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AMReX_EB2_3D_C.cpp
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#include <AMReX_EB2_C.H>
namespace amrex { namespace EB2 {
namespace {
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
void set_covered (const int i, const int j, const int k,
Array4<EBCellFlag> const& cell,
Array4<Real> const& vfrac, Array4<Real> const& vcent,
Array4<Real> const& barea, Array4<Real> const& bcent,
Array4<Real> const& bnorm) noexcept
{
vfrac(i,j,k) = 0.0_rt;
vcent(i,j,k,0) = 0.0_rt;
vcent(i,j,k,1) = 0.0_rt;
vcent(i,j,k,2) = 0.0_rt;
bcent(i,j,k,0) = -1.0_rt;
bcent(i,j,k,1) = -1.0_rt;
bcent(i,j,k,2) = -1.0_rt;
bnorm(i,j,k,0) = 0.0_rt;
bnorm(i,j,k,1) = 0.0_rt;
bnorm(i,j,k,2) = 0.0_rt;
barea(i,j,k) = 0.0_rt;
cell(i,j,k).setCovered();
}
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
void set_eb_data (const int i, const int j, const int k,
Array4<EBCellFlag> const& cell, Array4<Real> const& apx,
Array4<Real> const& apy, Array4<Real> const& apz,
Array4<Real const> const& fcx, Array4<Real const> const& fcy,
Array4<Real const> const& fcz, Array4<Real const> const& m2x,
Array4<Real const> const& m2y, Array4<Real const> const& m2z,
Array4<Real> const& vfrac, Array4<Real> const& vcent,
Array4<Real> const& barea, Array4<Real> const& bcent,
Array4<Real> const& bnorm, Real small_volfrac,
bool& is_small_cell, bool& is_multicut) noexcept
{
Real axm = apx(i,j,k);
Real axp = apx(i+1,j,k);
Real aym = apy(i,j,k);
Real ayp = apy(i,j+1,k);
Real azm = apz(i,j,k);
Real azp = apz(i,j,k+1);
// Check for small cell first
if (((axm == 0.0_rt && axp == 0.0_rt) &&
(aym == 0.0_rt && ayp == 0.0_rt) &&
(azm == 0.0_rt || azp == 0.0_rt)) ||
((axm == 0.0_rt && axp == 0.0_rt) &&
(aym == 0.0_rt || ayp == 0.0_rt) &&
(azm == 0.0_rt && azp == 0.0_rt)) ||
((axm == 0.0_rt || axp == 0.0_rt) &&
(aym == 0.0_rt && ayp == 0.0_rt) &&
(azm == 0.0_rt && azp == 0.0_rt))) {
set_covered(i, j, k, cell, vfrac, vcent, barea, bcent, bnorm);
is_small_cell = true;
return;
}
// Check for multiple cuts
// We know there are no multiple cuts on faces by now.
// We need to check the case that there are two cuts
// at the opposite corners.
bool multi_cuts = (axm >= 0.5_rt && axm < 1.0_rt &&
axp >= 0.5_rt && axp < 1.0_rt &&
aym >= 0.5_rt && aym < 1.0_rt &&
ayp >= 0.5_rt && ayp < 1.0_rt &&
azm >= 0.5_rt && azm < 1.0_rt &&
azp >= 0.5_rt && azp < 1.0_rt);
if (multi_cuts) {
set_covered(i, j, k, cell, vfrac, vcent, barea, bcent, bnorm);
is_multicut = true;
return;
}
Real dapx = axm - axp;
Real dapy = aym - ayp;
Real dapz = azm - azp;
Real apnorm = std::sqrt(dapx*dapx+dapy*dapy+dapz*dapz);
if (apnorm == 0.0_rt) {
bool maybe_multi_cuts = (axm == 0.0_rt && axp == 0.0_rt) ||
(aym == 0.0_rt && ayp == 0.0_rt) ||
(azm == 0.0_rt && azp == 0.0_rt);
if (maybe_multi_cuts) {
set_covered(i, j, k, cell, vfrac, vcent, barea, bcent, bnorm);
is_multicut = true;
return;
} else {
amrex::Abort("amrex::EB2:build_cells: apnorm==0");
}
}
Real apnorminv = 1.0_rt/apnorm;
Real nx = dapx * apnorminv;
Real ny = dapy * apnorminv;
Real nz = dapz * apnorminv;
bnorm(i,j,k,0) = nx;
bnorm(i,j,k,1) = ny;
bnorm(i,j,k,2) = nz;
barea(i,j,k) = nx*dapx + ny*dapy + nz*dapz;
Real aax = 0.5_rt*(axm+axp);
Real aay = 0.5_rt*(aym+ayp);
Real aaz = 0.5_rt*(azm+azp);
Real B0 = aax + aay + aaz;
Real Bx = -nx*aax + ny*(aym*fcy(i,j,k,0)-ayp*fcy(i,j+1,k,0))
+ nz*(azm*fcz(i,j,k,0)-azp*fcz(i,j,k+1,0));
Real By = -ny*aay + nx*(axm*fcx(i,j,k,0)-axp*fcx(i+1,j,k,0))
+ nz*(azm*fcz(i,j,k,1)-azp*fcz(i,j,k+1,1));
Real Bz = -nz*aaz + nx*(axm*fcx(i,j,k,1)-axp*fcx(i+1,j,k,1))
+ ny*(aym*fcy(i,j,k,1)-ayp*fcy(i,j+1,k,1));
vfrac(i,j,k) = 0.5_rt*(B0 + nx*Bx + ny*By + nz*Bz);
// remove small cell
if (vfrac(i,j,k) < small_volfrac) {
set_covered(i, j, k, cell, vfrac, vcent, barea, bcent, bnorm);
is_small_cell = true;
return;
}
Real bainv = 1.0_rt/barea(i,j,k);
bcent(i,j,k,0) = bainv * (Bx + nx*vfrac(i,j,k));
bcent(i,j,k,1) = bainv * (By + ny*vfrac(i,j,k));
bcent(i,j,k,2) = bainv * (Bz + nz*vfrac(i,j,k));
Real b1 = 0.5_rt*(axp-axm) + 0.5_rt*(ayp*fcy(i,j+1,k,0) + aym*fcy(i,j,k,0)) + 0.5_rt*(azp*fcz(i,j,k+1,0) + azm*fcz(i,j,k,0));
Real b2 = 0.5_rt*(axp*fcx(i+1,j,k,0) + axm*fcx(i,j,k,0)) + 0.5_rt*(ayp-aym) + 0.5_rt*(azp*fcz(i,j,k+1,1) + azm*fcz(i,j,k,1));
Real b3 = 0.5_rt*(axp*fcx(i+1,j,k,1) + axm*fcx(i,j,k,1)) + 0.5_rt*(ayp*fcy(i,j+1,k,1) + aym*fcy(i,j,k,1)) + 0.5_rt*(azp-azm);
Real b4 = -nx*0.25*(axp-axm) - ny*(m2y(i,j+1,k,0) - m2y(i,j,k,0)) - nz*(m2z(i,j,k+1,0) - m2z(i,j,k,0));
Real b5 = -nx*(m2x(i+1,j,k,0) - m2x(i,j,k,0)) - ny*0.25*(ayp-aym) - nz*(m2z(i,j,k+1,1) - m2z(i,j,k,1));
Real b6 = -nx*(m2x(i+1,j,k,1) - m2x(i,j,k,1)) - ny*(m2y(i,j+1,k,1) - m2y(i,j,k,1)) - nz*0.25*(azp-azm);
Real b7 = -nx*0.5_rt*(axp*fcx(i+1,j,k,0) + axm*fcx(i,j,k,0)) - ny*0.5_rt*(ayp*fcy(i,j+1,k,0) + aym*fcy(i,j,k,0)) - nz*(m2z(i,j,k+1,2) - m2z(i,j,k,2));
Real b8 = -nx*0.5_rt*(axp*fcx(i+1,j,k,1) + axm*fcx(i,j,k,1)) - ny*(m2y(i,j+1,k,2) - m2y(i,j,k,2)) - nz*0.5_rt*(azp*fcz(i,j,k+1,0) + azm*fcz(i,j,k,0));
Real b9 = -nx*(m2x(i+1,j,k,2) - m2x(i,j,k,2)) - ny*0.5_rt*(ayp*fcy(i,j+1,k,1) + aym*fcy(i,j,k,1)) - nz*0.5_rt*(azp*fcz(i,j,k+1,1) + azm*fcz(i,j,k,1));
Real ny2 = ny*ny;
Real ny3 = ny2*ny;
Real ny4 = ny3*ny;
Real nz2 = nz*nz;
Real nz3 = nz2*nz;
Real nz4 = nz3*nz;
Real nz5 = nz4*nz;
Real Sx = (5._rt*(b1*(5._rt - 3._rt*ny2) + 2._rt*b4*nx*(5._rt - 3._rt*ny2) +
ny*(nx*(b2 + 2._rt*b5*ny) + b7*(6._rt - 4._rt*ny2))) +
(2._rt*b8*(15._rt - 11._rt*ny2 + ny4) +
nx*(b3*(5._rt - 2._rt*ny2) - 2._rt*b9*ny*(-5._rt + ny2)))*nz +
(-22._rt*b7*ny - 2._rt*nx*(15._rt*b4 - 5._rt*b6 + b2*ny) +
ny2*((16._rt*b4 - 4._rt*(b5 + b6))*nx + 10._rt*b7*ny) +
b1*(-15._rt + 8._rt*ny2))*nz2 +
2._rt*(-(b9*nx*ny) + 5._rt*b8*(-2._rt + ny2))*nz3 +
2._rt*b7*ny*nz4);
Real Sy = (5._rt*(2._rt*b7*nx*(1._rt + 2._rt*ny2) + b2*(2._rt + 3._rt*ny2) +
ny*(b1*nx - 2._rt*b4*(-1._rt + ny2) + b5*(4._rt + 6._rt*ny2))) +
(2._rt*b9*(5._rt + 9._rt*ny2 + ny4) +
ny*(2._rt*b8*nx*(4._rt + ny2) + b3*(3._rt + 2._rt*ny2)))*nz +
(2._rt*b7*nx*(4._rt - 5._rt*ny2) - 8._rt*b2*(-1._rt + ny2) +
2._rt*ny*(-7._rt*b4 + 8._rt*b5 + 3._rt*b6 - b1*nx +
2._rt*(b4 - 4._rt*b5 + b6)*ny2))*nz2 +
2._rt*(b3*ny + b9*(4._rt - 3._rt*ny2))*nz3 +
(-8._rt*(b2 + b7*nx) + 4._rt*(b4 - 4._rt*b5 + b6)*ny)*nz4 -
8._rt*b9*nz5);
Real Sz = (-2._rt*(b3 + b8*nx + b9*ny)*(-5._rt - 4._rt*ny2 + 4._rt*ny4) +
(5._rt*(2._rt*b4 + 4._rt*b6 + b1*nx) + (3._rt*b2 + 8._rt*b7*nx)*ny -
2._rt*(7._rt*b4 - 3._rt*b5 - 8._rt*b6 + b1*nx)*ny2 +
2._rt*b2*ny3 + 4._rt*(b4 + b5 - 4._rt*b6)*ny4)*nz +
(b3*(15._rt - 8._rt*ny2) - 6._rt*b9*ny*(-3._rt + ny2) -
10._rt*b8*nx*(-2._rt + ny2))*nz2 +
2._rt*(-5._rt*b4 + 15._rt*b6 + (b2 + b7*nx)*ny +
2._rt*(b4 + b5 - 4._rt*b6)*ny2)*nz3 + 2._rt*b9*ny*nz4);
Real den = 1._rt / (10._rt*(5._rt + 4._rt*nz2 - 4._rt*nz4 + 2._rt*ny4*(-2._rt + nz2) +
2._rt*ny2*(2._rt - 3._rt*nz2 + nz4)) * (vfrac(i,j,k)+1.e-30_rt) );
vcent(i,j,k,0) = Sx * den;
vcent(i,j,k,1) = Sy * den;
vcent(i,j,k,2) = Sz * den;
}
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
void cut_face_2d (Real& areafrac, Real& centx, Real& centy,
Real& Sx2, Real& Sy2, Real& Sxy,
Real axm, Real axp, Real aym, Real ayp,
Real bcx, Real bcy) noexcept
{
#ifdef AMREX_USE_FLOAT
constexpr Real small = 1.e-5_rt;
constexpr Real tiny = 1.e-6_rt;
#else
constexpr Real small = 1.e-14;
constexpr Real tiny = 1.e-15;
#endif
Real apnorm = std::hypot(axm-axp,aym-ayp);
Real nx = (axm-axp) * (1.0_rt/apnorm); // pointing to the wall
Real ny = (aym-ayp) * (1.0_rt/apnorm);
Real nxabs = amrex::Math::abs(nx);
Real nyabs = amrex::Math::abs(ny);
if (nxabs < tiny || nyabs > 1.0_rt-tiny) {
areafrac = 0.5_rt*(axm+axp);
if (areafrac > 1.0_rt-small) {
areafrac = 1.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = Sy2 = 1.0_rt/12._rt;
Sxy = 0.0_rt;
} else if (areafrac < small) {
areafrac = 0.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = 0.0_rt;
Sy2 = 0.0_rt;
Sxy = 0.0_rt;
} else {
centx = 0.0_rt;
centy = (0.125_rt*(ayp-aym) + ny*0.5_rt*bcy*bcy)/areafrac;
Sx2 = (1.0_rt/24._rt)*(axm+axp);
Sy2 = (1.0_rt/24._rt)*(ayp+aym) + ny*(1.0_rt/3._rt)*(bcy*bcy*bcy);
Sxy = 0.0_rt;
}
} else if (nyabs < tiny || nxabs > 1.0_rt-tiny) {
areafrac = 0.5_rt*(aym+ayp);
if (areafrac > 1.0_rt-small) {
areafrac = 1.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = Sy2 = 1.0_rt/12._rt;
Sxy = 0.0_rt;
} else if (areafrac < small) {
areafrac = 0.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = 0.0_rt;
Sy2 = 0.0_rt;
Sxy = 0.0_rt;
} else {
centx = (0.125_rt*(axp-axm) + nx*0.5_rt*bcx*bcx)/areafrac;
centy = 0.0_rt;
Sx2 = (1.0_rt/24._rt)*(axp+axm) + nx*(1.0_rt/3._rt)*(bcx*bcx*bcx);
Sy2 = (1.0_rt/24._rt)*(ayp+aym);
Sxy = 0.0_rt;
}
} else {
Real signx = (nx > 0.0_rt) ? 1.0_rt : -1.0_rt;
Real x_ym = (-0.5_rt + aym)*signx;
Real x_yp = (-0.5_rt + ayp)*signx;
Real aa = nxabs/ny;
Real dx = x_ym - x_yp;
Real dx2 = dx * (x_ym + x_yp);
Real dx3 = dx * (x_ym*x_ym + x_ym*x_yp + x_yp*x_yp);
Real dx4 = dx * (x_ym + x_yp) * (x_ym*x_ym + x_yp*x_yp);
Real af1 = 0.5_rt*(axm+axp) + aa*0.5_rt*dx2;
centx = 0.125_rt*(axp-axm) + aa*(1.0_rt/6._rt)*dx3;
Sx2 = (1.0_rt/24._rt)*(axm+axp) + aa*(1.0_rt/12._rt)*dx4;
Real signy = (ny > 0.0_rt) ? 1.0_rt : -1.0_rt;
Real y_xm = (-0.5_rt + axm)*signy;
Real y_xp = (-0.5_rt + axp)*signy;
aa = nyabs/nx;
Real dy = y_xm - y_xp;
Real dy2 = dy * (y_xm + y_xp);
Real dy3 = dy * (y_xm*y_xm + y_xm*y_xp + y_xp*y_xp);
Real dy4 = dy * (y_xm + y_xp) * (y_xm*y_xm + y_xp*y_xp);
Real af2 = 0.5_rt*(aym+ayp) + aa*0.5_rt*dy2;
centy = (1.0_rt/8._rt)*(ayp-aym) + aa*(1.0_rt/6._rt)*dy3;
Sy2 = (1.0_rt/24._rt)*(aym+ayp) + aa*(1.0_rt/12._rt)*dy4;
Real S_b = (nxabs < nyabs)
? (Sx2 - (1.0_rt/24._rt) - signx*(1.0_rt/6._rt)*(x_ym*x_ym*x_ym+x_yp*x_yp*x_yp)) / ny
: (Sy2 - (1.0_rt/24._rt) - signy*(1.0_rt/6._rt)*(y_xm*y_xm*y_xm+y_xp*y_xp*y_xp)) / nx;
Sxy = (nxabs < nyabs)
? -signy*(1.0_rt/16._rt)*dy2 + 0.5_rt*nx*S_b
: -signx*(1.0_rt/16._rt)*dx2 + 0.5_rt*ny*S_b;
areafrac = 0.5_rt*(af1+af2);
if (areafrac > 1.0_rt-small) {
areafrac = 1.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = Sy2 = 1.0_rt/12._rt;
Sxy = 0.0_rt;
} else if (areafrac < small) {
areafrac = 0.0_rt;
centx = 0.0_rt;
centy = 0.0_rt;
Sx2 = 0.0_rt;
Sy2 = 0.0_rt;
Sxy = 0.0_rt;
} else {
centx *= 1.0_rt/areafrac;
centy *= 1.0_rt/areafrac;
centx = amrex::min(amrex::max(centx,Real(-0.5)),Real(0.5));
centy = amrex::min(amrex::max(centy,Real(-0.5)),Real(0.5));
}
}
}
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
void set_eb_cell (int i, int j, int k,
Array4<EBCellFlag> const& cell, Array4<Real> const& apx,
Array4<Real> const& apy, Array4<Real> const& apz,
Array4<Real const> const& fcx, Array4<Real const> const& fcy,
Array4<Real const> const& fcz, Array4<Real const> const& m2x,
Array4<Real const> const& m2y, Array4<Real const> const& m2z,
Array4<Real> const& vfrac, Array4<Real> const& vcent,
Array4<Real> const& barea, Array4<Real> const& bcent,
Array4<Real> const& bnorm, Real small_volfrac,
bool& is_small_cell, bool& is_multicut) noexcept
{
if (cell(i,j,k).isRegular()) {
vfrac(i,j,k) = 1.0_rt;
vcent(i,j,k,0) = 0.0_rt;
vcent(i,j,k,1) = 0.0_rt;
vcent(i,j,k,2) = 0.0_rt;
bcent(i,j,k,0) = -1.0_rt;
bcent(i,j,k,1) = -1.0_rt;
bcent(i,j,k,2) = -1.0_rt;
bnorm(i,j,k,0) = 0.0_rt;
bnorm(i,j,k,1) = 0.0_rt;
bnorm(i,j,k,2) = 0.0_rt;
barea(i,j,k) = 0.0_rt;
} else if (cell(i,j,k).isCovered()) {
vfrac(i,j,k) = 0.0_rt;
vcent(i,j,k,0) = 0.0_rt;
vcent(i,j,k,1) = 0.0_rt;
vcent(i,j,k,2) = 0.0_rt;
bcent(i,j,k,0) = -1.0_rt;
bcent(i,j,k,1) = -1.0_rt;
bcent(i,j,k,2) = -1.0_rt;
bnorm(i,j,k,0) = 0.0_rt;
bnorm(i,j,k,1) = 0.0_rt;
bnorm(i,j,k,2) = 0.0_rt;
barea(i,j,k) = 0.0_rt;
} else {
set_eb_data(i, j , k, cell, apx, apy, apz, fcx, fcy, fcz, m2x, m2y, m2z,
vfrac, vcent, barea, bcent, bnorm, small_volfrac,
is_small_cell, is_multicut);
}
}
}
int build_faces (Box const& bx, Array4<EBCellFlag> const& cell,
Array4<Type_t> const& fx, Array4<Type_t> const& fy,
Array4<Type_t> const& fz, Array4<Type_t const> const& ex,
Array4<Type_t const> const& ey, Array4<Type_t const> const& ez,
Array4<Real> const& levset, Array4<Real const> const& interx,
Array4<Real const> const& intery, Array4<Real const> const& interz,
Array4<Real> const& apx, Array4<Real> const& apy,
Array4<Real> const& apz, Array4<Real> const& fcx,
Array4<Real> const& fcy, Array4<Real> const& fcz,
Array4<Real> const& m2x, Array4<Real> const& m2y,
Array4<Real> const& m2z,
GpuArray<Real,AMREX_SPACEDIM> const& dx,
GpuArray<Real,AMREX_SPACEDIM> const& problo,
bool cover_multiple_cuts) noexcept
{
Gpu::Buffer<int> nmulticuts = {0};
int* hp = nmulticuts.hostData();
int* dp = nmulticuts.data();
#ifdef AMREX_USE_FLOAT
constexpr Real small = 1.e-5_rt;
#else
constexpr Real small = 1.e-14;
#endif
const Real dxinv = 1.0_rt/dx[0];
const Real dyinv = 1.0_rt/dx[1];
const Real dzinv = 1.0_rt/dx[2];
const Box& xbx = amrex::grow(amrex::surroundingNodes(bx,0),1);
AMREX_HOST_DEVICE_FOR_3D ( xbx, i, j, k,
{
if (fx(i,j,k) == Type::regular) {
apx(i,j,k) = 1.0_rt;
fcx(i,j,k,0) = 0.0_rt;
fcx(i,j,k,1) = 0.0_rt;
m2x(i,j,k,0) = (1.0_rt/12._rt);
m2x(i,j,k,1) = (1.0_rt/12._rt);
m2x(i,j,k,2) = 0.0_rt;
} else if (fx(i,j,k) == Type::covered) {
apx(i,j,k) = 0.0_rt;
fcx(i,j,k,0) = 0.0_rt;
fcx(i,j,k,1) = 0.0_rt;
m2x(i,j,k,0) = 0.0_rt;
m2x(i,j,k,1) = 0.0_rt;
m2x(i,j,k,2) = 0.0_rt;
} else {
int ncuts = 0;
Real bcy = 0.0_rt;
Real bcz = 0.0_rt;
Real lym;
if (ey(i,j,k) == Type::regular) {
lym = 1.0_rt;
} else if (ey(i,j,k) == Type::covered) {
lym = 0.0_rt;
} else {
++ncuts;
Real cut = (intery(i,j,k)-(problo[1]+j*dx[1]))*dyinv;
bcy += cut;
lym = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
lym = amrex::min(amrex::max(Real(0.0),lym),Real(1.0));
}
Real lyp;
if (ey(i,j,k+1) == Type::regular) {
lyp = 1.0_rt;
} else if (ey(i,j,k+1) == Type::covered) {
lyp = 0.0_rt;
} else {
++ncuts;
Real cut = (intery(i,j,k+1)-(problo[1]+j*dx[1]))*dyinv;
bcy += cut;
bcz += 1.0_rt;
lyp = (levset(i,j,k+1) < 0.0_rt) ? cut : 1.0_rt-cut;
lyp = amrex::min(amrex::max(Real(0.0),lyp),Real(1.0));
}
Real lzm;
if (ez(i,j,k) == Type::regular) {
lzm = 1.0_rt;
} else if (ez(i,j,k) == Type::covered) {
lzm = 0.0_rt;
} else {
++ncuts;
Real cut = (interz(i,j,k)-(problo[2]+k*dx[2]))*dzinv;
bcz += cut;
lzm = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
lzm = amrex::min(amrex::max(Real(0.0),lzm),Real(1.0));
}
Real lzp;
if (ez(i,j+1,k) == Type::regular) {
lzp = 1.0_rt;
} else if (ez(i,j+1,k) == Type::covered) {
lzp = 0.0_rt;
} else {
++ncuts;
Real cut = (interz(i,j+1,k)-(problo[2]+k*dx[2]))*dzinv;
bcy += 1.0_rt;
bcz += cut;
lzp = (levset(i,j+1,k) < 0.0_rt) ? cut : 1.0_rt-cut;
}
if (ncuts > 2) {
Gpu::Atomic::Add(dp,1);
}
if ((ncuts > 2) || (lym <= small && lyp <= small && lzm <= small && lzp <= small)) {
apx(i,j,k) = 0.0_rt;
fcx(i,j,k,0) = 0.0_rt;
fcx(i,j,k,1) = 0.0_rt;
m2x(i,j,k,0) = 0.0_rt;
m2x(i,j,k,1) = 0.0_rt;
m2x(i,j,k,2) = 0.0_rt;
} else if (lym == lyp && lzm == lzp) {
apx(i,j,k) = 1.0_rt;
fcx(i,j,k,0) = 0.0_rt;
fcx(i,j,k,1) = 0.0_rt;
m2x(i,j,k,0) = (1.0_rt/12._rt);
m2x(i,j,k,1) = (1.0_rt/12._rt);
m2x(i,j,k,2) = 0.0_rt;
} else {
bcy = 0.5_rt*bcy - 0.5_rt;
bcz = 0.5_rt*bcz - 0.5_rt;
cut_face_2d(apx(i,j,k),fcx(i,j,k,0),fcx(i,j,k,1),
m2x(i,j,k,0),m2x(i,j,k,1),m2x(i,j,k,2),
lzm,lzp,lym,lyp,bcy,bcz);
}
if (apx(i,j,k) == 0.0_rt) {
fx(i,j,k) = Type::covered;
} else if (apx(i,j,k) == 1.0_rt) {
fx(i,j,k) = Type::regular;
}
}
});
const Box& ybx = amrex::grow(amrex::surroundingNodes(bx,1),1);
AMREX_HOST_DEVICE_FOR_3D ( ybx, i, j, k,
{
if (fy(i,j,k) == Type::regular) {
apy(i,j,k) = 1.0_rt;
fcy(i,j,k,0) = 0.0_rt;
fcy(i,j,k,1) = 0.0_rt;
m2y(i,j,k,0) = 1.0_rt/12._rt;
m2y(i,j,k,1) = 1.0_rt/12._rt;
m2y(i,j,k,2) = 0.0_rt;
} else if (fy(i,j,k) == Type::covered) {
apy(i,j,k) = 0.0_rt;
fcy(i,j,k,0) = 0.0_rt;
fcy(i,j,k,1) = 0.0_rt;
m2y(i,j,k,0) = 0.0_rt;
m2y(i,j,k,1) = 0.0_rt;
m2y(i,j,k,2) = 0.0_rt;
} else {
int ncuts = 0;
Real bcx = 0.0_rt;
Real bcz = 0.0_rt;
Real lxm;
if (ex(i,j,k) == Type::regular) {
lxm = 1.0_rt;
} else if (ex(i,j,k) == Type::covered) {
lxm = 0.0_rt;
} else {
++ncuts;
Real cut = (interx(i,j,k)-(problo[0]+i*dx[0]))*dxinv;
bcx += cut;
lxm = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
lxm = amrex::min(amrex::max(Real(0.0),lxm),Real(1.0));
}
Real lxp;
if (ex(i,j,k+1) == Type::regular) {
lxp = 1.0_rt;
} else if (ex(i,j,k+1) == Type::covered) {
lxp = 0.0_rt;
} else {
++ncuts;
Real cut = (interx(i,j,k+1)-(problo[0]+i*dx[0]))*dxinv;
bcx += cut;
bcz += 1.0_rt;
lxp = (levset(i,j,k+1) < 0.0_rt) ? cut : 1.0_rt-cut;
lxp = amrex::min(amrex::max(Real(0.0),lxp),Real(1.0));
}
Real lzm;
if (ez(i,j,k) == Type::regular) {
lzm = 1.0_rt;
} else if (ez(i,j,k) == Type::covered) {
lzm = 0.0_rt;
} else {
++ncuts;
Real cut = (interz(i,j,k)-(problo[2]+k*dx[2]))*dzinv;
bcz += cut;
lzm = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
}
Real lzp;
if (ez(i+1,j,k) == Type::regular) {
lzp = 1.0_rt;
} else if (ez(i+1,j,k) == Type::covered) {
lzp = 0.0_rt;
} else {
++ncuts;
Real cut = (interz(i+1,j,k)-(problo[2]+k*dx[2]))*dzinv;
bcx += 1.0_rt;
bcz += cut;
lzp = (levset(i+1,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
}
if (ncuts > 2) {
Gpu::Atomic::Add(dp,1);
}
if ((ncuts > 2) || (lxm <= small && lxp <= small && lzm <= small && lzp <= small)) {
apy(i,j,k) = 0.0_rt;
fcy(i,j,k,0) = 0.0_rt;
fcy(i,j,k,1) = 0.0_rt;
m2y(i,j,k,0) = 0.0_rt;
m2y(i,j,k,1) = 0.0_rt;
m2y(i,j,k,2) = 0.0_rt;
} else if (lxm == lxp && lzm == lzp) {
apy(i,j,k) = 1.0_rt;
fcy(i,j,k,0) = 0.0_rt;
fcy(i,j,k,1) = 0.0_rt;
m2y(i,j,k,0) = 1.0_rt/12._rt;
m2y(i,j,k,1) = 1.0_rt/12._rt;
m2y(i,j,k,2) = 0.0_rt;
} else {
bcx = 0.5_rt*bcx - 0.5_rt;
bcz = 0.5_rt*bcz - 0.5_rt;
cut_face_2d(apy(i,j,k),fcy(i,j,k,0),fcy(i,j,k,1),
m2y(i,j,k,0),m2y(i,j,k,1),m2y(i,j,k,2),
lzm,lzp,lxm,lxp,bcx,bcz);
}
if (apy(i,j,k) == 0.0_rt) {
fy(i,j,k) = Type::covered;
} else if (apy(i,j,k) == 1.0_rt) {
fy(i,j,k) = Type::regular;
}
}
});
const Box& zbx = amrex::grow(amrex::surroundingNodes(bx,2),1);
AMREX_HOST_DEVICE_FOR_3D ( zbx, i, j, k,
{
if (fz(i,j,k) == Type::regular) {
apz(i,j,k) = 1.0_rt;
fcz(i,j,k,0) = 0.0_rt;
fcz(i,j,k,1) = 0.0_rt;
m2z(i,j,k,0) = 1.0_rt/12._rt;
m2z(i,j,k,1) = 1.0_rt/12._rt;
m2z(i,j,k,2) = 0.0_rt;
} else if (fz(i,j,k) == Type::covered) {
apz(i,j,k) = 0.0_rt;
fcz(i,j,k,0) = 0.0_rt;
fcz(i,j,k,1) = 0.0_rt;
m2z(i,j,k,0) = 0.0_rt;
m2z(i,j,k,1) = 0.0_rt;
m2z(i,j,k,2) = 0.0_rt;
} else {
int ncuts = 0;
Real bcx = 0.0_rt;
Real bcy = 0.0_rt;
Real lxm;
if (ex(i,j,k) == Type::regular) {
lxm = 1.0_rt;
} else if (ex(i,j,k) == Type::covered) {
lxm = 0.0_rt;
} else {
++ncuts;
Real cut = (interx(i,j,k)-(problo[0]+i*dx[0]))*dxinv;
bcx += cut;
lxm = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
lxm = amrex::min(amrex::max(Real(0.0),lxm),Real(1.0));
}
Real lxp;
if (ex(i,j+1,k) == Type::regular) {
lxp = 1.0_rt;
} else if (ex(i,j+1,k) == Type::covered) {
lxp = 0.0_rt;
} else {
++ncuts;
Real cut = (interx(i,j+1,k)-(problo[0]+i*dx[0]))*dxinv;
bcx += cut;
bcy += 1.0_rt;
lxp = (levset(i,j+1,k) < 0.0_rt) ? cut : 1.0_rt-cut;
lxp = amrex::min(amrex::max(Real(0.0),lxp),Real(1.0));
}
Real lym;
if (ey(i,j,k) == Type::regular) {
lym = 1.0_rt;
} else if (ey(i,j,k) == Type::covered) {
lym = 0.0_rt;
} else {
++ncuts;
Real cut = (intery(i,j,k)-(problo[1]+j*dx[1]))*dyinv;
bcy += cut;
lym = (levset(i,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
}
Real lyp;
if (ey(i+1,j,k) == Type::regular) {
lyp = 1.0_rt;
} else if (ey(i+1,j,k) == Type::covered) {
lyp = 0.0_rt;
} else {
++ncuts;
Real cut = (intery(i+1,j,k)-(problo[1]+j*dx[1]))*dyinv;
bcx += 1.0_rt;
bcy += cut;
lyp = (levset(i+1,j,k) < 0.0_rt) ? cut : 1.0_rt-cut;
}
if (ncuts > 2) {
Gpu::Atomic::Add(dp,1);
}
if ((ncuts > 2) || (lxm <= small && lxp <= small && lym <= small && lyp <= small)) {
apz(i,j,k) = 0.0_rt;
fcz(i,j,k,0) = 0.0_rt;
fcz(i,j,k,1) = 0.0_rt;
m2z(i,j,k,0) = 0.0_rt;
m2z(i,j,k,1) = 0.0_rt;
m2z(i,j,k,2) = 0.0_rt;
} else if (lxm == lxp && lym == lyp) {
apz(i,j,k) = 1.0_rt;
fcz(i,j,k,0) = 0.0_rt;
fcz(i,j,k,1) = 0.0_rt;
m2z(i,j,k,0) = 1.0_rt/12._rt;
m2z(i,j,k,1) = 1.0_rt/12._rt;
m2z(i,j,k,2) = 0.0_rt;
} else {
bcx = 0.5_rt*bcx - 0.5_rt;
bcy = 0.5_rt*bcy - 0.5_rt;
cut_face_2d(apz(i,j,k),fcz(i,j,k,0),fcz(i,j,k,1),
m2z(i,j,k,0),m2z(i,j,k,1),m2z(i,j,k,2),
lym,lyp,lxm,lxp,bcx,bcy);
}
if (apz(i,j,k) == 0.0_rt) {
fz(i,j,k) = Type::covered;
} else if (apz(i,j,k) == 1.0_rt) {
fz(i,j,k) = Type::regular;
}
}
});
const Box& bxg1 = amrex::grow(bx,1);
AMREX_HOST_DEVICE_FOR_3D ( bxg1, i, j, k,
{
if (cell(i,j,k).isSingleValued()) {
if (fx(i,j,k) == Type::covered && fx(i+1,j,k) == Type::covered &&
fy(i,j,k) == Type::covered && fy(i,j+1,k) == Type::covered &&
fz(i,j,k) == Type::covered && fz(i,j,k+1) == Type::covered)
{
cell(i,j,k).setCovered();
}
else if (fx(i,j,k) == Type::regular && fx(i+1,j,k) == Type::regular &&
fy(i,j,k) == Type::regular && fy(i,j+1,k) == Type::regular &&
fz(i,j,k) == Type::regular && fz(i,j,k+1) == Type::regular)
{
cell(i,j,k).setRegular();
}
}
});
nmulticuts.copyToHost();
if (*hp > 0) {
if (cover_multiple_cuts) {
Box const& nbxg1 = amrex::surroundingNodes(bxg1);
AMREX_HOST_DEVICE_FOR_3D(nbxg1, i, j, k,
{
if (levset(i,j,k) < Real(0.0)) {
bool zero_levset = false;
if (xbx.contains(i ,j-1,k-1)
&& fx(i ,j-1,k-1) == Type::covered) {
zero_levset = true;
} else if (xbx.contains(i ,j ,k-1)
&& fx(i ,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (xbx.contains(i ,j-1,k )
&& fx(i ,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (xbx.contains(i ,j ,k )
&& fx(i ,j ,k ) == Type::covered) {
zero_levset = true;
} else if (ybx.contains(i-1,j ,k-1)
&& fy(i-1,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (ybx.contains(i ,j ,k-1)
&& fy(i ,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (ybx.contains(i-1,j ,k )
&& fy(i-1,j ,k ) == Type::covered) {
zero_levset = true;
} else if (ybx.contains(i ,j ,k )
&& fy(i ,j ,k ) == Type::covered) {
zero_levset = true;
} else if (zbx.contains(i-1,j-1,k )
&& fz(i-1,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (zbx.contains(i ,j-1,k )
&& fz(i ,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (zbx.contains(i-1,j ,k )
&& fz(i-1,j ,k ) == Type::covered) {
zero_levset = true;
} else if (zbx.contains(i ,j ,k )
&& fz(i ,j ,k ) == Type::covered) {
zero_levset = true;
}
if (zero_levset) {
levset(i,j,k) = Real(0.0);
}
}
});
} else {
amrex::Abort("amrex::EB2::build_faces: more than 2 cuts not supported");
}
}
return *hp;
}
void build_cells (Box const& bx, Array4<EBCellFlag> const& cell,
Array4<Type_t> const& fx, Array4<Type_t> const& fy,
Array4<Type_t> const& fz, Array4<Real> const& apx,
Array4<Real> const& apy, Array4<Real> const& apz,
Array4<Real const> const& fcx, Array4<Real const> const& fcy,
Array4<Real const> const& fcz, Array4<Real const> const& m2x,
Array4<Real const> const& m2y, Array4<Real const> const& m2z,
Array4<Real> const& vfrac, Array4<Real> const& vcent,
Array4<Real> const& barea, Array4<Real> const& bcent,
Array4<Real> const& bnorm, Array4<EBCellFlag> const& ctmp,
Array4<Real> const& levset, Real small_volfrac, Geometry const& geom,
bool extend_domain_face, bool cover_multiple_cuts,
int& nsmallcells, int& nmulticuts) noexcept
{
Gpu::Buffer<int> n_smallcell_multicuts = {0,0};
int* hp = n_smallcell_multicuts.hostData();
int* dp = n_smallcell_multicuts.data();
const Box& bxg1 = amrex::grow(bx,1);
AMREX_HOST_DEVICE_PARALLEL_FOR_3D(bxg1, i, j, k,
{
bool is_small_cell = false;
bool is_multicut = false;
set_eb_cell(i, j, k, cell, apx, apy, apz, fcx, fcy, fcz, m2x, m2y, m2z,
vfrac, vcent, barea, bcent, bnorm, small_volfrac,
is_small_cell, is_multicut);
if (is_small_cell) {
Gpu::Atomic::Add(dp, 1);
}
if (is_multicut) {
Gpu::Atomic::Add(dp+1, 1);
}
});
// set cells in the extended region to covered if the
// corresponding cell on the domain face is covered
if(extend_domain_face) {
Box gdomain = geom.Domain();
for (int idim = 0; idim < AMREX_SPACEDIM; ++idim) {
if (geom.isPeriodic(idim)) {
gdomain.setSmall(idim, std::min(gdomain.smallEnd(idim), bxg1.smallEnd(idim)));
gdomain.setBig(idim, std::max(gdomain.bigEnd(idim), bxg1.bigEnd(idim)));
}
}
if (! gdomain.contains(bxg1)) {
AMREX_HOST_DEVICE_FOR_3D ( bxg1, i, j, k,
{
const auto & dlo = gdomain.loVect();
const auto & dhi = gdomain.hiVect();
// find the cell(ii,jj,kk) on the corr. domain face
// this would have already been set to correct value
bool in_extended_domain = false;
int ii = i;
int jj = j;
int kk = k;
if(i < dlo[0]) {
in_extended_domain = true;
ii = dlo[0];
}
else if(i > dhi[0]) {
in_extended_domain = true;
ii = dhi[0];
}
if(j < dlo[1]) {
in_extended_domain = true;
jj = dlo[1];
}
else if(j > dhi[1]) {
in_extended_domain = true;
jj = dhi[1];
}
if(k < dlo[2]) {
in_extended_domain = true;
kk = dlo[2];
}
else if(k > dhi[2]) {
in_extended_domain = true;
kk = dhi[2];
}
// set cell in extendable region to covered if necessary
if( in_extended_domain && (! cell(i,j,k).isCovered())
&& cell(ii,jj,kk).isCovered() )
{
Gpu::Atomic::Add(dp, 1);
set_covered(i,j,k,cell,vfrac,vcent,barea,bcent,bnorm);
}
});
}
}
n_smallcell_multicuts.copyToHost();
nsmallcells += hp[0];
nmulticuts += hp[1];
Box const& nbxg1 = amrex::surroundingNodes(bxg1);
Box const& bxg1x = amrex::surroundingNodes(bxg1,0);
Box const& bxg1y = amrex::surroundingNodes(bxg1,1);
Box const& bxg1z = amrex::surroundingNodes(bxg1,2);
AMREX_HOST_DEVICE_FOR_3D(nbxg1, i, j, k,
{
if (levset(i,j,k) < Real(0.0)) {
bool zero_levset = false;
if (bxg1.contains(i-1,j-1,k-1)
&& cell(i-1,j-1,k-1).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i ,j-1,k-1)
&& cell(i ,j-1,k-1).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i-1,j ,k-1)
&& cell(i-1,j ,k-1).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i ,j ,k-1)
&& cell(i ,j ,k-1).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i-1,j-1,k )
&& cell(i-1,j-1,k ).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i ,j-1,k )
&& cell(i ,j-1,k ).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i-1,j ,k )
&& cell(i-1,j ,k ).isCovered()) {
zero_levset = true;
} else if (bxg1.contains(i ,j ,k )
&& cell(i ,j ,k ).isCovered()) {
zero_levset = true;
} else if (bxg1x.contains(i ,j-1,k-1)
&& fx(i ,j-1,k-1) == Type::covered) {
zero_levset = true;
} else if (bxg1x.contains(i ,j ,k-1)
&& fx(i ,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (bxg1x.contains(i ,j-1,k )
&& fx(i ,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1x.contains(i ,j ,k )
&& fx(i ,j ,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1y.contains(i-1,j ,k-1)
&& fy(i-1,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (bxg1y.contains(i ,j ,k-1)
&& fy(i ,j ,k-1) == Type::covered) {
zero_levset = true;
} else if (bxg1y.contains(i-1,j ,k )
&& fy(i-1,j ,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1y.contains(i ,j ,k )
&& fy(i ,j ,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1z.contains(i-1,j-1,k )
&& fz(i-1,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1z.contains(i ,j-1,k )
&& fz(i ,j-1,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1z.contains(i-1,j ,k )
&& fz(i-1,j ,k ) == Type::covered) {
zero_levset = true;
} else if (bxg1z.contains(i ,j ,k )
&& fz(i ,j ,k ) == Type::covered) {
zero_levset = true;
}
if (zero_levset) {
levset(i,j,k) = Real(0.0);
}
}
});
if (nsmallcells > 0 || nmulticuts > 0) {
if (!cover_multiple_cuts && nmulticuts > 0) {
amrex::Abort("amrex::EB2::build_cells: multi-cuts not supported");
}
return;
} else {
set_connection_flags(bx, bxg1, cell, ctmp, fx, fy, fz);
}
}
void set_connection_flags (Box const& bx,
Box const& bxg1, Array4<EBCellFlag> const& cell,
Array4<EBCellFlag> const& ctmp, Array4<Type_t> const& fx,
Array4<Type_t> const& fy, Array4<Type_t> const& fz) noexcept
{
// Build neighbors. By default all 26 neighbors are already set.
AMREX_HOST_DEVICE_FOR_3D ( bxg1, i, j, k,
{
if (cell(i,j,k).isCovered()) {
cell(i,j,k).setDisconnected();
} else {
auto flg = cell(i,j,k);
if (fx(i,j,k) == Type::covered) {
flg.setDisconnected(-1,0,0);
}
if (fx(i+1,j,k) == Type::covered) {
flg.setDisconnected(1,0,0);
}
if (fy(i,j,k) == Type::covered) {
flg.setDisconnected(0,-1,0);
}
if (fy(i,j+1,k) == Type::covered) {
flg.setDisconnected(0,1,0);
}
if (fz(i,j,k) == Type::covered) {
flg.setDisconnected(0,0,-1);
}
if (fz(i,j,k+1) == Type::covered) {
flg.setDisconnected(0,0,1);
}
// x-y
if ((fx(i,j,k) == Type::covered || fy(i-1,j,k) == Type::covered) &&