void Particles::assign_location_TRI3(Grid& grid, int Cell_ID)
{
int num_try = 0;
double Xm[DIM];
bool is_inside = false;
while (is_inside == false && num_try < 1000)
{
for (int d = 0; d <= DIM-1; d++) Xm[d] = double(ranf());
if (Xm[0] < 1.0 && Xm[1] < 1.0 && (Xm[0] + Xm[1]) < 1.0) is_inside = true;
num_try++;
}
double psi1 = 1 - Xm[0] - Xm[1];
double psi2 = Xm[0];
double psi3 = Xm[1];
X[0] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[0]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[0]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[0]*psi3;
X[1] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[1]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[1]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[1]*psi3;
}
void Particles::assign_location(Grid& grid, int Cell_ID)
{
switch (grid.CELL(Cell_ID).type)
{
case TRI3:
assign_location_TRI3(grid, Cell_ID);
break;
case QUAD4:
assign_location_QUAD4(grid, Cell_ID);
break;
case TETRA4:
assign_location_TETRA4(grid, Cell_ID);
break;
case HEXA8:
assign_location_HEXA8(grid, Cell_ID);
break;
case PRISM6:
assign_location_PRISM6(grid, Cell_ID);
break;
}
}
void Particles::assign_location_QUAD4(Grid& grid, int Cell_ID)
{
double Xm[DIM];
for (int d = 0; d <= DIM-1; d++) Xm[d] = double(ranf_range(-1.0, 1.0));
double psi1 = 0.25 * (1-Xm[0]) * (1-Xm[1]);
double psi2 = 0.25 * (1+Xm[0]) * (1-Xm[1]);
double psi3 = 0.25 * (1+Xm[0]) * (1+Xm[1]);
double psi4 = 0.25 * (1-Xm[0]) * (1+Xm[1]);
X[0] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[0]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[0]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[0]*psi3
+ grid.NODE(grid.CELL(Cell_ID).nodes[3]).x[0]*psi4;
X[1] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[1]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[1]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[1]*psi3
+ grid.NODE(grid.CELL(Cell_ID).nodes[3]).x[1]*psi4;
}
void Particles::assign_location_PRISM6(Grid& grid, int Cell_ID)
{
double Xm[3];
for (int d = 0; d <= 2; d++) Xm[d] = double(ranf_range(-1.0, 1.0));
double aux = 1.0 / 8.0;
double psi1 = aux * (1-Xm[0]) * (1-Xm[1]) * (1-Xm[2]);
double psi2 = aux * (1+Xm[0]) * (1-Xm[1]) * (1-Xm[2]);
double psi3 = aux * (1+Xm[0]) * (1+Xm[1]) * (1-Xm[2]);
double psi4 = aux * (1-Xm[0]) * (1+Xm[1]) * (1-Xm[2]);
double psi5 = aux * (1-Xm[0]) * (1-Xm[1]) * (1+Xm[2]);
double psi6 = aux * (1+Xm[0]) * (1-Xm[1]) * (1+Xm[2]);
double psi7 = aux * (1+Xm[0]) * (1+Xm[1]) * (1+Xm[2]);
double psi8 = aux * (1-Xm[0]) * (1+Xm[1]) * (1+Xm[2]);
X[0] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[0]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[0]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[0]*psi3
+ grid.NODE(grid.CELL(Cell_ID).nodes[3]).x[0]*psi4
+ grid.NODE(grid.CELL(Cell_ID).nodes[4]).x[0]*psi5
+ grid.NODE(grid.CELL(Cell_ID).nodes[5]).x[0]*psi6
+ grid.NODE(grid.CELL(Cell_ID).nodes[6]).x[0]*psi7
+ grid.NODE(grid.CELL(Cell_ID).nodes[7]).x[0]*psi8;
X[1] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[1]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[1]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[1]*psi3
+ grid.NODE(grid.CELL(Cell_ID).nodes[3]).x[1]*psi4
+ grid.NODE(grid.CELL(Cell_ID).nodes[4]).x[1]*psi5
+ grid.NODE(grid.CELL(Cell_ID).nodes[5]).x[1]*psi6
+ grid.NODE(grid.CELL(Cell_ID).nodes[6]).x[1]*psi7
+ grid.NODE(grid.CELL(Cell_ID).nodes[7]).x[1]*psi8;
X[2] = grid.NODE(grid.CELL(Cell_ID).nodes[0]).x[2]*psi1
+ grid.NODE(grid.CELL(Cell_ID).nodes[1]).x[2]*psi2
+ grid.NODE(grid.CELL(Cell_ID).nodes[2]).x[2]*psi3
+ grid.NODE(grid.CELL(Cell_ID).nodes[3]).x[2]*psi4
+ grid.NODE(grid.CELL(Cell_ID).nodes[4]).x[2]*psi5
+ grid.NODE(grid.CELL(Cell_ID).nodes[5]).x[2]*psi6
+ grid.NODE(grid.CELL(Cell_ID).nodes[6]).x[2]*psi7
+ grid.NODE(grid.CELL(Cell_ID).nodes[7]).x[2]*psi8;
}
