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Unit1.cpp
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Unit1.cpp
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//---------------------------------------------------------------------------
#include <vcl.h>
#pragma hdrstop
#include "Unit1.h"
#include <cmath>
#include <vector>
//#include "shared.h"
//---------------------------------------------------------------------------
#pragma package(smart_init)
#pragma link "VCLTee.TeeSurfa"
#pragma link "VCLTee.TeeSurfa"
#pragma resource "*.dfm"
TForm1 *Form1;
bool stop=true;
const double _dx = .05, _dy = .05, _dt = _dx / 10.; //, _dt;
size_t N_x = 300;
size_t N_y = 60;
std::vector<std::vector<double> > psi(N_x, std::vector<double>(N_y));
std::vector<std::vector<double> > tet(N_x, std::vector<double>(N_y));
std::vector<std::vector<double> > e(N_x, std::vector<double>(N_y));
std::vector<std::vector<double> > u(N_x, std::vector<double>(N_y));
std::vector<std::vector<double> > v(N_x, std::vector<double>(N_y));
double Re = 100.;
double Ri = 10.;
const double Pe = Re;
double w = 2. / (1 + sin(M_PI * (_dx + _dy) / 2.));
const size_t iter_MAX = 5000;
const double eps = 1e-2;
size_t iter_count = 0;
size_t iter_best = iter_MAX;
double E = 0;
double q = pow(_dx / _dy, 2);
double w_best = 0;
double w_step = 15e-3;
size_t new_tet = 0;
// íà÷àëüíûå
const double _p0 = 10., _x0 = _dx * N_x / 2., _r0 = .06;
// shared::randomize();
size_t ct = 1;
void start()
{
for (size_t i = 0; i < N_x; i++)
{
for (size_t j = 0; j < N_y; j++)
{
psi[i][j] = 0;
tet[i][j] = 0;
e[i][j] = 0;
u[i][j] = 0;
v[i][j] = 0;
}
}
for (size_t i = 0; i < N_x; i++)
{
tet[i][0] = (double)rand() / RAND_MAX;
}
}
//---------------------------------------------------------------------------
__fastcall TForm1::TForm1(TComponent* Owner)
: TForm(Owner)
{
}
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
void __fastcall TForm1::StartClick(TObject *Sender)
{
if (stop)
{
stop = false;
Start->Caption = "Stop";
}
else
{
stop = true;
Start->Caption = "Continue";
}
while (!stop) {
ct++;
{ // àäâåêöèÿ äèôôóçèÿ ñõåìà ïðîòèâ ïîòîêà e
for (size_t i = 1; i < N_x - 1; i++) {
for (size_t j = 1; j < N_y - 1; j++) {
unsigned a = 1, b = 1;
if (u[i][j] > 0) {
a = 0;
}
if (v[i][j] > 0) {
b = 0;
}
e[i][j] =
e[i][j] -
_dt / _dx * u[i][j] * (1 - a) *
(e[i][j] - e[i - 1][j]) -
_dt / _dx * a * u[i][j] * (e[i + 1][j] - e[i][j]) -
_dt / _dy * v[i][j] * (1 - b) *
(e[i][j] - e[i][j - 1]) -
_dt / _dy * b * v[i][j] * (e[i][j + 1] - e[i][j]) +
_dt / Re *
((e[i + 1][j] - 2. * e[i][j] + e[i - 1][j]) / _dx /
_dx +
(e[i][j + 1] - 2. * e[i][j] + e[i][j - 1]) /
_dy / _dy) -
Ri * _dt / 2. / _dx * (tet[i + 1][j] - tet[i - 1][j]);
}
}
// êðàÿ
for (size_t j = 1; j < N_y - 1; j++) {
unsigned a = 1, b = 1;
if (u[0][j] > 0) {
a = 0;
}
if (v[0][j] > 0) {
b = 0;
}
e[0][j] =
e[0][j] -
_dt / _dx * u[0][j] * (1 - a) * (e[0][j] - e[N_x - 2][j]) -
_dt / _dx * a * u[0][j] * (e[0 + 1][j] - e[0][j]) -
_dt / _dy * v[0][j] * (1 - b) * (e[0][j] - e[0][j - 1]) -
_dt / _dy * b * v[0][j] * (e[0][j + 1] - e[0][j]) +
_dt / Re *
((e[0 + 1][j] - 2. * e[0][j] + e[N_x - 2][j]) / _dx /
_dx +
(e[0][j + 1] - 2. * e[0][j] + e[0][j - 1]) / _dy /
_dy) -
Ri * _dt / 2. / _dx * (tet[0 + 1][j] - tet[N_x - 2][j]);
}
for (size_t j = 1; j < N_y - 1; j++) {
e[N_x - 1][j] = e[0][j];
}
}
{ // àäâåêöèÿ äèôôóçèÿ ñõåìà ïðîòèâ ïîòîêà tet
for (size_t i = 1; i < N_x - 1; i++) {
for (size_t j = 1; j < N_y - 1; j++) {
unsigned a = 1, b = 1;
if (u[i][j] > 0) {
a = 0;
}
if (v[i][j] > 0) {
b = 0;
}
tet[i][j] =
tet[i][j] -
_dt / _dx * u[i][j] * (1 - a) *
(tet[i][j] - tet[i - 1][j]) -
_dt / _dx * a * u[i][j] * (tet[i + 1][j] - tet[i][j]) -
_dt / _dy * v[i][j] * (1 - b) *
(tet[i][j] - tet[i][j - 1]) -
_dt / _dy * b * v[i][j] * (tet[i][j + 1] - tet[i][j]) +
_dt / Pe *
((tet[i + 1][j] - 2. * tet[i][j] + tet[i - 1][j]) /
_dx / _dx +
(tet[i][j + 1] - 2. * tet[i][j] +
tet[i][j - 1]) /
_dy / _dy);
}
}
// êðàÿ
for (size_t j = 1; j < N_y - 1; j++) {
unsigned a = 1, b = 1;
if (u[0][j] > 0) {
a = 0;
}
if (v[0][j] > 0) {
b = 0;
}
tet[0][j] =
tet[0][j] -
_dt / _dx * u[0][j] * (1 - a) *
(tet[0][j] - tet[N_x - 2][j]) -
_dt / _dx * a * u[0][j] * (tet[0 + 1][j] - tet[0][j]) -
_dt / _dy * v[0][j] * (1 - b) *
(tet[0][j] - tet[0][j - 1]) -
_dt / _dy * b * v[0][j] * (tet[0][j + 1] - tet[0][j]) +
_dt / Pe *
((tet[0 + 1][j] - 2. * tet[0][j] + tet[N_x - 2][j]) /
_dx / _dx +
(tet[0][j + 1] - 2. * tet[0][j] + tet[0][j - 1]) /
_dy / _dy);
}
for (size_t j = 1; j < N_y - 1; j++) {
tet[N_x - 1][j] = tet[0][j];
}
}
{ //ýëèïòè÷åñêîå
iter_count = 0;
do {
E = 0;
for (size_t i = 1; i < N_x - 1; i++) {
for (size_t j = 1; j < N_y - 1; j++) {
double prev = psi[i][j];
psi[i][j] = (psi[i + 1][j] + psi[i - 1][j] +
q * (psi[i][j + 1] + psi[i][j - 1])) /
((double)(2. + 2. * q)) -
_dx * _dx / (2. + 2. * q) * e[i][j];
psi[i][j] = prev + w * (psi[i][j] - prev);
double er = abs(prev - psi[i][j]);
if (E < er) {
E = er;
}
}
}
iter_count++;
} while (eps < E && iter_count < iter_best);
if (iter_count < iter_best) {
iter_best = iter_count;
} else {
iter_best = iter_MAX;
w += w_step;
if (w > 1.9) {
w = 1;
}
}
// äëÿ êðàåâ
size_t iter_count2 = 0;
do {
E = 0;
for (size_t j = 1; j < N_y - 1; j++) {
double prev = psi[0][j];
psi[0][j] = (psi[1][j] + psi[N_y - 2][j] +
q * (psi[0][j + 1] + psi[0][j - 1])) /
((double)(2. + 2. * q)) -
_dx * _dx / (2. + 2. * q) * e[0][j];
psi[0][j] = prev + w * (psi[0][j] - prev);
double er = abs(prev - psi[0][j]);
if (E < er) {
E = er;
}
}
iter_count2++;
} while (eps < E && iter_count2 < iter_MAX);
for (size_t j = 1; j < N_y - 1; j++) {
psi[N_x - 1][j] = psi[0][j];
}
}
{ // ïåðåñ÷åò ïîëÿ ñêîðîñòåé
for (size_t i = 0; i < N_x; i++) {
for (size_t j = 1; j < N_y - 1; j++) {
u[i][j] = (psi[i][j + 1] - psi[i][j - 1]) / 2. / _dy;
}
}
for (size_t i = 1; i < N_x - 1; i++) {
for (size_t j = 0; j < N_y; j++) {
v[i][j] = -1 * (psi[i + 1][j] - psi[i - 1][j]) / 2. / _dx;
}
}
for (size_t j = 0; j < N_y; j++) {
v[0][j] = -1 * (psi[1][j] - psi[N_x - 2][j]) / 2. / _dx;
v[N_x - 1][j] = v[0][j];
}
}
{ // ïåðåñ÷åò
{ // ñòåíà, òâåðäàÿ ãðàíèöà
for (size_t i = 0; i < N_x; i++) {
tet[i][N_y - 1] = tet[i][N_y - 2] * 0.7;
u[i][N_y - 1] = 0;
u[i][0] = 0;
v[i][N_y - 1] = 0;
v[i][0] = 0;
psi[i][N_y - 1] = 0;
psi[i][0] = 0;
e[i][N_y - 1] = 2. * (psi[i][N_y - 2]) / _dy / _dy;
e[i][0] = 2. * (psi[i][1]) / _dy / _dy;
}
};
}
{ // âûâîä
Form1->Series1->Clear();
for (size_t i = 0; i < N_x; i++) {
for (size_t j = 0; j < N_y; j++) {
Form1->Series1->AddXYZ(i, tet[i][j], j);
}
}
Form1->Caption =
"Re" + FloatToStr(Re) + " | Ri" + FloatToStr(Ri) + " | Pe" +
FloatToStr(Pe) + " | t:" + FloatToStr(ct);
Form1->Chart1->Repaint();
Application->ProcessMessages();
}
}
}
//---------------------------------------------------------------------------
void __fastcall TForm1::Button2Click(TObject *Sender)
{
ct=1;
Re = StrToFloat(LabeledEdit1->Text);
Ri = StrToFloat(LabeledEdit2->Text);
start();
stop = true;
Start->Caption = "Start";
}
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------