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analyticalSolutions.h
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1#ifndef ANALYTICALSOLUTIONS_H
2#define ANALYTICALSOLUTIONS_H
9#include <math.h>
10#include <stdio.h>
11#include <stdlib.h>
12
13#ifndef max
14#define max(a,b) (((a)>(b))?(a):(b))
15#endif
16static const double PI = 3.1415926535897932384;
17
18extern int PlaneCouetteFlow_u(
19 int *iwork,
20 double *rwork,
21 int nPoints,
22 double t,
23 double *x,
24 double *u
25);
26extern int diffusionSin1D(
27 int *iwork,
28 double *rwork,
29 int nPoints,
30 double t,
31 double *x,
32 double *u
33);
34extern int diffusionSin2D(
35 int *iwork,
36 double *rwork,
37 int nPoints,
38 double t,
39 double *x,
40 double *u
41);
42extern int diffusionSin3D(
43 int *iwork,
44 double *rwork,
45 int nPoints,
46 double t,
47 double *x,
48 double *u
49);
50extern int diffusionSin1D_r(
51 int *iwork,
52 double *rwork,
53 int nPoints,
54 double t,
55 double *x,
56 double *u,
57 double *r
58);
59extern int diffusionSin2D_r(
60 int *iwork,
61 double *rwork,
62 int nPoints,
63 double t,
64 double *x,
65 double *u,
66 double *r
67);
68extern int diffusionSin3D_r(
69 int *iwork,
70 double *rwork,
71 int nPoints,
72 double t,
73 double *x,
74 double *u,
75 double *r
76);
77extern int LinearAD_DiracIC(
78 int *iwork,
79 double *rwork,
80 int nPoints,
81 double T,
82 double *x,
83 double *u
84);
85extern int LinearAD_DiracIC_advectiveVelocity(
86 int *iwork,
87 double *rwork,
88 int nPoints,
89 double T,
90 double *x,
91 double *f
92);
93extern int LinearAD_DiracIC_diffusiveVelocity(
94 int *iwork,
95 double *rwork,
96 int nPoints,
97 double T,
98 double *x,
99 double *f
100);
101extern int LinearAD_DiracIC_du(
102 int *iwork,
103 double *rwork,
104 int nPoints,
105 double T,
106 double *x,
107 double *f
108);
109extern int LinearAD_DiracIC_totalVelocity(
110 int *iwork,
111 double *rwork,
112 int nPoints,
113 double T,
114 double *x,
115 double *f
116);
117extern int LinearAD_SteadyState(
118 int *iwork,
119 double *rwork,
120 int nPoints,
121 double t,
122 double *X,
123 double *u
124);
125extern int LinearADR_Decay_DiracIC(
126 int *iwork,
127 double *rwork,
128 int nPoints,
129 double T,
130 double *x,
131 double *u
132);
133extern int LinearADR_Decay_DiracIC_dr(
134 int *iwork,
135 double *rwork,
136 int nPoints,
137 double T,
138 double *x,
139 double *u,
140 double *dr
141);
142extern int LinearADR_Decay_DiracIC_r(
143 int *iwork,
144 double *rwork,
145 int nPoints,
146 double T,
147 double *x,
148 double *u,
149 double *r
150);
151extern int LinearADR_Sine(
152 int *iwork,
153 double *rwork,
154 int nPoints,
155 double t,
156 double *x,
157 double *u
158);
159extern int LinearADR_Sine_advectiveVelocity(
160 int *iwork,
161 double *rwork,
162 int nPoints,
163 double t,
164 double *x,
165 double *f
166);
167extern int LinearADR_Sine_diffusiveVelocity(
168 int *iwork,
169 double *rwork,
170 int nPoints,
171 double t,
172 double *x,
173 double *f
174);
175extern int LinearADR_Sine_dr(
176 int *iwork,
177 double *rwork,
178 int nPoints,
179 double t,
180 double *x,
181 double *u,
182 double *dr
183);
184extern int LinearADR_Sine_du(
185 int *iwork,
186 double *rwork,
187 int nPoints,
188 double t,
189 double *x,
190 double *f
191);
192extern int LinearADR_Sine_r(
193 int *iwork,
194 double *rwork,
195 int nPoints,
196 double t,
197 double *x,
198 double *u,
199 double *r
200);
201extern int LinearADR_Sine_totalVelocity(
202 int *iwork,
203 double *rwork,
204 int nPoints,
205 double t,
206 double *x,
207 double *f
208);
209extern int NonlinearAD_SteadyState(
210 int *iwork,
211 double *rwork,
212 int nPoints,
213 double t,
214 double *X,
215 double *u
216);
217extern int NonlinearADR_Decay_DiracIC(
218 int *iwork,
219 double *rwork,
220 int nPoints,
221 double T,
222 double *x,
223 double *u
224);
225extern int NonlinearADR_Decay_DiracIC_dr(
226 int *iwork,
227 double *rwork,
228 int nPoints,
229 double T,
230 double *x,
231 double *u,
232 double *dr
233);
234extern int NonlinearADR_Decay_DiracIC_r(
235 int *iwork,
236 double *rwork,
237 int nPoints,
238 double T,
239 double *x,
240 double *u,
241 double *r
242);
243extern int NonlinearDAE(
244 int *iwork,
245 double *rwork,
246 int nPoints,
247 double T,
248 double *x,
249 double *u
250);
251extern int NonlinearDAE_f(
252 int *iwork,
253 double *rwork,
254 int nPoints,
255 double t,
256 double *x,
257 double *f
258);
259extern int PlanePoiseuilleFlow_u(
260 int *iwork,
261 double *rwork,
262 int nPoints,
263 double t,
264 double *x,
265 double *u
266);
267extern int PoiseuillePipeFlow(
268 int *iwork,
269 double *rwork,
270 int nPoints,
271 double t,
272 double *x,
273 double *u
274);
275extern int PoiseuillePipeFlow_P(
276 int *iwork,
277 double *rwork,
278 int nPoints,
279 double t,
280 double *x,
281 double *u
282);
283extern int poissonsEquationExp1D(
284 int *iwork,
285 double *rwork,
286 int nPoints,
287 double t,
288 double *X,
289 double *u
290);
291extern int poissonsEquationExp2D(
292 int *iwork,
293 double *rwork,
294 int nPoints,
295 double t,
296 double *X,
297 double *u
298);
299extern int poissonsEquationExp3D(
300 int *iwork,
301 double *rwork,
302 int nPoints,
303 double t,
304 double *X,
305 double *u
306);
307extern int poissonsEquationExp3D_dr(
308 int *iwork,
309 double *rwork,
310 int nPoints,
311 double t,
312 double *X,
313 double *u,
314 double *dr
315);
316extern int poissonsEquationExp1D_r(
317 int *iwork,
318 double *rwork,
319 int nPoints,
320 double t,
321 double *X,
322 double *u,
323 double *r
324);
325extern int poissonsEquationExp2D_r(
326 int *iwork,
327 double *rwork,
328 int nPoints,
329 double t,
330 double *X,
331 double *u,
332 double *r
333);
334extern int poissonsEquationExp3D_r(
335 int *iwork,
336 double *rwork,
337 int nPoints,
338 double t,
339 double *X,
340 double *u,
341 double *r
342);
343extern int STflowSphere_P(
344 int *iwork,
345 double *rwork,
346 int nPoints,
347 double t,
348 double *x,
349 double *u
350);
351extern int STflowSphere_Vx(
352 int *iwork,
353 double *rwork,
354 int nPoints,
355 double t,
356 double *x,
357 double *u
358);
359extern int STflowSphere_Vy(
360 int *iwork,
361 double *rwork,
362 int nPoints,
363 double t,
364 double *x,
365 double *u
366);
367extern int STflowSphere_Vz(
368 int *iwork,
369 double *rwork,
370 int nPoints,
371 double t,
372 double *x,
373 double *u
374);
375extern void coords(
376 double vx,
377 double vy,
378 double vz,
379 double xS,
380 double yS,
381 double zS,
382 double *x,
383 double *r,
384 double *theta,
385 double *norm_v,
386 double *eR,
387 double *eTHETA
388);
389extern void vel(
390 double rS,
391 double norm_v,
392 double r,
393 double theta,
394 double *vR,
395 double *vTHETA
396);
397extern double uOfX_df(
398 double nlC,
399 double lu
400);
401extern double uOfX_f(
402 double a,
403 double b,
404 double nlC,
405 double nlD,
406 double x,
407 double lu
408);
409extern double f(
410 double C,
411 double b,
412 double a,
413 int q,
414 int r
415);
416extern double df(
417 double C,
418 double b,
419 double a,
420 int q,
421 int r
422);
424#endif
q
Double q
Definition Headers.h:81
T
Double T
Definition Headers.h:87
r
Double r
Definition Headers.h:83
f
Double f
Definition Headers.h:64
u
Double u
Definition Headers.h:89
vy
Double vy
Definition Headers.h:98
vx
Double vx
Definition Headers.h:97
LinearAD_DiracIC_diffusiveVelocity
int LinearAD_DiracIC_diffusiveVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(diffusive velocity).
Definition analyticalSolutions.c:381
LinearADR_Sine_totalVelocity
int LinearADR_Sine_totalVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (total velocity).
Definition analyticalSolutions.c:997
poissonsEquationExp2D
int poissonsEquationExp2D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 2D.
Definition analyticalSolutions.c:1659
PlanePoiseuilleFlow_u
int PlanePoiseuilleFlow_u(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow between two parallel fixed plates with constant seperation (width).
Definition analyticalSolutions.c:1380
poissonsEquationExp2D_r
int poissonsEquationExp2D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 2D (reaction).
Definition analyticalSolutions.c:1787
NonlinearDAE_f
int NonlinearDAE_f(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Nonlinear Differential-algebraic equations.
Definition analyticalSolutions.c:1330
NonlinearDAE
int NonlinearDAE(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Nonlinear Differential-algebraic equations.
Definition analyticalSolutions.c:1287
poissonsEquationExp3D_r
int poissonsEquationExp3D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 3D (reaction).
Definition analyticalSolutions.c:1822
NonlinearAD_SteadyState
int NonlinearAD_SteadyState(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Nonlinear Advection-Diffusion Steady State.
Definition analyticalSolutions.c:1036
diffusionSin2D
int diffusionSin2D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 2D diffusion.
Definition analyticalSolutions.c:111
PoiseuillePipeFlow_P
int PoiseuillePipeFlow_P(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow through a circular pipe.
Definition analyticalSolutions.c:1554
LinearADR_Sine_du
int LinearADR_Sine_du(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (du).
Definition analyticalSolutions.c:890
NonlinearADR_Decay_DiracIC
int NonlinearADR_Decay_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition.
Definition analyticalSolutions.c:1164
LinearADR_Sine_dr
int LinearADR_Sine_dr(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *dr)
Linear Avection Diffusion Reaction Sine function (dr).
Definition analyticalSolutions.c:851
LinearADR_Sine
int LinearADR_Sine(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Linear Avection Diffusion Reaction Sine function.
Definition analyticalSolutions.c:691
LinearAD_DiracIC_du
int LinearAD_DiracIC_du(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition (du).
Definition analyticalSolutions.c:423
df
double df(double C, double b, double a, int q, int r)
Definition analyticalSolutions.c:2209
diffusionSin3D
int diffusionSin3D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 3D diffusion.
Definition analyticalSolutions.c:141
LinearADR_Sine_diffusiveVelocity
int LinearADR_Sine_diffusiveVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (diffusive velocity).
Definition analyticalSolutions.c:802
poissonsEquationExp1D
int poissonsEquationExp1D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 1D.
Definition analyticalSolutions.c:1620
STflowSphere_Vz
int STflowSphere_Vz(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition analyticalSolutions.c:2055
diffusionSin3D_r
int diffusionSin3D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 3D diffusion (reaction).
Definition analyticalSolutions.c:231
STflowSphere_Vy
int STflowSphere_Vy(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition analyticalSolutions.c:1992
uOfX_f
double uOfX_f(double a, double b, double nlC, double nlD, double x, double lu)
Definition analyticalSolutions.c:2181
LinearADR_Decay_DiracIC_dr
int LinearADR_Decay_DiracIC_dr(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *dr)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition (dr).
Definition analyticalSolutions.c:613
LinearAD_DiracIC
int LinearAD_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Linear Advective Diffusion Dirac Initial Condition.
Definition analyticalSolutions.c:273
diffusionSin2D_r
int diffusionSin2D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 2D diffusion (reaction).
Definition analyticalSolutions.c:200
diffusionSin1D_r
int diffusionSin1D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 1D diffusion (reaction).
Definition analyticalSolutions.c:172
LinearAD_SteadyState
int LinearAD_SteadyState(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Linear Advection-Diffusion Steady State.
Definition analyticalSolutions.c:508
uOfX_df
double uOfX_df(double nlC, double lu)
Definition analyticalSolutions.c:2177
LinearADR_Decay_DiracIC_r
int LinearADR_Decay_DiracIC_r(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *r)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition (reaction).
Definition analyticalSolutions.c:652
LinearAD_DiracIC_totalVelocity
int LinearAD_DiracIC_totalVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(total velocity).
Definition analyticalSolutions.c:471
diffusionSin1D
int diffusionSin1D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 1D diffusion.
Definition analyticalSolutions.c:84
STflowSphere_P
int STflowSphere_P(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition analyticalSolutions.c:1864
NonlinearADR_Decay_DiracIC_dr
int NonlinearADR_Decay_DiracIC_dr(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *dr)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition (dr).
Definition analyticalSolutions.c:1216
vel
void vel(double rS, double norm_v, double r, double theta, double *vR, double *vTHETA)
Definition analyticalSolutions.c:2163
STflowSphere_Vx
int STflowSphere_Vx(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition analyticalSolutions.c:1929
poissonsEquationExp3D_dr
int poissonsEquationExp3D_dr(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *dr)
Poisson Exponential Equation 3D (dr).
Definition analyticalSolutions.c:1724
PlaneCouetteFlow_u
int PlaneCouetteFlow_u(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Couette Flow between two parallel plates. One moving relative to the other with constant seperation (...
Definition analyticalSolutions.c:36
NonlinearADR_Decay_DiracIC_r
int NonlinearADR_Decay_DiracIC_r(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *r)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition (reaction).
Definition analyticalSolutions.c:1257
LinearADR_Sine_advectiveVelocity
int LinearADR_Sine_advectiveVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (advective velocity).
Definition analyticalSolutions.c:749
LinearADR_Decay_DiracIC
int LinearADR_Decay_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition.
Definition analyticalSolutions.c:566
coords
void coords(double vx, double vy, double vz, double xS, double yS, double zS, double *x, double *r, double *theta, double *norm_v, double *eR, double *eTHETA)
Definition analyticalSolutions.c:2093
PoiseuillePipeFlow
int PoiseuillePipeFlow(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow through a circular pipe.
Definition analyticalSolutions.c:1466
LinearAD_DiracIC_advectiveVelocity
int LinearAD_DiracIC_advectiveVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(advective velocity).
Definition analyticalSolutions.c:337
poissonsEquationExp1D_r
int poissonsEquationExp1D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 1D (reaction).
Definition analyticalSolutions.c:1754
LinearADR_Sine_r
int LinearADR_Sine_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Linear Avection Diffusion Reaction Sine function (reaction).
Definition analyticalSolutions.c:938
poissonsEquationExp3D
int poissonsEquationExp3D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 3D.
Definition analyticalSolutions.c:1690
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