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GlobalMeshInfo.cpp
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GlobalMeshInfo.cpp
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/************************************************************************
* Copyright © 2020 The Multiphysics Modeling and Computation (M2C) Lab
* <kevin.wgy@gmail.com> <kevinw3@vt.edu>
************************************************************************/
#include<GlobalMeshInfo.h>
#include<SpaceVariable.h>
#include<algorithm> //std::upper_bound
#include<cfloat> //DBL_MAX
//------------------------------------------------------------------
GlobalMeshInfo::GlobalMeshInfo(std::vector<double> &x_glob_, std::vector<double> &y_glob_,
std::vector<double> &z_glob_, std::vector<double> &dx_glob_,
std::vector<double> &dy_glob_, std::vector<double> &dz_glob_,
bool is_staggered)
: staggered_grid(is_staggered)
{
x_glob = x_glob_; y_glob = y_glob_; z_glob = z_glob_;
dx_glob = dx_glob_; dy_glob = dy_glob_; dz_glob = dz_glob_;
assert(x_glob.size() == dx_glob.size());
assert(y_glob.size() == dy_glob.size());
assert(z_glob.size() == dz_glob.size());
xyz_min[0] = x_glob.front() - 0.5*dx_glob.front();
xyz_max[0] = x_glob.back() + 0.5*dx_glob.back();
xyz_min[1] = y_glob.front() - 0.5*dy_glob.front();
xyz_max[1] = y_glob.back() + 0.5*dy_glob.back();
xyz_min[2] = z_glob.front() - 0.5*dz_glob.front();
xyz_max[2] = z_glob.back() + 0.5*dz_glob.back();
one_dimensional_x = (y_glob.size()==1) && (z_glob.size()==1);
one_dimensional_y = (x_glob.size()==1) && (z_glob.size()==1);
one_dimensional_z = (x_glob.size()==1) && (y_glob.size()==1);
two_dimensional_xy = (z_glob.size()==1) && (x_glob.size()>1) && (y_glob.size()>1);
two_dimensional_xz = (y_glob.size()==1) && (x_glob.size()>1) && (z_glob.size()>1);
two_dimensional_yz = (x_glob.size()==1) && (y_glob.size()>1) && (z_glob.size()>1);
NX = x_glob.size();
NY = y_glob.size();
NZ = z_glob.size();
domain_volume = ((x_glob[NX-1] + 0.5*dx_glob[NX-1]) - (x_glob[0] - 0.5*dx_glob[0]))
* ((y_glob[NY-1] + 0.5*dy_glob[NY-1]) - (y_glob[0] - 0.5*dy_glob[0]))
* ((z_glob[NZ-1] + 0.5*dz_glob[NZ-1]) - (z_glob[0] - 0.5*dz_glob[0]));
}
//------------------------------------------------------------------
GlobalMeshInfo::~GlobalMeshInfo()
{ }
//------------------------------------------------------------------
void
GlobalMeshInfo::FindSubdomainInfo(MPI_Comm& comm, DataManagers3D& dms)
{
// Create a space variable only for use in this function. Destroyed at the end.
SpaceVariable3D S(comm, &(dms.ghosted1_1dof));
// Step 1: Construct subD_ijk_min/max
int rank, size;
MPI_Comm_rank(comm, &rank);
MPI_Comm_size(comm, &size);
assert(rank>=0 && rank<size);
int i0, j0, k0, imax, jmax, kmax;
S.GetCornerIndices(&i0, &j0, &k0, &imax, &jmax, &kmax);
subD_ijk_min.resize(size);
subD_ijk_min[rank] = Int3(i0,j0,k0);
subD_ijk_max.resize(size);
subD_ijk_max[rank] = Int3(imax,jmax,kmax);
MPI_Allgather(MPI_IN_PLACE, 3, MPI_INT, (int*)subD_ijk_min.data(), 3, MPI_INT, comm);
MPI_Allgather(MPI_IN_PLACE, 3, MPI_INT, (int*)subD_ijk_max.data(), 3, MPI_INT, comm);
// Step 2: Construct subD_xyz_min/max
subD_xyz_min.resize(size);
subD_xyz_min[rank] = Vec3D(x_glob[i0]-0.5*dx_glob[i0], y_glob[j0]-0.5*dy_glob[j0],
z_glob[k0]-0.5*dz_glob[k0]);
subD_xyz_max.resize(size);
subD_xyz_max[rank] = Vec3D(x_glob[imax-1]+0.5*dx_glob[imax-1],
y_glob[jmax-1]+0.5*dy_glob[jmax-1],
z_glob[kmax-1]+0.5*dz_glob[kmax-1]);
MPI_Allgather(MPI_IN_PLACE, 3, MPI_DOUBLE, (double*)subD_xyz_min.data(), 3, MPI_DOUBLE, comm);
MPI_Allgather(MPI_IN_PLACE, 3, MPI_DOUBLE, (double*)subD_xyz_max.data(), 3, MPI_DOUBLE, comm);
// Step 3: Find neighbours
int none = -1;
S.SetConstantValue(none, true); //ghosts outside physical domain will get 'none'
double*** s = S.GetDataPointer();
for(int k=k0; k<kmax; k++)
for(int j=j0; j<jmax; j++)
for(int i=i0; i<imax; i++)
s[k][j][i] = rank;
S.RestoreDataPointerAndInsert();
s = S.GetDataPointer();
std::vector<int> neighbors_all(size*27, none);
int myi, myj, myk;
for(int k=0; k<3; k++)
for(int j=0; j<3; j++)
for(int i=0; i<3; i++) {
if(i==0) myi = i0-1;
else if(i==2) myi = imax;
else myi = i0; //doesn't have to be i0
if(j==0) myj = j0-1;
else if(j==2) myj = jmax;
else myj = j0;
if(k==0) myk = k0-1;
else if(k==2) myk = kmax;
else myk = k0;
neighbors_all[27*rank + 9*k + 3*j + i] = (int)s[myk][myj][myi];
}
MPI_Allgather(MPI_IN_PLACE, 27, MPI_INT, neighbors_all.data(), 27, MPI_INT, comm);
S.RestoreDataPointerToLocalVector();
// Step 4: Setup all the neighbour vectors
subD_neighbors_27.resize(size);
subD_neighbors_all.resize(size);
subD_neighbors_19.resize(size);
subD_neighbors_face_edge.resize(size);
subD_neighbors_7.resize(size);
subD_neighbors_face.resize(size);
int neigh, neigh_type;
for(int proc=0; proc<size; proc++) {
for(int k=0; k<3; k++)
for(int j=0; j<3; j++)
for(int i=0; i<3; i++) {
neigh = neighbors_all[27*proc+9*k+3*j+i];
neigh_type = 0;
if(k==0 || k==2) neigh_type++;
if(j==0 || j==2) neigh_type++;
if(i==0 || i==2) neigh_type++;
subD_neighbors_27[proc].push_back(neigh);
if(neigh_type!=0 && neigh!=none)
subD_neighbors_all[proc].push_back(neigh);
if(neigh_type!=3) {
subD_neighbors_19[proc].push_back(neigh);
if(neigh_type!=0 && neigh!=none)
subD_neighbors_face_edge[proc].push_back(neigh);
}
if(neigh_type!=3 && neigh_type!=2) {
subD_neighbors_7[proc].push_back(neigh);
if(neigh_type!=0 && neigh!=none)
subD_neighbors_face[proc].push_back(neigh);
}
}
assert(subD_neighbors_27[proc].size()==27);
assert(subD_neighbors_all[proc].size()<=26);
assert(subD_neighbors_19[proc].size()==19);
assert(subD_neighbors_face_edge[proc].size()<=18);
assert(subD_neighbors_7[proc].size()==7);
assert(subD_neighbors_face[proc].size()<=6);
}
S.Destroy();
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetX(int i) {
if(i<0)
return x_glob[0] + i*dx_glob[0];
else if(i>=(int)x_glob.size())
return x_glob.back() + (i-x_glob.size()+1)*dx_glob.back();
else
return x_glob[i];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetY(int j) {
if(j<0)
return y_glob[0] + j*dy_glob[0];
else if(j>=(int)y_glob.size())
return y_glob.back() + (j-y_glob.size()+1)*dy_glob.back();
else
return y_glob[j];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetZ(int k) {
if(k<0)
return z_glob[0] + k*dz_glob[0];
else if(k>=(int)z_glob.size())
return z_glob.back() + (k-z_glob.size()+1)*dz_glob.back();
else
return z_glob[k];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDx(int i) {
if(i<0)
return dx_glob[0];
else if(i>=(int)dx_glob.size())
return dx_glob.back();
else
return dx_glob[i];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDy(int j) {
if(j<0)
return dy_glob[0];
else if(j>=(int)dy_glob.size())
return dy_glob.back();
else
return dy_glob[j];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDz(int k) {
if(k<0)
return dz_glob[0];
else if(k>=(int)dz_glob.size())
return dz_glob.back();
else
return dz_glob[k];
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetX(Int3 ijk)
{
return GetX(ijk[0]);
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetY(Int3 ijk)
{
return GetY(ijk[1]);
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetZ(Int3 ijk)
{
return GetZ(ijk[2]);
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDx(Int3 ijk)
{
return GetDx(ijk[0]);
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDy(Int3 ijk)
{
return GetDy(ijk[1]);
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetDz(Int3 ijk)
{
return GetDz(ijk[2]);
}
//------------------------------------------------------------------
Vec3D
GlobalMeshInfo::GetXYZ(Int3 ijk)
{
return Vec3D(GetX(ijk[0]), GetY(ijk[1]), GetZ(ijk[2]));
}
//------------------------------------------------------------------
Vec3D
GlobalMeshInfo::GetXYZ(int i, int j, int k)
{
return Vec3D(GetX(i), GetY(j), GetZ(k));
}
//------------------------------------------------------------------
Vec3D
GlobalMeshInfo::GetDXYZ(Int3 ijk)
{
return Vec3D(GetDx(ijk[0]), GetDy(ijk[1]), GetDz(ijk[2]));
}
//------------------------------------------------------------------
Vec3D
GlobalMeshInfo::GetDXYZ(int i, int j, int k)
{
return Vec3D(GetDx(i), GetDy(j), GetDz(k));
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetMinDXYZ(Int3 ijk)
{
double min_dxyz = DBL_MAX;
if(x_glob.size()>1) min_dxyz = std::min(min_dxyz, GetDx(ijk[0]));
if(y_glob.size()>1) min_dxyz = std::min(min_dxyz, GetDy(ijk[1]));
if(z_glob.size()>1) min_dxyz = std::min(min_dxyz, GetDz(ijk[2]));
return min_dxyz;
}
//------------------------------------------------------------------
double
GlobalMeshInfo::GetMaxDXYZ(Int3 ijk)
{
double max_dxyz = -DBL_MAX;
if(x_glob.size()>1) max_dxyz = std::max(max_dxyz, GetDx(ijk[0]));
if(y_glob.size()>1) max_dxyz = std::max(max_dxyz, GetDy(ijk[1]));
if(z_glob.size()>1) max_dxyz = std::max(max_dxyz, GetDz(ijk[2]));
return max_dxyz;
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::IsPointInDomain(Vec3D &p, bool include_ghost_layer)
{
int Nx = x_glob.size();
int Ny = y_glob.size();
int Nz = z_glob.size();
double shift = include_ghost_layer ? 1.5 : 0.5;
if(p[0] < x_glob[0] - shift*dx_glob[0]) return false;
if(p[0] > x_glob[Nx-1] + shift*dx_glob[Nx-1]) return false;
if(p[1] < y_glob[0] - shift*dy_glob[0]) return false;
if(p[1] > y_glob[Ny-1] + shift*dy_glob[Ny-1]) return false;
if(p[2] < z_glob[0] - shift*dz_glob[0]) return false;
if(p[2] > z_glob[Nz-1] + shift*dz_glob[Nz-1]) return false;
return true;
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::IsPointInNodalMesh(Vec3D &p, bool include_ghost_layer)
{
int Nx = x_glob.size();
int Ny = y_glob.size();
int Nz = z_glob.size();
double shift = include_ghost_layer ? 1.0 : 0.0;
if(p[0] < x_glob[0] - shift*dx_glob[0]) return false;
if(p[0] > x_glob[Nx-1] + shift*dx_glob[Nx-1]) return false;
if(p[1] < y_glob[0] - shift*dy_glob[0]) return false;
if(p[1] > y_glob[Ny-1] + shift*dy_glob[Ny-1]) return false;
if(p[2] < z_glob[0] - shift*dz_glob[0]) return false;
if(p[2] > z_glob[Nz-1] + shift*dz_glob[Nz-1]) return false;
return true;
}
//------------------------------------------------------------------
Int3
GlobalMeshInfo::FindClosestNodeToPoint(Vec3D &p, bool include_ghost_layer)
{
Int3 ijk;
double d1, d2;
int i = std::upper_bound(x_glob.begin(), x_glob.end(), p[0]) - x_glob.begin();
d1 = (i==(int)x_glob.size()) ? fabs(x_glob[i-1] + dx_glob[i-1] - p[0]) : fabs(x_glob[i] - p[0]);
d2 = (i==0) ? fabs(x_glob[i] - dx_glob[i] - p[0]) : fabs(x_glob[i-1] - p[0]);
ijk[0] = d1<d2 ? i : i-1;
if(!include_ghost_layer) {
if(ijk[0]==-1) ijk[0]++;
else if(ijk[0]==(int)x_glob.size()) ijk[0]--;
}
int j = std::upper_bound(y_glob.begin(), y_glob.end(), p[1]) - y_glob.begin();
d1 = (j==(int)y_glob.size()) ? fabs(y_glob[j-1] + dy_glob[j-1] - p[1]) : fabs(y_glob[j] - p[1]);
d2 = (j==0) ? fabs(y_glob[j] - dy_glob[j] - p[1]) : fabs(y_glob[j-1] - p[1]);
ijk[1] = d1<d2 ? j : j-1;
if(!include_ghost_layer) {
if(ijk[1]==-1) ijk[1]++;
else if(ijk[1]==(int)y_glob.size()) ijk[1]--;
}
int k = std::upper_bound(z_glob.begin(), z_glob.end(), p[2]) - z_glob.begin();
d1 = (k==(int)z_glob.size()) ? fabs(z_glob[k-1] + dz_glob[k-1] - p[2]) : fabs(z_glob[k] - p[2]);
d2 = (k==0) ? fabs(z_glob[k] - dz_glob[k] - p[2]) : fabs(z_glob[k-1] - p[2]);
ijk[2] = d1<d2 ? k : k-1;
if(!include_ghost_layer) {
if(ijk[1]==-1) ijk[1]++;
else if(ijk[1]==(int)y_glob.size()) ijk[1]--;
}
return ijk;
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::FindCellCoveringPoint(Vec3D &p, Int3 &ijk, bool include_ghost_layer)
{
if(!IsPointInDomain(p, include_ghost_layer))
return false;
double shift = 0.5;
if(include_ghost_layer && p[0]<x_glob[0]-shift*dx_glob[0]) {
ijk[0] = -1;
} else {
bool found = false;
for(int i=0; i<(int)x_glob.size(); i++) {
if(p[0]<x_glob[i]+shift*dx_glob[i]) {
ijk[0] = i;
found = true;
break;
}
}
if(!found)
ijk[0] = include_ghost_layer ? x_glob.size() : x_glob.size() - 1;
}
if(include_ghost_layer && p[1]<y_glob[0]-shift*dy_glob[0]) {
ijk[1] = -1;
} else {
bool found = false;
for(int i=0; i<(int)y_glob.size(); i++) {
if(p[1]<y_glob[i]+shift*dy_glob[i]) {
ijk[1] = i;
found = true;
break;
}
}
if(!found)
ijk[1] = include_ghost_layer ? y_glob.size() : y_glob.size() - 1;
}
if(include_ghost_layer && p[2]<z_glob[0]-shift*dz_glob[0]) {
ijk[2] = -1;
} else {
bool found = false;
for(int i=0; i<(int)z_glob.size(); i++) {
if(p[2]<z_glob[i]+shift*dz_glob[i]) {
ijk[2] = i;
found = true;
break;
}
}
if(!found)
ijk[2] = include_ghost_layer ? z_glob.size() : z_glob.size() - 1;
}
return true;
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::FindElementCoveringPoint(Vec3D &p, Int3 &ijk0, Vec3D *xi, bool include_ghost_layer)
{
if(!IsPointInNodalMesh(p, include_ghost_layer))
return false;
ijk0[0] = int(std::upper_bound(x_glob.begin(), x_glob.end(), p[0]) - x_glob.begin()) - 1;
ijk0[1] = int(std::upper_bound(y_glob.begin(), y_glob.end(), p[1]) - y_glob.begin()) - 1;
ijk0[2] = int(std::upper_bound(z_glob.begin(), z_glob.end(), p[2]) - z_glob.begin()) - 1;
if(xi) {
double s0 = GetX(ijk0[0]);
(*xi)[0] = (p[0] - s0)/(GetX(ijk0[0]+1) - s0);
s0 = GetY(ijk0[1]);
(*xi)[1] = (p[1] - s0)/(GetY(ijk0[1]+1) - s0);
s0 = GetZ(ijk0[2]);
(*xi)[2] = (p[2] - s0)/(GetZ(ijk0[2]+1) - s0);
}
return true;
}
//------------------------------------------------------------------
int
GlobalMeshInfo::GetOwnerOfCell(int i, int j, int k, bool include_ghost_layer)
{
assert(!subD_ijk_min.empty()); //otherwise, this vector has not been created!
if(include_ghost_layer) { //"pull" the node into the domain interior
if(i==-1) i = 0;
if(i==(int)x_glob.size()) i = x_glob.size()-1;
if(j==-1) j = 0;
if(j==(int)y_glob.size()) j = y_glob.size()-1;
if(k==-1) k = 0;
if(k==(int)z_glob.size()) k = z_glob.size()-1;
}
for(int proc=0; proc<(int)subD_ijk_min.size(); proc++) {
if(k >= subD_ijk_min[proc][2] && k < subD_ijk_max[proc][2] &&
j >= subD_ijk_min[proc][1] && j < subD_ijk_max[proc][1] &&
i >= subD_ijk_min[proc][0] && i < subD_ijk_max[proc][0])
return proc; //got you!
}
return -1; //not found!
}
//------------------------------------------------------------------
int
GlobalMeshInfo::GetOwnerOfPoint(Vec3D &p, bool include_ghost_layer)
{
Int3 ijk;
bool found = FindCellCoveringPoint(p, ijk, include_ghost_layer);
if(!found)
return -1; //not found!
return GetOwnerOfCell(ijk[0], ijk[1], ijk[2], include_ghost_layer);
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::IsCellInSubdomain(int i, int j, int k, int sub,
bool include_ext_ghost_layer)
{
assert(!subD_ijk_min.empty()); //otherwise, this vector has not been created!
if(sub<0 || sub>=(int)subD_ijk_min.size()){
fprintf(stdout,"\033[0;31m*** Error: Calling IsCellInSubdomain with incorrect "
"subdomain id (%d).\033[0m\n", sub);
exit(-1);
}
if(include_ext_ghost_layer) {
if(i==-1) i = 0;
if(i==(int)x_glob.size()) i = x_glob.size()-1;
if(j==-1) j = 0;
if(j==(int)y_glob.size()) j = y_glob.size()-1;
if(k==-1) k = 0;
if(k==(int)z_glob.size()) k = z_glob.size()-1;
}
if(k >= subD_ijk_min[sub][2] && k < subD_ijk_max[sub][2] &&
j >= subD_ijk_min[sub][1] && j < subD_ijk_max[sub][1] &&
i >= subD_ijk_min[sub][0] && i < subD_ijk_max[sub][0])
return true;
return false;
}
//------------------------------------------------------------------
bool
GlobalMeshInfo::IsPointInSubdomain(Vec3D &p, int sub, bool include_ext_ghost_layer)
{
Int3 ijk;
bool found = FindCellCoveringPoint(p, ijk, include_ext_ghost_layer);
if(!found)
return false;
return IsCellInSubdomain(ijk[0], ijk[1], ijk[2], sub, include_ext_ghost_layer);
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::GetAllNeighborsOfSub(int sub) {
assert(!subD_neighbors_all.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_all.size());
return subD_neighbors_all[sub];
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::GetFaceEdgeNeighborsOfSub(int sub) {
assert(!subD_neighbors_face_edge.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_face_edge.size());
return subD_neighbors_face_edge[sub];
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::GetFaceNeighborsOfSub(int sub) {
assert(!subD_neighbors_face.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_face.size());
return subD_neighbors_face[sub];
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::Get27NeighborhoodOfSub(int sub) {
assert(!subD_neighbors_27.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_27.size());
return subD_neighbors_27[sub];
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::Get19NeighborhoodOfSub(int sub) {
assert(!subD_neighbors_19.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_19.size());
return subD_neighbors_19[sub];
}
//------------------------------------------------------------------
std::vector<int> &
GlobalMeshInfo::Get7NeighborhoodOfSub(int sub) {
assert(!subD_neighbors_7.empty()); //otherwise, it has not been created!
assert(sub>=0 && sub<(int)subD_neighbors_7.size());
return subD_neighbors_7[sub];
}
//------------------------------------------------------------------
//------------------------------------------------------------------