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add geometric terms for spherical 2D support. #4141

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merged 3 commits into from
Sep 12, 2024
Merged

add geometric terms for spherical 2D support. #4141

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703a7a0
add corresponding area/volume factors for spherical 2d
zhichen3 Sep 8, 2024
6a5834d
add +1 for UpperIndex
zhichen3 Sep 10, 2024
6980dad
revert back calculation and move +1 outside int()
zhichen3 Sep 12, 2024
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80 changes: 77 additions & 3 deletions Src/Base/AMReX_CoordSys.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -164,7 +164,7 @@ CoordSys::UpperIndex(const Real* point) const noexcept
IntVect ix;
for (int k = 0; k < AMREX_SPACEDIM; k++)
{
ix[k] = (int) ((point[k]-offset[k])/dx[k]);
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Maybe we should do +1 to the int, not the real number before the cast.

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I moved the +1 outside int()

ix[k] = (int) ((point[k]-offset[k])/dx[k] + 1);
}
return ix;
}
Expand Down Expand Up @@ -330,6 +330,8 @@ CoordSys::GetEdgeVolCoord (Vector<Real>& vc,
GetEdgeLoc(vc,region,dir);
//
// In R direction of RZ, vol coord = (r^2)/2
// In R direction of SPHERICAL, vol coord = (r^3)/3
// In theta direction of SPHERICAL, vol coord = -cos(theta)
//
#if (AMREX_SPACEDIM == 2)
if (dir == 0 && c_sys == RZ)
Expand All @@ -342,6 +344,29 @@ CoordSys::GetEdgeVolCoord (Vector<Real>& vc,
vc[i] = 0.5_rt*r*r;
}
}
else if (c_sys == SPHERICAL)
{
if (dir == 0)
{
int len = static_cast<int>(vc.size());
AMREX_PRAGMA_SIMD
for (int i = 0; i < len; i++)
{
Real r = vc[i];
vc[i] = r*r*r/3.0_rt;
}
}
else
{
int len = static_cast<int>(vc.size());
AMREX_PRAGMA_SIMD
for (int i = 0; i < len; i++)
{
Real theta = vc[i];
vc[i] = -std::cos(theta);
}
}
}
#elif (AMREX_SPACEDIM == 1)
if (c_sys == SPHERICAL)
{
Expand All @@ -365,8 +390,11 @@ CoordSys::GetCellVolCoord (Vector<Real>& vc,
// are identical to physical distance from axis.
//
GetCellLoc(vc,region,dir);

//
// In R direction of RZ, vol coord = (r^2)/2.
// In R direction of RZ, vol coord = (r^2)/2
// In R direction of SPHERICAL, vol coord = (r^3)/3
// In theta direction of SPHERICAL, vol coord = -cos(theta)
//
#if (AMREX_SPACEDIM == 2)
if (dir == 0 && c_sys == RZ)
Expand All @@ -379,6 +407,29 @@ CoordSys::GetCellVolCoord (Vector<Real>& vc,
vc[i] = 0.5_rt*r*r;
}
}
else if (c_sys == SPHERICAL)
{
if (dir == 0)
{
int len = static_cast<int>(vc.size());
AMREX_PRAGMA_SIMD
for (int i = 0; i < len; i++)
{
Real r = vc[i];
vc[i] = r*r*r/3.0_rt;
}
}
else
{
int len = static_cast<int>(vc.size());
AMREX_PRAGMA_SIMD
for (int i = 0; i < len; i++)
{
Real theta = vc[i];
vc[i] = -std::cos(theta);
}
}
}
#elif (AMREX_SPACEDIM == 1)
if (c_sys == SPHERICAL) {
int len = static_cast<int>(vc.size());
Expand Down Expand Up @@ -461,7 +512,10 @@ CoordSys::Volume (const Real xlo[AMREX_SPACEDIM],
*(xhi[2]-xlo[2]));
#if (AMREX_SPACEDIM==2)
case RZ:
return static_cast<Real>(0.5*TWOPI)*(xhi[1]-xlo[1])*(xhi[0]*xhi[0]-xlo[0]*xlo[0]);
return static_cast<Real>(0.5*TWOPI)*(xhi[1]-xlo[1])*(xhi[0]+xlo[0])*(xhi[0]-xlo[0]);
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this will cause roundoff diffs when merged

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should I change it back?

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Yes, that would be better.

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okay, I changed it back.

case SPHERICAL:
return static_cast<Real>(TWOPI/3.)*(std::cos(xlo[1])-std::cos(xhi[1])) *
(xhi[0]-xlo[0])*(xhi[0]*xhi[0]+xhi[0]*xlo[0]+xlo[0]*xlo[0]);
#endif
default:
AMREX_ASSERT(0);
Expand Down Expand Up @@ -496,6 +550,16 @@ CoordSys::AreaLo (const IntVect& point, int dir) const noexcept // NOLINT(readab
AMREX_ASSERT(0);
}
return 0._rt; // to silent compiler warning
case SPHERICAL:
LoNode(point,xlo);
switch (dir)
{
case 0: return Real(TWOPI)*xlo[0]*xlo[0]*(std::cos(xlo[1]) - std::cos(xlo[1]+dx[1]));
case 1: return (xlo[0]+xlo[0]+dx[0])*dx[0]*std::sin(xlo[1])*static_cast<Real>(0.5*TWOPI);
default:
AMREX_ASSERT(0);
}
return 0._rt; // to silent compiler warning
default:
AMREX_ASSERT(0);
}
Expand Down Expand Up @@ -540,6 +604,16 @@ CoordSys::AreaHi (const IntVect& point, int dir) const noexcept // NOLINT(readab
AMREX_ASSERT(0);
}
return 0._rt; // to silent compiler warning
case SPHERICAL:
HiNode(point,xhi);
switch (dir)
{
case 0: return Real(TWOPI)*xhi[0]*xhi[0]*(std::cos(xhi[1]-dx[1]) - std::cos(xhi[1]));
case 1: return (xhi[0]+xhi[0]-dx[0])*dx[0]*std::sin(xhi[1])*static_cast<Real>(0.5*TWOPI);
default:
AMREX_ASSERT(0);
}
return 0._rt; // to silent compiler warning
default:
AMREX_ASSERT(0);
}
Expand Down
15 changes: 14 additions & 1 deletion Src/Base/AMReX_Geometry.H
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Original file line number Diff line number Diff line change
Expand Up @@ -264,7 +264,7 @@ public:

vol = dx[0] * dx[1];
}
else {
else if (coord == CoordSys::RZ) {
// Cylindrical

Real r_l = geomdata.ProbLo()[0] + static_cast<Real>(point[0]) * dx[0];
Expand All @@ -273,6 +273,19 @@ public:
constexpr Real pi = Real(3.1415926535897932);
vol = pi * (r_l + r_r) * dx[0] * dx[1];
}
else {
// Spherical

Real r_l = geomdata.ProbLo()[0] + static_cast<Real>(point[0]) * dx[0];
Real r_r = geomdata.ProbLo()[0] + static_cast<Real>(point[0]+1) * dx[0];

Real theta_l = geomdata.ProbLo()[1] + static_cast<Real>(point[1]) * dx[1];
Real theta_r = geomdata.ProbLo()[1] + static_cast<Real>(point[1]+1) * dx[1];

constexpr Real twoThirdsPi = static_cast<Real>(2.0 * 3.1415926535897932 / 3.0);
vol = twoThirdsPi * (std::cos(theta_l) - std::cos(theta_r)) * dx[0] *
(r_r*r_r + r_r*r_l + r_l*r_l);
}

#else

Expand Down
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