-
Notifications
You must be signed in to change notification settings - Fork 0
/
D2Q4.cpp
215 lines (209 loc) · 6.93 KB
/
D2Q4.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
#include "D1Q3.h"
#include "D2Q4.h"
//constructor with arguments
D2Q4::D2Q4(const Material& m, const solverSettings& ss, bc& lbc, bc& rbc, bc& tbc, bc& bbc)//default Material created if not supplied
:endTime(ss.endTime),
Nx(ss.Nx),
Ny(ss.Ny),
k(m.k),
alpha(m.alpha),
lbc(lbc),
rbc(rbc),
tbc(tbc),
bbc(bbc),
x(new double[Nx]),
y(new double[Ny]),
T(new double_ptr_1D[Nx]),
f1(new double_ptr_1D[Nx]),
f2(new double_ptr_1D[Nx]),
f3(new double_ptr_1D[Nx]),
f4(new double_ptr_1D[Nx])
{
for(size_t i=0;i<Nx;i++){
T[i] = double_ptr_1D(new double[Ny]);
f1[i] = double_ptr_1D(new double[Ny]);
f2[i] = double_ptr_1D(new double[Ny]);
f3[i] = double_ptr_1D(new double[Ny]);
f4[i] = double_ptr_1D(new double[Ny]);
}
omega = 1.0 / (alpha / (dt*cs2) + 0.5);//Eqn 5.27
oneMinusOmega = 1.0 - omega;
for (int i = 0; i < Nx - 1; i++) {
x[i + 1] = x[i] + dx;
}
for (int i = 0; i < Ny - 1; i++) {
y[i + 1] = y[i] + dy;
}
};
void D2Q4::initialize(double initialTemperature=0){
for (int j = 0; j < Ny; j++){
for (int i = 0; i < Nx; i++){
T[i][j] = initialTemperature;
}
}
if(exists("T")) remove("T");
if(exists("geom")) remove("geom");
ofstream geomFile;
geomFile.open("geom");
geomFile<<1<<"\t"<<dt<<"\t"<<1.0<<"\t"<<1.0<<"\t"<<Nx<<"\t"<<Ny<<"\t"<<endTime;
geomFile.close();
}
void D2Q4::collide(){
double source = uniformHeatSource*alpha/k;
double feq;
for (int j = 0; j < Ny; j++){
for (int i = 0; i < Nx; i++){
//cout<<"i = "<<i<<", j = "<<j<<", T[0][0] = "<<T[0][0]<<endl;
feq = T[i][j]*w0;//All weights = w0 = 0.25
f1[i][j] = oneMinusOmega*f1[i][j] + omega*feq + source*w0;//Eqn 5.21
f2[i][j] = oneMinusOmega*f2[i][j] + omega*feq + source*w0;
f3[i][j] = oneMinusOmega*f3[i][j] + omega*feq + source*w0;
f4[i][j] = oneMinusOmega*f4[i][j] + omega*feq + source*w0;
}
}
}
void D2Q4::stream(){
for (int j = 0; j < Ny; j++){
for (int i = 1; i < Nx; i++){
f1[Nx - i][j] = f1[Nx - i-1][j];//f1: towards +ve x direction
f2[i - 1][j] = f2[i][j];//f2: towards -ve x direction
}
}
for (int i = 0; i < Nx; i++){
for (int j = 1; j < Ny; j++){
f3[i][Ny - j] = f3[i][Ny - j -1];//f3: towards +ve y direction
f4[i][j - 1] = f4[i][j];//f4: towards -ve y direction
}
}
}
void D2Q4::applyBc(){
//left boundary
if(lbc.type==0){//Dirichlet. T(0)=TLeft
double TLeft = lbc.val1;
for (int j = 0; j < Ny; j++){
f1[0][j] = TLeft - (f2[0][j]+f3[0][j]+f4[0][j]);//5.86 on page #73
}
}
if(lbc.type==1){//Neumann
if(lbc.val1==0){// Adiabatic boundary condition, zero flux condition at left boundary
for (int j = 0; j < Ny; j++){
f1[0][j] = f1[1][j];//next line to 5.89 on page #73
f2[0][j] = f2[1][j];
f3[0][j] = f3[1][j];
f4[0][j] = f4[1][j];
}
}
else{
double q = lbc.val1;
for (int j = 0; j < Ny; j++){
f1[0][j] = (f1[1][j]+f2[1][j]+f3[1][j]+f4[1][j]) + q/k - (f2[0][j]+f3[0][j]+f4[0][j]);//next line to 5.92.5.93
}
}
}
//right boundary
if(rbc.type==0){//Dirichlet. T[Nx-1][j]=TRight
double TRight = rbc.val1;
for (int j = 0; j < Ny; j++){
f2[Nx-1][j] = TRight - (f1[Nx-1][j]+f3[Nx-1][j]+f4[Nx-1][j]);//5.86 on page #73
}
}
if(rbc.type==1){//Neumann
if(rbc.val1==0){// Adiabatic boundary condition, zero flux condition at right boundary
for (int j = 0; j < Ny; j++){
f1[Nx-1][j] = f1[Nx-2][j];//next line to 5.89 on page #73
f2[Nx-1][j] = f2[Nx-2][j];
f3[Nx-1][j] = f3[Nx-2][j];
f4[Nx-1][j] = f4[Nx-2][j];
}
}
else{
double q = rbc.val1;
for (int j = 0; j < Ny; j++){
f2[Nx-1][j] = (f1[Nx-2][j]+f2[Nx-2][j]+f3[Nx-2][j]+f4[Nx-2][j]) + q/k - (f1[Nx-1][j]+f3[Nx-1][j]+f4[Nx-1][j]);//next line to 5.92.5.93
}
}
}
//bottom boundary
if(bbc.type==0){//Dirichlet. T[i][0]=TBottom
double TBottom = bbc.val1;
for (int i = 0; i < Nx; i++){
f3[i][0] = TBottom - (f1[i][0]+f2[i][0]+f4[i][0]);//5.86 on page #73
}
}
if(bbc.type==1){//Neumann
if(bbc.val1==0){// Adiabatic boundary condition, zero flux condition at bottom boundary
for (int i = 0; i < Nx; i++){
f1[i][0] = f1[i][1];//next line to 5.89 on page #73
f2[i][0] = f2[i][1];
f3[i][0] = f3[i][1];
f4[i][0] = f4[i][1];
}
}
else{
double q = bbc.val1;
for (int i = 0; i < Nx; i++){
f3[i][0] = (f1[i][1]+f2[i][1]+f3[i][1]+f4[i][1]) + q/k - (f1[i][0]+f2[i][0]+f4[i][0]);//next line to 5.92.5.93
}
}
}
//top boundary
if(tbc.type==0){//Dirichlet. T[i][0]=TTop
double TTop = tbc.val1;
for (int i = 0; i < Nx; i++){
f4[i][Ny-1] = TTop - (f1[i][Ny-1]+f2[i][Ny-1]+f3[i][Ny-1]);//5.86 on page #73
}
}
if(tbc.type==1){//Neumann
if(tbc.val1==0){// Adiabatic boundary condition, zero flux condition at bottom boundary
for (int i = 0; i < Nx; i++){
f1[i][Ny-1] = f1[i][Ny-2];//next line to 5.89 on page #73
f2[i][Ny-1] = f2[i][Ny-2];
f3[i][Ny-1] = f3[i][Ny-2];
f4[i][Ny-1] = f4[i][Ny-2];
}
}
else{
double q = tbc.val1;
for (int i = 0; i < Nx; i++){
f4[i][Ny-1] = (f1[i][Ny-2]+f2[i][Ny-2]+f3[i][Ny-2]+f4[i][Ny-2]) + q/k - (f1[i][Ny-1]+f2[i][Ny-1]+f3[i][Ny-1]);//next line to 5.92.5.93
}
}
}
}
void D2Q4::calculateT(){
for (int j = 0; j < Ny; j++){
for (int i = 0; i < Nx; i++)
{
T[i][j] = f1[i][j] + f2[i][j] + f3[i][j] + f4[i][j];
}
}
}
void D2Q4::solve(){
for (int time = 0; time < endTime; time++)
{
collide();
stream();
applyBc();
calculateT();
write();
}
}
void D2Q4::write(){
std::ofstream outFile;
//if(exists("T")) remove("T");
outFile.open("T",ios::app);
for (int j = 0; j < Ny; j++){
for (int i = 0; i < Nx; i++)
{
//outFile << x[i] << "," << y[j] << "," << T[i][j] << endl;
outFile << T[i][j];
if(i!=Nx-1) outFile<<",";
}
outFile<< endl;
}
outFile.close();
//system("./test.sh");
}
void D2Q4::animate(){
system("python3 animate.py");
}