CoolProp 7.0.0
An open-source fluid property and humid air property database
AbstractState.cpp
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1/*
2 * AbstractState.cpp
3 *
4 * Created on: 21 Dec 2013
5 * Author: jowr
6 */
7
8#ifndef _CRT_SECURE_NO_WARNINGS
9#define _CRT_SECURE_NO_WARNINGS
10#endif
11
12#include <stdlib.h>
13#include "math.h"
14#include "AbstractState.h"
15#include "DataStructures.h"
16#include "Backends/IF97/IF97Backend.h"
17#include "Backends/Cubics/CubicBackend.h"
18#include "Backends/Cubics/VTPRBackend.h"
19#include "Backends/Incompressible/IncompressibleBackend.h"
20#include "Backends/PCSAFT/PCSAFTBackend.h"
21
22#if !defined(NO_TABULAR_BACKENDS)
23#include "Backends/Tabular/TTSEBackend.h"
24#include "Backends/Tabular/BicubicBackend.h"
25#endif
26
27namespace CoolProp {
28
31
32class BackendLibrary
33{
34 private:
35 std::map<backend_families, shared_ptr<AbstractStateGenerator>> backends;
36
37 public:
38 void add_backend(const backend_families& bg, const shared_ptr<AbstractStateGenerator>& asg) {
39 backends[bg] = asg;
40 };
41 void get_generator_iterators(const backend_families& bg,
42 std::map<backend_families, shared_ptr<AbstractStateGenerator>>::const_iterator& generator,
43 std::map<backend_families, shared_ptr<AbstractStateGenerator>>::const_iterator& end) {
44 generator = backends.find(bg);
45 end = backends.end();
46 };
47 std::size_t size() {
48 return backends.size();
49 };
50};
51inline BackendLibrary& get_backend_library() {
52 static BackendLibrary the_library;
53 return the_library;
54}
55
56void register_backend(const backend_families& bf, shared_ptr<AbstractStateGenerator> gen) {
57 get_backend_library().add_backend(bf, gen);
58};
59
60class IF97BackendGenerator : public AbstractStateGenerator
61{
62 public:
63 AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
64 if (fluid_names.size() == 1) { // Check that fluid_names[0] has only one component
65 std::string str = fluid_names[0]; // Check that the fluid name is an alias for "Water"
66 if ((upper(str) == "WATER") || (upper(str) == "H2O")) {
67 return new IF97Backend();
68 } else {
69 throw ValueError(format("The IF97 backend returns Water props only; fluid name [%s] not allowed", fluid_names[0].c_str()));
70 }
71 } else {
72 throw ValueError(format("The IF97 backend does not support mixtures, only Water"));
73 };
74 };
75};
76// This static initialization will cause the generator to register
77static GeneratorInitializer<IF97BackendGenerator> if97_gen(IF97_BACKEND_FAMILY);
78class SRKGenerator : public AbstractStateGenerator
79{
80 public:
81 AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
82 return new SRKBackend(fluid_names, get_config_double(R_U_CODATA));
83 };
84};
85static GeneratorInitializer<SRKGenerator> srk_gen(CoolProp::SRK_BACKEND_FAMILY);
86class PRGenerator : public AbstractStateGenerator
87{
88 public:
89 AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
90 return new PengRobinsonBackend(fluid_names, get_config_double(R_U_CODATA));
91 };
92};
93static GeneratorInitializer<PRGenerator> pr_gen(CoolProp::PR_BACKEND_FAMILY);
94class IncompressibleBackendGenerator : public AbstractStateGenerator
95{
96 public:
97 AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
98 if (fluid_names.size() != 1) {
99 throw ValueError(format("For INCOMP backend, name vector must be one element long"));
100 }
101 return new IncompressibleBackend(fluid_names[0]);
102 };
103};
104// This static initialization will cause the generator to register
105static GeneratorInitializer<IncompressibleBackendGenerator> incomp_gen(INCOMP_BACKEND_FAMILY);
106class VTPRGenerator : public CoolProp::AbstractStateGenerator
107{
108 public:
109 CoolProp::AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
110 return new CoolProp::VTPRBackend(fluid_names, CoolProp::get_config_double(R_U_CODATA));
111 };
112};
113// This static initialization will cause the generator to register
114static CoolProp::GeneratorInitializer<VTPRGenerator> vtpr_gen(CoolProp::VTPR_BACKEND_FAMILY);
115
116class PCSAFTGenerator : public CoolProp::AbstractStateGenerator
117{
118 public:
119 CoolProp::AbstractState* get_AbstractState(const std::vector<std::string>& fluid_names) {
120 return new CoolProp::PCSAFTBackend(fluid_names);
121 };
122};
123// This static initialization will cause the generator to register
124static CoolProp::GeneratorInitializer<PCSAFTGenerator> pcsaft_gen(CoolProp::PCSAFT_BACKEND_FAMILY);
125
126AbstractState* AbstractState::factory(const std::string& backend, const std::vector<std::string>& fluid_names) {
127 if (get_debug_level() > 0) {
128 std::cout << "AbstractState::factory(" << backend << "," << stringvec_to_string(fluid_names) << ")" << std::endl;
129 }
130
131 backend_families f1;
132 std::string f2;
133 extract_backend_families_string(backend, f1, f2);
134
135 std::map<backend_families, shared_ptr<AbstractStateGenerator>>::const_iterator gen, end;
136 get_backend_library().get_generator_iterators(f1, gen, end);
137
138 if (get_debug_level() > 0) {
139 std::cout << "AbstractState::factory backend_library size: " << get_backend_library().size() << std::endl;
140 }
141
142 if (gen != end) {
143 // One of the registered backends was able to match the given backend family
144 return gen->second->get_AbstractState(fluid_names);
145 }
146#if !defined(NO_TABULAR_BACKENDS)
147 else if (f1 == TTSE_BACKEND_FAMILY) {
148 // Will throw if there is a problem with this backend
149 shared_ptr<AbstractState> AS(factory(f2, fluid_names));
150 return new TTSEBackend(AS);
151 } else if (f1 == BICUBIC_BACKEND_FAMILY) {
152 // Will throw if there is a problem with this backend
153 shared_ptr<AbstractState> AS(factory(f2, fluid_names));
154 return new BicubicBackend(AS);
155 }
156#endif
157 else if (!backend.compare("?") || backend.empty()) {
158 std::size_t idel = fluid_names[0].find("::");
159 // Backend has not been specified, and we have to figure out what the backend is by parsing the string
160 if (idel == std::string::npos) // No '::' found, no backend specified, try HEOS, otherwise a failure
161 {
162 // Figure out what backend to use
163 return factory("HEOS", fluid_names);
164 } else {
165 // Split string at the '::' into two std::string, call again
166 return factory(std::string(fluid_names[0].begin(), fluid_names[0].begin() + idel),
167 std::string(fluid_names[0].begin() + (idel + 2), fluid_names[0].end()));
168 }
169 } else {
170 throw ValueError(format("Invalid backend name [%s] to factory function", backend.c_str()));
171 }
172}
173std::vector<std::string> AbstractState::fluid_names(void) {
174 return calc_fluid_names();
175}
176bool AbstractState::clear_comp_change() {
177 // Reset all instances of CachedElement and overwrite
178 // the internal double values with -_HUGE
179 this->_molar_mass.clear();
180 this->_critical.fill(_HUGE);
181 this->_reducing.fill(_HUGE);
182 calc_reducing_state();
183 this->_gas_constant = calc_gas_constant();
184 return true;
185}
186bool AbstractState::clear() {
187 // Reset all instances of CachedElement
188 cache.clear();
189
190 this->_critical.fill(_HUGE);
191
193 this->_rhomolar = -_HUGE;
194 this->_T = -_HUGE;
195 this->_p = -_HUGE;
196 this->_Q = -_HUGE;
197
198 return true;
199}
200void AbstractState::mass_to_molar_inputs(CoolProp::input_pairs& input_pair, CoolPropDbl& value1, CoolPropDbl& value2) {
201 // Check if a mass based input, convert it to molar units
202
203 switch (input_pair) {
204 case DmassT_INPUTS:
205 //case HmassT_INPUTS: ///< Enthalpy in J/kg, Temperature in K (NOT CURRENTLY IMPLEMENTED)
206 case SmassT_INPUTS:
207 //case TUmass_INPUTS: ///< Temperature in K, Internal energy in J/kg (NOT CURRENTLY IMPLEMENTED)
208 case DmassP_INPUTS:
209 case DmassQ_INPUTS:
210 case HmassP_INPUTS:
211 case PSmass_INPUTS:
212 case PUmass_INPUTS:
213 case HmassSmass_INPUTS:
214 case SmassUmass_INPUTS:
215 case DmassHmass_INPUTS:
216 case DmassSmass_INPUTS:
217 case DmassUmass_INPUTS:
218 {
219 // Set the cache value for the molar mass if it hasn't been set yet
220 molar_mass();
221
222 // Molar mass (just for compactness of the following switch)
223 CoolPropDbl mm = static_cast<CoolPropDbl>(_molar_mass);
224
225 switch (input_pair) {
226 case DmassT_INPUTS:
227 input_pair = DmolarT_INPUTS;
228 value1 /= mm;
229 break;
230 //case HmassT_INPUTS: input_pair = HmolarT_INPUTS; value1 *= mm; break; (NOT CURRENTLY IMPLEMENTED)
231 case SmassT_INPUTS:
232 input_pair = SmolarT_INPUTS;
233 value1 *= mm;
234 break;
235 //case TUmass_INPUTS: input_pair = TUmolar_INPUTS; value2 *= mm; break; (NOT CURRENTLY IMPLEMENTED)
236 case DmassP_INPUTS:
237 input_pair = DmolarP_INPUTS;
238 value1 /= mm;
239 break;
240 case DmassQ_INPUTS:
241 input_pair = DmolarQ_INPUTS;
242 value1 /= mm;
243 break;
244 case HmassP_INPUTS:
245 input_pair = HmolarP_INPUTS;
246 value1 *= mm;
247 break;
248 case PSmass_INPUTS:
249 input_pair = PSmolar_INPUTS;
250 value2 *= mm;
251 break;
252 case PUmass_INPUTS:
253 input_pair = PUmolar_INPUTS;
254 value2 *= mm;
255 break;
256 case HmassSmass_INPUTS:
257 input_pair = HmolarSmolar_INPUTS;
258 value1 *= mm;
259 value2 *= mm;
260 break;
261 case SmassUmass_INPUTS:
262 input_pair = SmolarUmolar_INPUTS;
263 value1 *= mm;
264 value2 *= mm;
265 break;
266 case DmassHmass_INPUTS:
267 input_pair = DmolarHmolar_INPUTS;
268 value1 /= mm;
269 value2 *= mm;
270 break;
271 case DmassSmass_INPUTS:
272 input_pair = DmolarSmolar_INPUTS;
273 value1 /= mm;
274 value2 *= mm;
275 break;
276 case DmassUmass_INPUTS:
277 input_pair = DmolarUmolar_INPUTS;
278 value1 /= mm;
279 value2 *= mm;
280 break;
281 default:
282 break;
283 }
284 break;
285 }
286 default:
287 return;
288 }
289}
290double AbstractState::trivial_keyed_output(parameters key) {
291 if (get_debug_level() >= 50)
292 std::cout << format("AbstractState: trivial_keyed_output called for %s ", get_parameter_information(key, "short").c_str()) << std::endl;
293 switch (key) {
294 case imolar_mass:
295 return molar_mass();
296 case iacentric_factor:
297 return acentric_factor();
298 case igas_constant:
299 return gas_constant();
300 case iT_min:
301 return Tmin();
302 case iT_triple:
303 return Ttriple();
304 case iT_max:
305 return Tmax();
306 case iP_max:
307 return pmax();
308 case iP_min:
309 case iP_triple:
310 return this->p_triple();
311 case iT_reducing:
312 return calc_T_reducing();
313 case irhomolar_reducing:
314 return calc_rhomolar_reducing();
315 case iP_reducing:
316 return calc_p_reducing();
317 case iP_critical:
318 return this->p_critical();
319 case iT_critical:
320 return this->T_critical();
321 case irhomolar_critical:
322 return this->rhomolar_critical();
323 case irhomass_critical:
324 return this->rhomass_critical();
325 case iODP:
326 return this->calc_ODP();
327 case iGWP100:
328 return this->calc_GWP100();
329 case iGWP20:
330 return this->calc_GWP20();
331 case iGWP500:
332 return this->calc_GWP500();
333 case ifraction_min:
334 return this->calc_fraction_min();
335 case ifraction_max:
336 return this->calc_fraction_max();
337 case iT_freeze:
338 return this->calc_T_freeze();
339 case iFH:
340 return this->calc_flame_hazard();
341 case iHH:
342 return this->calc_health_hazard();
343 case iPH:
344 return this->calc_physical_hazard();
345 case idipole_moment:
346 return this->calc_dipole_moment();
347 default:
348 throw ValueError(
349 format("This input [%d: \"%s\"] is not valid for trivial_keyed_output", key, get_parameter_information(key, "short").c_str()));
350 }
351}
352double AbstractState::keyed_output(parameters key) {
353 if (get_debug_level() >= 50)
354 std::cout << format("AbstractState: keyed_output called for %s ", get_parameter_information(key, "short").c_str()) << std::endl;
355 // Handle trivial inputs
356 if (is_trivial_parameter(key)) {
357 return trivial_keyed_output(key);
358 }
359 switch (key) {
360 case iQ:
361 return Q();
362 case iT:
363 return T();
364 case iP:
365 return p();
366 case iDmolar:
367 return rhomolar();
368 case iDmass:
369 return rhomass();
370 case iHmolar:
371 return hmolar();
372 case iHmolar_residual:
373 return hmolar_residual();
374 case iHmass:
375 return hmass();
376 case iSmolar:
377 return smolar();
378 case iSmolar_residual:
379 return smolar_residual();
380 case iSmass:
381 return smass();
382 case iUmolar:
383 return umolar();
384 case iUmass:
385 return umass();
386 case iGmolar:
387 return gibbsmolar();
388 case iGmolar_residual:
389 return gibbsmolar_residual();
390 case iGmass:
391 return gibbsmass();
392 case iHelmholtzmolar:
393 return helmholtzmolar();
394 case iHelmholtzmass:
395 return helmholtzmass();
396 case iCvmolar:
397 return cvmolar();
398 case iCvmass:
399 return cvmass();
400 case iCpmolar:
401 return cpmolar();
402 case iCp0molar:
403 return cp0molar();
404 case iCpmass:
405 return cpmass();
406 case iCp0mass:
407 return cp0mass();
408 case imolar_mass:
409 return molar_mass();
410 case iT_reducing:
411 return get_reducing_state().T;
412 case irhomolar_reducing:
413 return get_reducing_state().rhomolar;
414 case ispeed_sound:
415 return speed_sound();
416 case ialphar:
417 return alphar();
418 case ialpha0:
419 return alpha0();
420 case idalpha0_ddelta_consttau:
421 return dalpha0_dDelta();
422 case id2alpha0_ddelta2_consttau:
423 return d2alpha0_dDelta2();
424 case id3alpha0_ddelta3_consttau:
425 return d3alpha0_dDelta3();
426 case idalpha0_dtau_constdelta:
427 return dalpha0_dTau();
428 case idalphar_ddelta_consttau:
429 return dalphar_dDelta();
430 case idalphar_dtau_constdelta:
431 return dalphar_dTau();
432 case iBvirial:
433 return Bvirial();
434 case idBvirial_dT:
435 return dBvirial_dT();
436 case iCvirial:
437 return Cvirial();
438 case idCvirial_dT:
439 return dCvirial_dT();
440 case iisothermal_compressibility:
441 return isothermal_compressibility();
442 case iisobaric_expansion_coefficient:
443 return isobaric_expansion_coefficient();
444 case iisentropic_expansion_coefficient:
445 return isentropic_expansion_coefficient();
446 case iviscosity:
447 return viscosity();
448 case iconductivity:
449 return conductivity();
450 case iPrandtl:
451 return Prandtl();
452 case isurface_tension:
453 return surface_tension();
454 case iPhase:
455 return phase();
456 case iZ:
457 return compressibility_factor();
458 case iPIP:
459 return PIP();
460 case ifundamental_derivative_of_gas_dynamics:
461 return fundamental_derivative_of_gas_dynamics();
462 case iTau:
463 return _reducing.T/_T;
464 case iDelta:
465 return _rhomolar/_reducing.rhomolar;
466 default:
467 throw ValueError(format("This input [%d: \"%s\"] is not valid for keyed_output", key, get_parameter_information(key, "short").c_str()));
468 }
469}
470
471double AbstractState::tau(void) {
472 if (!_tau) _tau = calc_reciprocal_reduced_temperature();
473 return _tau;
474}
475double AbstractState::delta(void) {
476 if (!_delta) _delta = calc_reduced_density();
477 return _delta;
478}
479double AbstractState::Tmin(void) {
480 return calc_Tmin();
481}
482double AbstractState::Tmax(void) {
483 return calc_Tmax();
484}
485double AbstractState::Ttriple(void) {
486 return calc_Ttriple();
487}
488double AbstractState::pmax(void) {
489 return calc_pmax();
490}
491double AbstractState::T_critical(void) {
492 return calc_T_critical();
493}
494double AbstractState::T_reducing(void) {
495 if (!ValidNumber(_reducing.T)) {
496 calc_reducing_state();
497 }
498 return _reducing.T;
499}
500double AbstractState::p_critical(void) {
501 return calc_p_critical();
502}
503double AbstractState::p_triple(void) {
504 return calc_p_triple();
505}
506double AbstractState::rhomolar_critical(void) {
507 return calc_rhomolar_critical();
508}
509double AbstractState::rhomass_critical(void) {
510 return calc_rhomolar_critical() * molar_mass();
511}
512double AbstractState::rhomolar_reducing(void) {
513 if (!ValidNumber(_reducing.rhomolar)) {
514 calc_reducing_state();
515 }
516 return _reducing.rhomolar;
517}
518double AbstractState::rhomass_reducing(void) {
519 return rhomolar_reducing() * molar_mass();
520}
521double AbstractState::hmolar(void) {
522 if (!_hmolar) _hmolar = calc_hmolar();
523 return _hmolar;
524}
525double AbstractState::hmolar_residual(void) {
526 if (!_hmolar_residual) _hmolar_residual = calc_hmolar_residual();
527 return _hmolar_residual;
528}
529double AbstractState::hmolar_excess(void) {
530 if (!_hmolar_excess) calc_excess_properties();
531 return _hmolar_excess;
532}
533double AbstractState::smolar(void) {
534 if (!_smolar) _smolar = calc_smolar();
535 return _smolar;
536}
537double AbstractState::smolar_residual(void) {
538 if (!_smolar_residual) _smolar_residual = calc_smolar_residual();
539 return _smolar_residual;
540}
541double AbstractState::neff(void) {
542 double tau = calc_T_reducing()/_T;
543 double delta = _rhomolar/calc_rhomolar_reducing();
544 double Ar01 = delta*dalphar_dDelta();
545 double Ar11 = tau*delta*d2alphar_dDelta_dTau();
546 double Ar20 = tau*tau*d2alphar_dTau2();
547 return -3.0*(Ar01-Ar11)/Ar20;
548}
549double AbstractState::smolar_excess(void) {
550 if (!_smolar_excess) calc_excess_properties();
551 return _smolar_excess;
552}
553double AbstractState::umolar(void) {
554 if (!_umolar) _umolar = calc_umolar();
555 return _umolar;
556}
557double AbstractState::umolar_excess(void) {
558 if (!_umolar_excess) calc_excess_properties();
559 return _umolar_excess;
560}
561double AbstractState::gibbsmolar(void) {
562 if (!_gibbsmolar) _gibbsmolar = calc_gibbsmolar();
563 return _gibbsmolar;
564}
565double AbstractState::gibbsmolar_residual(void) {
566 if (!_gibbsmolar_residual) _gibbsmolar_residual = calc_gibbsmolar_residual();
567 return _gibbsmolar_residual;
568}
569double AbstractState::gibbsmolar_excess(void) {
570 if (!_gibbsmolar_excess) calc_excess_properties();
571 return _gibbsmolar_excess;
572}
573double AbstractState::helmholtzmolar(void) {
574 if (!_helmholtzmolar) _helmholtzmolar = calc_helmholtzmolar();
575 return _helmholtzmolar;
576}
577double AbstractState::helmholtzmolar_excess(void) {
578 if (!_helmholtzmolar_excess) calc_excess_properties();
579 return _helmholtzmolar_excess;
580}
581double AbstractState::volumemolar_excess(void) {
582 if (!_volumemolar_excess) calc_excess_properties();
583 return _volumemolar_excess;
584}
585double AbstractState::cpmolar(void) {
586 if (!_cpmolar) _cpmolar = calc_cpmolar();
587 return _cpmolar;
588}
589double AbstractState::cp0molar(void) {
590 return calc_cpmolar_idealgas();
591}
592double AbstractState::cvmolar(void) {
593 if (!_cvmolar) _cvmolar = calc_cvmolar();
594 return _cvmolar;
595}
596double AbstractState::speed_sound(void) {
597 if (!_speed_sound) _speed_sound = calc_speed_sound();
598 return _speed_sound;
599}
600double AbstractState::viscosity(void) {
601 if (!_viscosity) _viscosity = calc_viscosity();
602 return _viscosity;
603}
604double AbstractState::conductivity(void) {
605 if (!_conductivity) _conductivity = calc_conductivity();
606 return _conductivity;
607}
608double AbstractState::melting_line(int param, int given, double value) {
609 return calc_melting_line(param, given, value);
610}
611double AbstractState::acentric_factor() {
612 return calc_acentric_factor();
613}
614double AbstractState::saturation_ancillary(parameters param, int Q, parameters given, double value) {
615 return calc_saturation_ancillary(param, Q, given, value);
616}
617double AbstractState::surface_tension(void) {
618 if (!_surface_tension) _surface_tension = calc_surface_tension();
619 return _surface_tension;
620}
621double AbstractState::molar_mass(void) {
622 if (!_molar_mass) _molar_mass = calc_molar_mass();
623 return _molar_mass;
624}
625double AbstractState::gas_constant(void) {
626 if (!_gas_constant) _gas_constant = calc_gas_constant();
627 return _gas_constant;
628}
629double AbstractState::fugacity_coefficient(std::size_t i) {
630 // TODO: Cache the fug. coeff for each component
631 return calc_fugacity_coefficient(i);
632}
633std::vector<double> AbstractState::fugacity_coefficients() {
634 // TODO: Cache the fug. coeff for each component
635 return calc_fugacity_coefficients();
636}
637double AbstractState::fugacity(std::size_t i) {
638 // TODO: Cache the fug. coeff for each component
639 return calc_fugacity(i);
640}
641double AbstractState::chemical_potential(std::size_t i) {
642 // TODO: Cache the chemical potential for each component
643 return calc_chemical_potential(i);
644}
645void AbstractState::build_phase_envelope(const std::string& type) {
646 calc_phase_envelope(type);
647}
648double AbstractState::isothermal_compressibility(void) {
649 return 1.0 / _rhomolar * first_partial_deriv(iDmolar, iP, iT);
650}
651double AbstractState::isobaric_expansion_coefficient(void) {
652 return -1.0 / _rhomolar * first_partial_deriv(iDmolar, iT, iP);
653}
654double AbstractState::isentropic_expansion_coefficient(void) {
655 return _rhomolar / _p * first_partial_deriv(iP, iDmolar, iSmolar);
656}
657double AbstractState::Bvirial(void) {
658 return calc_Bvirial();
659}
660double AbstractState::Cvirial(void) {
661 return calc_Cvirial();
662}
663double AbstractState::dBvirial_dT(void) {
664 return calc_dBvirial_dT();
665}
666double AbstractState::dCvirial_dT(void) {
667 return calc_dCvirial_dT();
668}
669double AbstractState::compressibility_factor(void) {
670 return calc_compressibility_factor();
671}
672
673double AbstractState::fundamental_derivative_of_gas_dynamics() {
674 // See Colonna, FPE, 2010, Eq. 1
675 return 1 + this->second_partial_deriv(iP, iDmass, iSmolar, iDmass, iSmolar) * this->rhomass() / (2 * powInt(speed_sound(), 2));
676};
677
678// Get the derivatives of the parameters in the partial derivative with respect to T and rho
679void get_dT_drho(AbstractState& AS, parameters index, CoolPropDbl& dT, CoolPropDbl& drho) {
680 CoolPropDbl T = AS.T(), rho = AS.rhomolar(), rhor = AS.rhomolar_reducing(), Tr = AS.T_reducing(), dT_dtau = -pow(T, 2) / Tr,
681 R = AS.gas_constant(), delta = rho / rhor, tau = Tr / T;
682
683 switch (index) {
684 case iT:
685 dT = 1;
686 drho = 0;
687 break;
688 case iDmolar:
689 dT = 0;
690 drho = 1;
691 break;
692 case iDmass:
693 dT = 0;
694 drho = AS.molar_mass();
695 break;
696 case iP: {
697 // dp/drho|T
698 drho = R * T * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2());
699 // dp/dT|rho
700 dT = rho * R * (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau());
701 break;
702 }
703 case iHmass:
704 case iHmolar: {
705 // dh/dT|rho
706 dT = R
707 * (-pow(tau, 2) * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2())
708 + (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()));
709 // dh/drhomolar|T
710 drho = T * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau() + delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2());
711 if (index == iHmass) {
712 // dhmolar/drhomolar|T * dhmass/dhmolar where dhmass/dhmolar = 1/mole mass
713 drho /= AS.molar_mass();
714 dT /= AS.molar_mass();
715 }
716 break;
717 }
718 case iSmass:
719 case iSmolar: {
720 // ds/dT|rho
721 dT = R / T * (-pow(tau, 2) * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2()));
722 // ds/drho|T
723 drho = R / rho * (-(1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()));
724 if (index == iSmass) {
725 // ds/drho|T / drhomass/drhomolar where drhomass/drhomolar = mole mass
726 drho /= AS.molar_mass();
727 dT /= AS.molar_mass();
728 }
729 break;
730 }
731 case iUmass:
732 case iUmolar: {
733 // du/dT|rho
734 dT = R * (-pow(tau, 2) * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2()));
735 // du/drho|T
736 drho = AS.T() * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau());
737 if (index == iUmass) {
738 // du/drho|T / drhomass/drhomolar where drhomass/drhomolar = mole mass
739 drho /= AS.molar_mass();
740 dT /= AS.molar_mass();
741 }
742 break;
743 }
744 case iGmass:
745 case iGmolar: {
746 // dg/dT|rho
747 double dTau_dT = 1 / dT_dtau;
748 dT = R * AS.T() * (AS.dalpha0_dTau() + AS.dalphar_dTau() + AS.delta() * AS.d2alphar_dDelta_dTau()) * dTau_dT
749 + R * (1 + AS.alpha0() + AS.alphar() + AS.delta() * AS.dalphar_dDelta());
750 // dg/drho|T
751 double dDelta_drho = 1 / rhor;
752 drho = AS.T() * R * (AS.dalpha0_dDelta() + AS.dalphar_dDelta() + AS.delta() * AS.d2alphar_dDelta2() + AS.dalphar_dDelta()) * dDelta_drho;
753 if (index == iGmass) {
754 // dg/drho|T / drhomass/drhomolar where drhomass/drhomolar = mole mass
755 drho /= AS.molar_mass();
756 dT /= AS.molar_mass();
757 }
758 break;
759 }
760 case iTau:
761 dT = 1 / dT_dtau;
762 drho = 0;
763 break;
764 case iDelta:
765 dT = 0;
766 drho = 1 / rhor;
767 break;
768 case iCvmolar:
769 case iCvmass: {
770 // use the second order derivative of internal energy
771 // make it cleaner by using the function get_dT_drho_second_derivatives directly?
772 // dcvdT|rho = d2u/dT2|rho
773 dT = R / T * pow(tau, 2) * (tau * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 2 * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2()));
774 // dcvdrho|T = d2u/dT/drho
775 drho = R / rho * (-pow(tau, 2) * delta * AS.d3alphar_dDelta_dTau2());
776 if (index == iCvmass) {
777 drho /= AS.molar_mass();
778 dT /= AS.molar_mass();
779 }
780 break;
781 }
782 case iCpmolar:
783 case iCpmass: {
784 // dcp/dT|rho = d2h/dT2 + dh/drho * dP/dT * d2P/drhodT / ( dp/drho )^2 - ( d2h/dTdrho * dP/dT + dh/drho * d2P/dT2 ) / ( dP/drho )
785 dT = R / T * pow(tau, 2)
786 * (tau * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 2 * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2())
787 + delta * AS.d3alphar_dDelta_dTau2());
788 dT += (T * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau() + delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()))
789 * (rho * R * (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()))
790 * (R
791 * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2() - 2 * delta * tau * AS.d2alphar_dDelta_dTau()
792 - tau * pow(delta, 2) * AS.d3alphar_dDelta2_dTau()))
793 / pow(R * T * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()), 2);
794 dT -= ((R / rho * delta
795 * (delta * AS.d2alphar_dDelta2() - pow(tau, 2) * AS.d3alphar_dDelta_dTau2() + AS.dalphar_dDelta()
796 - tau * delta * AS.d3alphar_dDelta2_dTau() - tau * AS.d2alphar_dDelta_dTau()))
797 * (rho * R * (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()))
798 + (T * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau() + delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()))
799 * (rho * R / T * (pow(tau, 2) * delta * AS.d3alphar_dDelta_dTau2())))
800 / (R * T * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()));
801 // dcpdrho|T = d2h/dTdrho + dh/drho * dP/dT * d2P/drho2 / ( dp/drho )^2 - ( d2h/drho2 * dP/dT + dh/drho * d2P/dTdrho ) / ( dP/drho )
802 drho = R / rho * delta
803 * (delta * AS.d2alphar_dDelta2() - pow(tau, 2) * AS.d3alphar_dDelta_dTau2() + AS.dalphar_dDelta()
804 - tau * delta * AS.d3alphar_dDelta2_dTau() - tau * AS.d2alphar_dDelta_dTau()); //d2h/dTdrho
805 drho +=
806 (T * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau() + delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()))
807 * (rho * R * (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()))
808 * (T * R / rho * (2 * delta * AS.dalphar_dDelta() + 4 * pow(delta, 2) * AS.d2alphar_dDelta2() + pow(delta, 3) * AS.d3alphar_dDelta3()))
809 / pow(R * T * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()), 2);
810 drho -= ((R * T * pow(delta / rho, 2) * (tau * AS.d3alphar_dDelta2_dTau() + 2 * AS.d2alphar_dDelta2() + delta * AS.d3alphar_dDelta3()))
811 * (rho * R * (1 + delta * AS.dalphar_dDelta() - tau * delta * AS.d2alphar_dDelta_dTau()))
812 + (T * R / rho * (tau * delta * AS.d2alphar_dDelta_dTau() + delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()))
813 * (R
814 * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()
815 - 2 * delta * tau * AS.d2alphar_dDelta_dTau() - tau * pow(delta, 2) * AS.d3alphar_dDelta2_dTau())))
816 / (R * T * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2()));
817 if (index == iCpmass) {
818 drho /= AS.molar_mass();
819 dT /= AS.molar_mass();
820 }
821 break;
822 }
823 case ispeed_sound: {
824 //dwdT
825 double aa = 1.0 + delta * AS.dalphar_dDelta() - delta * tau * AS.d2alphar_dDelta_dTau();
826 double bb = pow(tau, 2) * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2());
827 double daa_dTau = -delta * tau * AS.d3alphar_dDelta_dTau2();
828 double dbb_dTau = pow(tau, 2) * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 2.0 * tau * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2());
829 double w = AS.speed_sound();
830 dT = 1.0 / 2.0 / w / T
831 * (pow(w, 2)
832 - R * Tr / AS.molar_mass()
833 * (2.0 * delta * AS.d2alphar_dDelta_dTau() + pow(delta, 2) * AS.d3alphar_dDelta2_dTau()
834 - (2 * aa / bb * daa_dTau - pow(aa / bb, 2) * dbb_dTau)));
835 //dwdrho
836 double daa_dDelta =
837 AS.dalphar_dDelta() + delta * AS.d2alphar_dDelta2() - tau * (AS.d2alphar_dDelta_dTau() + delta * AS.d3alphar_dDelta2_dTau());
838 double dbb_dDelta = pow(tau, 2) * (AS.d3alpha0_dDelta_dTau2() + AS.d3alphar_dDelta_dTau2());
839 drho = R * T / 2.0 / AS.molar_mass() / w / rhor
840 * (2.0 * (AS.dalphar_dDelta() + delta * AS.d2alphar_dDelta2())
841 + (2.0 * delta * AS.d2alphar_dDelta2() + pow(delta, 2) * AS.d3alphar_dDelta3())
842 - (2 * aa / bb * daa_dDelta - pow(aa / bb, 2) * dbb_dDelta));
843 break;
844 }
845 default:
846 throw ValueError(format("input to get_dT_drho[%s] is invalid", get_parameter_information(index, "short").c_str()));
847 }
848}
849void get_dT_drho_second_derivatives(AbstractState& AS, int index, CoolPropDbl& dT2, CoolPropDbl& drho_dT, CoolPropDbl& drho2) {
850 CoolPropDbl T = AS.T(), rho = AS.rhomolar(), rhor = AS.rhomolar_reducing(), Tr = AS.T_reducing(), R = AS.gas_constant(), delta = rho / rhor,
851 tau = Tr / T;
852
853 // Here we use T and rho as independent variables since derivations are already done by Thorade, 2013,
854 // Partial derivatives of thermodynamic state propertiesfor dynamic simulation, DOI 10.1007/s12665-013-2394-z
855
856 switch (index) {
857 case iT:
858 case iDmass:
859 case iDmolar:
860 dT2 = 0; // d2rhomolar_dtau2
861 drho2 = 0;
862 drho_dT = 0;
863 break;
864 case iTau:
865 dT2 = 2 * Tr / pow(T, 3);
866 drho_dT = 0;
867 drho2 = 0;
868 break;
869 case iDelta:
870 dT2 = 0;
871 drho_dT = 0;
872 drho2 = 0;
873 break;
874 case iP: {
875 drho2 =
876 T * R / rho * (2 * delta * AS.dalphar_dDelta() + 4 * pow(delta, 2) * AS.d2alphar_dDelta2() + pow(delta, 3) * AS.d3alphar_dDelta3());
877 dT2 = rho * R / T * (pow(tau, 2) * delta * AS.d3alphar_dDelta_dTau2());
878 drho_dT = R
879 * (1 + 2 * delta * AS.dalphar_dDelta() + pow(delta, 2) * AS.d2alphar_dDelta2() - 2 * delta * tau * AS.d2alphar_dDelta_dTau()
880 - tau * pow(delta, 2) * AS.d3alphar_dDelta2_dTau());
881 break;
882 }
883 case iHmass:
884 case iHmolar: {
885 // d2h/drho2|T
886 drho2 = R * T * pow(delta / rho, 2) * (tau * AS.d3alphar_dDelta2_dTau() + 2 * AS.d2alphar_dDelta2() + delta * AS.d3alphar_dDelta3());
887 // d2h/dT2|rho
888 dT2 = R / T * pow(tau, 2)
889 * (tau * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 2 * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2())
890 + delta * AS.d3alphar_dDelta_dTau2());
891 // d2h/drho/dT
892 drho_dT = R / rho * delta
893 * (delta * AS.d2alphar_dDelta2() - pow(tau, 2) * AS.d3alphar_dDelta_dTau2() + AS.dalphar_dDelta()
894 - tau * delta * AS.d3alphar_dDelta2_dTau() - tau * AS.d2alphar_dDelta_dTau());
895 if (index == iHmass) {
896 drho2 /= AS.molar_mass();
897 drho_dT /= AS.molar_mass();
898 dT2 /= AS.molar_mass();
899 }
900 break;
901 }
902 case iSmass:
903 case iSmolar: {
904 // d2s/rho2|T
905 drho2 = R / pow(rho, 2) * (1 - pow(delta, 2) * AS.d2alphar_dDelta2() + tau * pow(delta, 2) * AS.d3alphar_dDelta2_dTau());
906 // d2s/dT2|rho
907 dT2 = R * pow(tau / T, 2) * (tau * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 3 * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2()));
908 // d2s/drho/dT
909 drho_dT = R / (T * rho) * (-pow(tau, 2) * delta * AS.d3alphar_dDelta_dTau2());
910 if (index == iSmass) {
911 drho2 /= AS.molar_mass();
912 drho_dT /= AS.molar_mass();
913 dT2 /= AS.molar_mass();
914 }
915 break;
916 }
917 case iUmass:
918 case iUmolar: {
919 // d2u/rho2|T
920 drho2 = R * T * tau * pow(delta / rho, 2) * AS.d3alphar_dDelta2_dTau();
921 // d2u/dT2|rho
922 dT2 = R / T * pow(tau, 2) * (tau * (AS.d3alpha0_dTau3() + AS.d3alphar_dTau3()) + 2 * (AS.d2alpha0_dTau2() + AS.d2alphar_dTau2()));
923 // d2u/drho/dT
924 drho_dT = R / rho * (-pow(tau, 2) * delta * AS.d3alphar_dDelta_dTau2());
925 if (index == iUmass) {
926 drho2 /= AS.molar_mass();
927 drho_dT /= AS.molar_mass();
928 dT2 /= AS.molar_mass();
929 }
930 break;
931 }
932 default:
933 throw ValueError(format("input to get_dT_drho_second_derivatives[%s] is invalid", get_parameter_information(index, "short").c_str()));
934 }
935}
936CoolPropDbl AbstractState::calc_first_partial_deriv(parameters Of, parameters Wrt, parameters Constant) {
937 CoolPropDbl dOf_dT, dOf_drho, dWrt_dT, dWrt_drho, dConstant_dT, dConstant_drho;
938
939 get_dT_drho(*this, Of, dOf_dT, dOf_drho);
940 get_dT_drho(*this, Wrt, dWrt_dT, dWrt_drho);
941 get_dT_drho(*this, Constant, dConstant_dT, dConstant_drho);
942
943 return (dOf_dT * dConstant_drho - dOf_drho * dConstant_dT) / (dWrt_dT * dConstant_drho - dWrt_drho * dConstant_dT);
944}
945CoolPropDbl AbstractState::calc_second_partial_deriv(parameters Of1, parameters Wrt1, parameters Constant1, parameters Wrt2, parameters Constant2) {
946 CoolPropDbl dOf1_dT, dOf1_drho, dWrt1_dT, dWrt1_drho, dConstant1_dT, dConstant1_drho, d2Of1_dT2, d2Of1_drhodT, d2Of1_drho2, d2Wrt1_dT2,
947 d2Wrt1_drhodT, d2Wrt1_drho2, d2Constant1_dT2, d2Constant1_drhodT, d2Constant1_drho2, dWrt2_dT, dWrt2_drho, dConstant2_dT, dConstant2_drho, N, D,
948 dNdrho__T, dDdrho__T, dNdT__rho, dDdT__rho, dderiv1_drho, dderiv1_dT, second;
949
950 // First and second partials needed for terms involved in first derivative
951 get_dT_drho(*this, Of1, dOf1_dT, dOf1_drho);
952 get_dT_drho(*this, Wrt1, dWrt1_dT, dWrt1_drho);
953 get_dT_drho(*this, Constant1, dConstant1_dT, dConstant1_drho);
954 get_dT_drho_second_derivatives(*this, Of1, d2Of1_dT2, d2Of1_drhodT, d2Of1_drho2);
955 get_dT_drho_second_derivatives(*this, Wrt1, d2Wrt1_dT2, d2Wrt1_drhodT, d2Wrt1_drho2);
956 get_dT_drho_second_derivatives(*this, Constant1, d2Constant1_dT2, d2Constant1_drhodT, d2Constant1_drho2);
957
958 // First derivatives of terms involved in the second derivative
959 get_dT_drho(*this, Wrt2, dWrt2_dT, dWrt2_drho);
960 get_dT_drho(*this, Constant2, dConstant2_dT, dConstant2_drho);
961
962 // Numerator and denominator of first partial derivative term
963 N = dOf1_dT * dConstant1_drho - dOf1_drho * dConstant1_dT;
964 D = dWrt1_dT * dConstant1_drho - dWrt1_drho * dConstant1_dT;
965
966 // Derivatives of the numerator and denominator of the first partial derivative term with respect to rho, T held constant
967 // They are of similar form, with Of1 and Wrt1 swapped
968 dNdrho__T = dOf1_dT * d2Constant1_drho2 + d2Of1_drhodT * dConstant1_drho - dOf1_drho * d2Constant1_drhodT - d2Of1_drho2 * dConstant1_dT;
969 dDdrho__T = dWrt1_dT * d2Constant1_drho2 + d2Wrt1_drhodT * dConstant1_drho - dWrt1_drho * d2Constant1_drhodT - d2Wrt1_drho2 * dConstant1_dT;
970
971 // Derivatives of the numerator and denominator of the first partial derivative term with respect to T, rho held constant
972 // They are of similar form, with Of1 and Wrt1 swapped
973 dNdT__rho = dOf1_dT * d2Constant1_drhodT + d2Of1_dT2 * dConstant1_drho - dOf1_drho * d2Constant1_dT2 - d2Of1_drhodT * dConstant1_dT;
974 dDdT__rho = dWrt1_dT * d2Constant1_drhodT + d2Wrt1_dT2 * dConstant1_drho - dWrt1_drho * d2Constant1_dT2 - d2Wrt1_drhodT * dConstant1_dT;
975
976 // First partial of first derivative term with respect to T
977 dderiv1_drho = (D * dNdrho__T - N * dDdrho__T) / pow(D, 2);
978
979 // First partial of first derivative term with respect to rho
980 dderiv1_dT = (D * dNdT__rho - N * dDdT__rho) / pow(D, 2);
981
982 // Complete second derivative
983 second = (dderiv1_dT * dConstant2_drho - dderiv1_drho * dConstant2_dT) / (dWrt2_dT * dConstant2_drho - dWrt2_drho * dConstant2_dT);
984
985 return second;
986}
987// // ----------------------------------------
988// // Smoothing functions for density
989// // ----------------------------------------
990// /// A smoothed version of the derivative using a spline curve in the region of x=0 to x=xend
991// virtual double AbstractState::drhodh_constp_smoothed(double xend);
992// /// A smoothed version of the derivative using a spline curve in the region of x=0 to x=xend
993// virtual double AbstractState::drhodp_consth_smoothed(double xend);
994// /// Density corresponding to the smoothed derivatives in the region of x=0 to x=xend
995// virtual void AbstractState::rho_smoothed(double xend, double *rho_spline, double *dsplinedh, double *dsplinedp);
996
997} /* namespace CoolProp */
998
999#ifdef ENABLE_CATCH
1000
1001#include <catch2/catch_all.hpp>
1002
1003TEST_CASE("Check AbstractState", "[AbstractState]") {
1004 SECTION("bad backend") {
1005 CHECK_THROWS(shared_ptr<CoolProp::AbstractState>(CoolProp::AbstractState::factory("DEFINITELY_A_BAD_BACKEND", "Water")));
1006 }
1007 SECTION("good backend - bad fluid") {
1008 CHECK_THROWS(shared_ptr<CoolProp::AbstractState>(CoolProp::AbstractState::factory("HEOS", "DEFINITELY_A_BAD_FLUID")));
1009 }
1010 SECTION("good backend - helmholtz") {
1011 CHECK_NOTHROW(shared_ptr<CoolProp::AbstractState>(CoolProp::AbstractState::factory("HEOS", "Water")));
1012 }
1013 SECTION("good backend - incomp") {
1014 CHECK_NOTHROW(shared_ptr<CoolProp::AbstractState>(CoolProp::AbstractState::factory("INCOMP", "DEB")));
1015 }
1016 SECTION("good backend - REFPROP") {
1017 CHECK_NOTHROW(shared_ptr<CoolProp::AbstractState>(CoolProp::AbstractState::factory("REFPROP", "Water")));
1018 }
1019}
1020
1021TEST_CASE("Check derivatives in first_partial_deriv", "[derivs_in_first_partial_deriv]") {
1022 shared_ptr<CoolProp::AbstractState> Water(CoolProp::AbstractState::factory("HEOS", "Water"));
1023 shared_ptr<CoolProp::AbstractState> WaterplusT(CoolProp::AbstractState::factory("HEOS", "Water"));
1024 shared_ptr<CoolProp::AbstractState> WaterminusT(CoolProp::AbstractState::factory("HEOS", "Water"));
1025 shared_ptr<CoolProp::AbstractState> Waterplusrho(CoolProp::AbstractState::factory("HEOS", "Water"));
1026 shared_ptr<CoolProp::AbstractState> Waterminusrho(CoolProp::AbstractState::factory("HEOS", "Water"));
1027
1028 double dT = 1e-3, drho = 1;
1029 Water->update(CoolProp::PT_INPUTS, 101325, 300);
1030 WaterplusT->update(CoolProp::DmolarT_INPUTS, Water->rhomolar(), 300 + dT);
1031 WaterminusT->update(CoolProp::DmolarT_INPUTS, Water->rhomolar(), 300 - dT);
1032 Waterplusrho->update(CoolProp::DmolarT_INPUTS, Water->rhomolar() + drho, 300);
1033 Waterminusrho->update(CoolProp::DmolarT_INPUTS, Water->rhomolar() - drho, 300);
1034
1035 // Numerical derivatives
1036 CoolPropDbl dP_dT_num = (WaterplusT->p() - WaterminusT->p()) / (2 * dT);
1037 CoolPropDbl dP_drho_num = (Waterplusrho->p() - Waterminusrho->p()) / (2 * drho);
1038
1039 CoolPropDbl dHmolar_dT_num = (WaterplusT->hmolar() - WaterminusT->hmolar()) / (2 * dT);
1040 CoolPropDbl dHmolar_drho_num = (Waterplusrho->hmolar() - Waterminusrho->hmolar()) / (2 * drho);
1041 CoolPropDbl dHmass_dT_num = (WaterplusT->hmass() - WaterminusT->hmass()) / (2 * dT);
1042 CoolPropDbl dHmass_drho_num = (Waterplusrho->hmass() - Waterminusrho->hmass()) / (2 * drho);
1043
1044 CoolPropDbl dSmolar_dT_num = (WaterplusT->smolar() - WaterminusT->smolar()) / (2 * dT);
1045 CoolPropDbl dSmolar_drho_num = (Waterplusrho->smolar() - Waterminusrho->smolar()) / (2 * drho);
1046 CoolPropDbl dSmass_dT_num = (WaterplusT->smass() - WaterminusT->smass()) / (2 * dT);
1047 CoolPropDbl dSmass_drho_num = (Waterplusrho->smass() - Waterminusrho->smass()) / (2 * drho);
1048
1049 CoolPropDbl dUmolar_dT_num = (WaterplusT->umolar() - WaterminusT->umolar()) / (2 * dT);
1050 CoolPropDbl dUmolar_drho_num = (Waterplusrho->umolar() - Waterminusrho->umolar()) / (2 * drho);
1051 CoolPropDbl dUmass_dT_num = (WaterplusT->umass() - WaterminusT->umass()) / (2 * dT);
1052 CoolPropDbl dUmass_drho_num = (Waterplusrho->umass() - Waterminusrho->umass()) / (2 * drho);
1053
1054 CoolPropDbl dGmolar_dT_num = (WaterplusT->gibbsmolar() - WaterminusT->gibbsmolar()) / (2 * dT);
1055 CoolPropDbl dGmolar_drho_num = (Waterplusrho->gibbsmolar() - Waterminusrho->gibbsmolar()) / (2 * drho);
1056 CoolPropDbl dGmass_dT_num = (WaterplusT->gibbsmass() - WaterminusT->gibbsmass()) / (2 * dT);
1057 CoolPropDbl dGmass_drho_num = (Waterplusrho->gibbsmass() - Waterminusrho->gibbsmass()) / (2 * drho);
1058
1059 CoolPropDbl dCvmolar_dT_num = (WaterplusT->cvmolar() - WaterminusT->cvmolar()) / (2 * dT);
1060 CoolPropDbl dCvmolar_drho_num = (Waterplusrho->cvmolar() - Waterminusrho->cvmolar()) / (2 * drho);
1061 CoolPropDbl dCvmass_dT_num = (WaterplusT->cvmass() - WaterminusT->cvmass()) / (2 * dT);
1062 CoolPropDbl dCvmass_drho_num = (Waterplusrho->cvmass() - Waterminusrho->cvmass()) / (2 * drho);
1063
1064 CoolPropDbl dCpmolar_dT_num = (WaterplusT->cpmolar() - WaterminusT->cpmolar()) / (2 * dT);
1065 CoolPropDbl dCpmolar_drho_num = (Waterplusrho->cpmolar() - Waterminusrho->cpmolar()) / (2 * drho);
1066 CoolPropDbl dCpmass_dT_num = (WaterplusT->cpmass() - WaterminusT->cpmass()) / (2 * dT);
1067 CoolPropDbl dCpmass_drho_num = (Waterplusrho->cpmass() - Waterminusrho->cpmass()) / (2 * drho);
1068
1069 CoolPropDbl dspeed_sound_dT_num = (WaterplusT->speed_sound() - WaterminusT->speed_sound()) / (2 * dT);
1070 CoolPropDbl dspeed_sound_drho_num = (Waterplusrho->speed_sound() - Waterminusrho->speed_sound()) / (2 * drho);
1071
1072 // Pressure
1073 CoolPropDbl dP_dT_analyt, dP_drho_analyt;
1074 CoolProp::get_dT_drho(*Water, CoolProp::iP, dP_dT_analyt, dP_drho_analyt);
1075 // Enthalpy
1076 CoolPropDbl dHmolar_dT_analyt, dHmolar_drho_analyt;
1077 CoolProp::get_dT_drho(*Water, CoolProp::iHmolar, dHmolar_dT_analyt, dHmolar_drho_analyt);
1078 CoolPropDbl dHmass_dT_analyt, dHmass_drho_analyt;
1079 CoolProp::get_dT_drho(*Water, CoolProp::iHmass, dHmass_dT_analyt, dHmass_drho_analyt);
1080 // Entropy
1081 CoolPropDbl dSmolar_dT_analyt, dSmolar_drho_analyt;
1082 CoolProp::get_dT_drho(*Water, CoolProp::iSmolar, dSmolar_dT_analyt, dSmolar_drho_analyt);
1083 CoolPropDbl dSmass_dT_analyt, dSmass_drho_analyt;
1084 CoolProp::get_dT_drho(*Water, CoolProp::iSmass, dSmass_dT_analyt, dSmass_drho_analyt);
1085 // Internal energy
1086 CoolPropDbl dUmolar_dT_analyt, dUmolar_drho_analyt;
1087 CoolProp::get_dT_drho(*Water, CoolProp::iUmolar, dUmolar_dT_analyt, dUmolar_drho_analyt);
1088 CoolPropDbl dUmass_dT_analyt, dUmass_drho_analyt;
1089 CoolProp::get_dT_drho(*Water, CoolProp::iUmass, dUmass_dT_analyt, dUmass_drho_analyt);
1090 // Gibbs
1091 CoolPropDbl dGmolar_dT_analyt, dGmolar_drho_analyt;
1092 CoolProp::get_dT_drho(*Water, CoolProp::iGmolar, dGmolar_dT_analyt, dGmolar_drho_analyt);
1093 CoolPropDbl dGmass_dT_analyt, dGmass_drho_analyt;
1094 CoolProp::get_dT_drho(*Water, CoolProp::iGmass, dGmass_dT_analyt, dGmass_drho_analyt);
1095 // Isochoric heat capacity
1096 CoolPropDbl dCvmolar_dT_analyt, dCvmolar_drho_analyt;
1097 CoolProp::get_dT_drho(*Water, CoolProp::iCvmolar, dCvmolar_dT_analyt, dCvmolar_drho_analyt);
1098 CoolPropDbl dCvmass_dT_analyt, dCvmass_drho_analyt;
1099 CoolProp::get_dT_drho(*Water, CoolProp::iCvmass, dCvmass_dT_analyt, dCvmass_drho_analyt);
1100 // Isobaric heat capacity
1101 CoolPropDbl dCpmolar_dT_analyt, dCpmolar_drho_analyt;
1102 CoolProp::get_dT_drho(*Water, CoolProp::iCpmolar, dCpmolar_dT_analyt, dCpmolar_drho_analyt);
1103 CoolPropDbl dCpmass_dT_analyt, dCpmass_drho_analyt;
1104 CoolProp::get_dT_drho(*Water, CoolProp::iCpmass, dCpmass_dT_analyt, dCpmass_drho_analyt);
1105 // Speed of sound
1106 CoolPropDbl dspeed_sound_dT_analyt, dspeed_sound_drho_analyt;
1107 CoolProp::get_dT_drho(*Water, CoolProp::ispeed_sound, dspeed_sound_dT_analyt, dspeed_sound_drho_analyt);
1108
1109 double eps = 1e-3;
1110
1111 CHECK(std::abs(dP_dT_analyt / dP_dT_num - 1) < eps);
1112 CHECK(std::abs(dP_drho_analyt / dP_drho_num - 1) < eps);
1113
1114 CHECK(std::abs(dHmolar_dT_analyt / dHmolar_dT_num - 1) < eps);
1115 CHECK(std::abs(dHmolar_drho_analyt / dHmolar_drho_num - 1) < eps);
1116 CHECK(std::abs(dHmass_dT_analyt / dHmass_dT_num - 1) < eps);
1117 CHECK(std::abs(dHmass_drho_analyt / dHmass_drho_num - 1) < eps);
1118
1119 CHECK(std::abs(dSmolar_dT_analyt / dSmolar_dT_num - 1) < eps);
1120 CHECK(std::abs(dSmolar_drho_analyt / dSmolar_drho_num - 1) < eps);
1121 CHECK(std::abs(dSmass_dT_analyt / dSmass_dT_num - 1) < eps);
1122 CHECK(std::abs(dSmass_drho_analyt / dSmass_drho_num - 1) < eps);
1123
1124 CHECK(std::abs(dUmolar_dT_analyt / dUmolar_dT_num - 1) < eps);
1125 CHECK(std::abs(dUmolar_drho_analyt / dUmolar_drho_num - 1) < eps);
1126 CHECK(std::abs(dUmass_dT_analyt / dUmass_dT_num - 1) < eps);
1127 CHECK(std::abs(dUmass_drho_analyt / dUmass_drho_num - 1) < eps);
1128
1129 CHECK(std::abs(dGmolar_dT_analyt / dGmolar_dT_num - 1) < eps);
1130 CHECK(std::abs(dGmolar_drho_analyt / dGmolar_drho_num - 1) < eps);
1131 CHECK(std::abs(dGmass_dT_analyt / dGmass_dT_num - 1) < eps);
1132 CHECK(std::abs(dGmass_drho_analyt / dGmass_drho_num - 1) < eps);
1133
1134 CHECK(std::abs(dCvmolar_dT_analyt / dCvmolar_dT_num - 1) < eps);
1135 CHECK(std::abs(dCvmolar_drho_analyt / dCvmolar_drho_num - 1) < eps);
1136 CHECK(std::abs(dCvmass_dT_analyt / dCvmass_dT_num - 1) < eps);
1137 CHECK(std::abs(dCvmass_drho_analyt / dCvmass_drho_num - 1) < eps);
1138
1139 CHECK(std::abs(dCpmolar_dT_analyt / dCpmolar_dT_num - 1) < eps);
1140 CHECK(std::abs(dCpmolar_drho_analyt / dCpmolar_drho_num - 1) < eps);
1141 CHECK(std::abs(dCpmass_dT_analyt / dCpmass_dT_num - 1) < eps);
1142 CHECK(std::abs(dCpmass_drho_analyt / dCpmass_drho_num - 1) < eps);
1143
1144 CHECK(std::abs(dspeed_sound_dT_analyt / dspeed_sound_dT_num - 1) < eps);
1145 CHECK(std::abs(dspeed_sound_drho_analyt / dspeed_sound_drho_num - 1) < eps);
1146}
1147
1148#endif
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