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scheme_kernel.inc
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/**
* Copyright 2019 United Kingdom Research and Innovation
*
* Authors: See AUTHORS
*
* Contact: [[email protected] and/or [email protected]]
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright notice
* this list of conditions and the following disclaimer in the documentation
* and or other materials provided with the distribution.
* 3. Neither the name of the copyright holder nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* ANDANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*/
/*！ @brief Define kernels for numerical schemes.
* @author Jianping Meng
* @details Including various space and time scheme.
* For the stream-collision, we plan only to support the standard lattice,
* That is the speed is only 1, not multi-speed lattice
* For the finite-difference scheme, only the cut-cell mesh technique is
* supported currently
**/
#ifndef SCHEME_KERNEL_INC
#define SCHEME_KERNEL_INC
#include "ops_lib_core.h"
#ifdef OPS_MPI
#include "ops_mpi_core.h"
#endif
#include "boundary.h"
#include "model.h"
#ifdef OPS_2D // two dimensional code
void KerStream(ACC<Real>&f, const ACC<Real>&fStage, const ACC<int>&nodeType,
const ACC<int>&geometry, const int *lattIdx) {
#ifdef OPS_2D
VertexType vt = (VertexType)nodeType(0, 0);
VertexGeometryType vg = (VertexGeometryType)geometry(0, 0);
for (int xiIndex = lattIdx[0]; xiIndex <= lattIdx[1]; xiIndex++) {
int cx = (int)XI[xiIndex * LATTDIM];
int cy = (int)XI[xiIndex * LATTDIM + 1];
if (vt == VertexType::Fluid || vt == VertexType::MDPeriodic ||
vt == VertexType::VirtualBoundary) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
continue;
}
// Block boundary and immersed boundary
if (vt != VertexType::ImmersedSolid && vt != VertexType::Fluid &&
vt != VertexType::VirtualBoundary && vt != VertexType::MDPeriodic) {
// this is reserved in case some boundary conditions
// might not allow stream
bool streamRequired{true};
if (streamRequired) {
if ((cx == 0) && (cy == 0)) {
f(xiIndex, 0, 0) = fStage(xiIndex, 0, 0);
continue;
}
}
switch (vg) {
case VG_IP:
// (cx=0 means stream is implemented at i=0,so here we
// disable the step at boundary)
if (streamRequired) {
if (cx <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cx < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IM:
if (streamRequired) {
if (cx >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cx > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_JP:
if (streamRequired) {
if (cy <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_JM:
if (streamRequired) {
if (cy >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IPJP_I:
if (streamRequired) {
if (cy <= 0 && cx <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy < 0 && cx < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IPJM_I:
if (streamRequired) {
if (cy >= 0 && cx <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy > 0 && cx < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IMJP_I:
if (streamRequired) {
if (cy <= 0 && cx >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy < 0 && cx > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IMJM_I:
if (streamRequired) {
if (cy >= 0 && cx >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy > 0 && cx > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IPJP_O:
if (streamRequired) {
if (cy <= 0 || cx <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy < 0 || cx < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IPJM_O:
if (streamRequired) {
if (cy >= 0 || cx <= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy > 0 || cx < 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IMJP_O:
if (streamRequired) {
if (cy <= 0 || cx >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy < 0 || cx > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
case VG_IMJM_O:
if (streamRequired) {
if (cy >= 0 || cx >= 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
} else {
if (cy > 0 || cx > 0) {
f(xiIndex, 0, 0) = fStage(xiIndex, -cx, -cy);
}
}
break;
default:
break;
}
}
}
#endif // OPS_2D
}
// void KerCutCellCVTUpwind1st(const ACC<Real>& coordinateXYZ,
// const ACC<int>& nodeType, const ACC<int>&
// geometry, const ACC<Real>& f, ACC<Real>&
// fGradient) {
// #ifdef OPS_2D
// VertexType vt = (VertexType)nodeType(0, 0);
// VertexGeometryTypes vg = (VertexGeometryTypes)geometry(0, 0);
// for (int compoIndex = 0; compoIndex < NUMCOMPONENTS; compoIndex++) {
// for (int xiIndex = COMPOINDEX[2 * compoIndex];
// xiIndex <= COMPOINDEX[2 * compoIndex + 1]; xiIndex++) {
// Real cx{XI[xiIndex * LATTDIM]};
// Real cy{XI[xiIndex * LATTDIM + 1]};
// // setting a initial value
// fGradient(xiIndex, 0, 0) = 0;
// // make sure no calculation occurring at boundary when
// unnecessary
// // this can avoid access undefined memory if the halo point is
// set
// // incorrectly
// bool needCalc{true};
// if (vt == VertexType::ImmersedSolid) {
// needCalc = false;
// }
// // Block and immersed boundary nodes
// if (vt != VertexType::ImmersedSolid && vt != VertexType::Fluid) {
// switch (vg) {
// case VG_IP:
// if (cx > 0) {
// needCalc = false;
// }
// break;
// case VG_IM:
// if (cx < 0) {
// needCalc = false;
// }
// break;
// case VG_JP:
// if (cy > 0) {
// needCalc = false;
// }
// break;
// case VG_JM:
// if (cy < 0) {
// needCalc = false;
// }
// break;
// case VG_IPJP_I:
// if (cy > 0 || cx > 0) {
// needCalc = false;
// }
// break;
// case VG_IPJM_I:
// if (cy < 0 || cx > 0) {
// needCalc = false;
// }
// break;
// case VG_IMJP_I:
// if (cy > 0 || cx < 0) {
// needCalc = false;
// }
// break;
// case VG_IMJM_I:
// if (cy < 0 || cx < 0) {
// needCalc = false;
// }
// break;
// // It appears that the information is well defined for
// the
// // outer corners
// // which is quite different from the inner corners
// case VG_IPJP_O:
// if (cy >= 0 && cx >= 0) {
// needCalc = false;
// }
// break;
// case VG_IPJM_O:
// if (cy <= 0 && cx >= 0) {
// needCalc = false;
// }
// break;
// case VG_IMJP_O:
// if (cy >= 0 && cx <= 0) {
// needCalc = false;
// }
// break;
// case VG_IMJM_O:
// if (cy <= 0 && cx <= 0) {
// needCalc = false;
// }
// break;
// default:
// break;
// }
// }
// if (needCalc) {
// if (cx > 0) {
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// ((f(xiIndex, 0, 0) - f(xiIndex, -1, 0)) /
// (coordinateXYZ(0, 0, 0) - coordinateXYZ(0, -1, 0)));
// }
// if (cx < 0) {
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// ((f(xiIndex, 1, 0) - f(xiIndex, 0, 0)) /
// (coordinateXYZ(0, 1, 0) - coordinateXYZ(0, 0, 0)));
// }
// if (cy > 0) {
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// ((f(xiIndex, 0, 0) - f(xiIndex, 0, -1)) /
// (coordinateXYZ(1, 0, 0) - coordinateXYZ(1, 0, -1)));
// }
// if (cy < 0) {
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// ((f(xiIndex, 0, 1) - f(xiIndex, 0, 0)) /
// (coordinateXYZ(1, 0, 1) - coordinateXYZ(1, 0, 0)));
// }
// }
// }
// }
// #endif // OPS_2D
// }
// void KerCutCellCVTUpwind2nd(const ACC<Real>& coordinateXYZ,
// const ACC<int> nodeType, const ACC<int>&
// geometry, const ACC<Real>& f, ACC<Real>&
// fGradient) {
// #ifdef OPS_2D
// VertexType vt = (VertexType)nodeType(0, 0);
// VertexGeometryTypes vg = (VertexGeometryTypes)geometry(0, 0);
// for (int compoIndex = 0; compoIndex < NUMCOMPONENTS; compoIndex++) {
// for (int xiIndex = COMPOINDEX[2 * compoIndex];
// xiIndex <= COMPOINDEX[2 * compoIndex + 1]; xiIndex++) {
// Real cx{XI[xiIndex * LATTDIM]};
// Real cy{XI[xiIndex * LATTDIM + 1]};
// bool reduceOrderX{false};
// bool reduceOrderY{false};
// bool needCalc{true};
// // setting a initial value
// fGradient(xiIndex, 0, 0) = 0;
// if (vt == VertexType::ImmersedSolid) {
// needCalc = false;
// }
// // make sure no calculation occurring at boundary when
// unnecessary
// // this can avoid access undefined memory if the halo point is
// set
// // incorrectly
// if (vt == VertexType::Fluid) {
// // current node is a fluid point
// if (cx > 0) {
// VertexType vtUpwind = (VertexType)nodeType(-1, 0);
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (vtUpwind != VertexType::Fluid && vgUpwind == VG_IP) {
// // if the upwind node is boundary and VG_IP point
// reduceOrderX = true;
// }
// } // cx >0
// if (cx < 0) {
// VertexType vtUpwind = (VertexType)nodeType(1, 0);
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (vtUpwind != VertexType::Fluid && vgUpwind == VG_IM) {
// // if the upwind node is boundary and VG_IM point
// reduceOrderX = true;
// }
// } // Cx<0
// if (cy > 0) {
// VertexType vtUpwind = (VertexType)nodeType(0, -1);
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, -1);
// if (vtUpwind != VertexType::Fluid && vgUpwind == VG_JP) {
// reduceOrderY = true;
// }
// } // cy >0
// if (cy < 0) {
// VertexType vtUpwind = (VertexType)nodeType(0, 1);
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, 1);
// if (vtUpwind != VertexType::Fluid && vgUpwind == VG_JM) {
// reduceOrderY = true;
// }
// } // cy < 0
// } // current node is a fluid point
// // Current node is a boundary node or a immersed boundary node
// if (vt != VertexType::Fluid && vt != VertexType::ImmersedSolid) {
// switch (vg) {
// case VG_IP:
// if (cx > 0) {
// needCalc = false;
// } else {
// if (cy > 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, -1);
// if (((vgUpwind == VG_IPJM_O ||
// vgUpwind == VG_IPJP_O) &&
// (((VertexType)nodeType(0, -2)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IPJM_I) ||
// (vgUpwind == VG_IPJP_I)) {
// reduceOrderY = true;
// }
// } // cy > 0 VG_IP
// if (cy < 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, 1);
// if (((vgUpwind == VG_IPJM_O ||
// vgUpwind == VG_IPJP_O) &&
// (((VertexType)nodeType(0, 2)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IPJM_I) ||
// (vgUpwind == VG_IPJP_I)) {
// reduceOrderY = true;
// }
// } // Cy < 0 VG_IP
// }
// break;
// case VG_IM:
// if (cx < 0) {
// needCalc = false;
// } else {
// if (cy > 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, -1);
// if (((vgUpwind == VG_IMJM_O ||
// vgUpwind == VG_IMJP_O) &&
// (((VertexType)nodeType(0, -2)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJM_I) ||
// (vgUpwind == VG_IMJP_I)) {
// reduceOrderY = true;
// }
// } // cy > 0 VG_IM
// if (cy < 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(0, 1);
// if (((vgUpwind == VG_IMJM_O ||
// vgUpwind == VG_IMJP_O) &&
// (((VertexType)nodeType(0, 2)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJM_I) ||
// (vgUpwind == VG_IMJP_I)) {
// reduceOrderY = true;
// }
// } // cy < 0 VG_IM
// }
// break;
// case VG_JP:
// if (cy > 0) {
// needCalc = false;
// } else {
// if (cx > 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (((vgUpwind == VG_IMJP_O ||
// vgUpwind == VG_IPJP_O) &&
// (((VertexType)nodeType(-2, 0)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJP_I) ||
// (vgUpwind == VG_IPJP_I)) {
// reduceOrderX = true;
// }
// } // cx > 0 VG_JP
// if (cx < 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (((vgUpwind == VG_IMJP_O ||
// vgUpwind == VG_IPJP_O) &&
// (((VertexType)nodeType(2, 0)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJP_I) ||
// (vgUpwind == VG_IPJP_I)) {
// reduceOrderX = true;
// }
// } // cx <0 VG_JP
// }
// break;
// case VG_JM:
// if (cy < 0) {
// needCalc = false;
// } else {
// if (cx > 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (((vgUpwind == VG_IMJM_O ||
// vgUpwind == VG_IPJM_O) &&
// (((VertexType)nodeType(-2, 0)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJM_I) ||
// (vgUpwind == VG_IPJM_I)) {
// reduceOrderX = true;
// }
// } // cx > 0 VG_JM
// if (cx < 0) {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (((vgUpwind == VG_IPJM_O ||
// vgUpwind == VG_IMJM_O) &&
// (((VertexType)nodeType(2, 0)) ==
// VertexType::ImmersedSolid)) ||
// (vgUpwind == VG_IMJM_I) ||
// (vgUpwind == VG_IPJM_I)) {
// reduceOrderX = true;
// }
// } // cx > 0 VG_JM
// }
// break;
// case VG_IPJP_I:
// if (cy > 0 || cx > 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (vgUpwind == VG_IMJP_I) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, 1);
// if (vgUpwind == VG_IPJM_I) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IPJM_I:
// if (cy < 0 || cx > 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (vgUpwind == VG_IMJM_I) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, -1);
// if (vgUpwind == VG_IPJP_I) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IMJP_I:
// if (cy > 0 || cx < 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (vgUpwind == VG_IPJP_I) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, 1);
// if (vgUpwind == VG_IMJM_I) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IMJM_I:
// if (cy < 0 || cx < 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (vgUpwind == VG_IPJM_I) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, -1);
// if (vgUpwind == VG_IMJP_I) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IPJP_O:
// if (cy >= 0 && cx >= 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (vgUpwind == VG_IM) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, 1);
// if (vgUpwind == VG_JM) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IPJM_O:
// if (cy <= 0 && cx >= 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(1, 0);
// if (vgUpwind == VG_IM) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, -1);
// if (vgUpwind == VG_JP) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IMJP_O:
// if (cy >= 0 && cx <= 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (vgUpwind == VG_IP) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, 1);
// if (vgUpwind == VG_JM) {
// reduceOrderY = true;
// }
// }
// break;
// case VG_IMJM_O:
// if (cy <= 0 && cx <= 0) {
// needCalc = false;
// } else {
// VertexGeometryTypes vgUpwind =
// (VertexGeometryTypes)geometry(-1, 0);
// if (vgUpwind == VG_IP) {
// reduceOrderX = true;
// }
// vgUpwind = (VertexGeometryTypes)geometry(0, -1);
// if (vgUpwind == VG_JP) {
// reduceOrderY = true;
// }
// }
// break;
// default:
// break;
// }
// } // if the current node is a boundary node
// if (needCalc) {
// if (cx > 0) {
// if (reduceOrderX) {
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// ((f(xiIndex, 0, 0) - f(xiIndex, -1, 0)) /
// (coordinateXYZ(0, 0, 0) -
// coordinateXYZ(0, -1, 0)));
// } else {
// Real x_2{coordinateXYZ(0, -2, 0)};
// Real x_1{coordinateXYZ(0, -1, 0)};
// Real x_0{coordinateXYZ(0, 0, 0)};
// // ops_printf("x_2=%f x_1=%f x_0=%f\n",x_2,x_1,x_0);
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// (f(xiIndex, -2, 0) *
// (1 / (x_2 - x_0) - 1 / (x_2 - x_1)) +
// f(xiIndex, -1, 0) *
// (1 / (x_1 - x_0) - 1 / (x_1 - x_2)) +
// f(xiIndex, 0, 0) *
// (1 / (x_0 - x_1) + 1 / (x_0 - x_2)));
// }
// }
// if (cx < 0) {
// if (reduceOrderX) {
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// ((f(xiIndex, 1, 0) - f(xiIndex, 0, 0)) /
// (coordinateXYZ(0, 1, 0) - coordinateXYZ(0, 0,
// 0)));
// } else {
// Real xp2{coordinateXYZ(0, 2, 0)};
// Real xp1{coordinateXYZ(0, 1, 0)};
// Real x0{coordinateXYZ(0, 0, 0)};
// fGradient(xiIndex, 0, 0) +=
// CS * cx *
// (f(xiIndex, 0, 0) *
// (1 / (x0 - xp2) + 1 / (x0 - xp1)) +
// f(xiIndex, 1, 0) *
// (1 / (xp2 - xp1) + 1 / (xp1 - x0)) +
// f(xiIndex, 2, 0) *
// (1 / (xp2 - x0) + 1 / (xp1 - xp2)));
// }
// }
// if (cy > 0) {
// if (reduceOrderY) {
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// ((f(xiIndex, 0, 0) - f(xiIndex, 0, -1)) /
// (coordinateXYZ(1, 0, 0) -
// coordinateXYZ(1, 0, -1)));
// } else {
// Real y_2{coordinateXYZ(1, 0, -2)};
// Real y_1{coordinateXYZ(1, 0, -1)};
// Real y_0{coordinateXYZ(1, 0, 0)};
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// (f(xiIndex, 0, -2) *
// (1 / (y_2 - y_0) - 1 / (y_2 - y_1)) +
// f(xiIndex, 0, -1) *
// (1 / (y_1 - y_0) - 1 / (y_1 - y_2)) +
// f(xiIndex, 0, 0) *
// (1 / (y_0 - y_1) + 1 / (y_0 - y_2)));
// }
// }
// if (cy < 0) {
// if (reduceOrderY) {
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// ((f(xiIndex, 0, 1) - f(xiIndex, 0, 0)) /
// (coordinateXYZ(1, 0, 1) - coordinateXYZ(1, 0,
// 0)));
// } else {
// Real yp2{coordinateXYZ(1, 0, 2)};
// Real yp1{coordinateXYZ(1, 0, 1)};
// Real y0{coordinateXYZ(1, 0, 0)};
// fGradient(xiIndex, 0, 0) +=
// CS * cy *
// (f(xiIndex, 0, 0) *
// (1 / (y0 - yp2) + 1 / (y0 - yp1)) +
// f(xiIndex, 0, 1) *
// (1 / (yp2 - yp1) + 1 / (yp1 - y0)) +
// f(xiIndex, 0, 2) *
// (1 / (yp2 - y0) + 1 / (yp1 - yp2)));
// }
// }
// }
// }
// }
// #endif // OPS_2D
// }
// void KerCutCellSemiImplicitTimeMach(
// const Real* dt, const Real* schemeCoeff, const ACC<int>& nodeType,
// const ACC<int>& geometry, const ACC<Real>& fGradient, const ACC<Real>&
// feq, const ACC<Real>& relaxationTime, const ACC<Real>& bodyForce, Real*
// f) {
// #ifdef OPS_2D
// /*
// dt(0), schemeCoeff(1),nodeType(2),geometry(3), fGradient (4),
// feq(5),
// relaxationTime(6), bodyForce(7), f(8)
// */
// VertexType vt = (VertexType)nodeType(0, 0);
// VertexGeometryTypes vg = (VertexGeometryTypes)geometry(0, 0);
// for (int compoIndex = 0; compoIndex < NUMCOMPONENTS; compoIndex++) {
// Real tau = relaxationTime(compoIndex, 0, 0);
// for (int xiIndex = COMPOINDEX[2 * compoIndex];
// xiIndex <= COMPOINDEX[2 * compoIndex + 1]; xiIndex++) {
// Real cx{XI[xiIndex * LATTDIM]};
// Real cy{XI[xiIndex * LATTDIM + 1]};
// bool needMarch{true};
// if (vt == VertexType::ImmersedSolid) {
// needMarch = false;
// }
// // Block or immersed boundary
// if (vt != VertexType::ImmersedSolid && vt != VertexType::Fluid) {
// switch (vg) {
// case VG_IP:
// if (cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IM:
// if (cx < 0) {
// needMarch = false;
// }
// break;
// case VG_JP:
// if (cy > 0) {
// needMarch = false;
// }
// break;
// case VG_JM:
// if (cy < 0) {
// needMarch = false;
// }
// break;
// case VG_IPJP_I:
// if (cy > 0 || cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IPJM_I:
// if (cy < 0 || cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IMJP_I:
// if (cy > 0 || cx < 0) {
// needMarch = false;
// }
// break;
// case VG_IMJM_I:
// if (cy < 0 || cx < 0) {
// needMarch = false;
// }
// break;
// case VG_IPJP_O:
// if (cy >= 0 && cx >= 0) {
// needMarch = false;
// }
// break;
// case VG_IPJM_O:
// if (cy <= 0 && cx >= 0) {
// needMarch = false;
// }
// break;
// case VG_IMJP_O:
// if (cy >= 0 && cx <= 0) {
// needMarch = false;
// }
// break;
// case VG_IMJM_O:
// if (cy <= 0 && cx <= 0) {
// needMarch = false;
// }
// break;
// default:
// break;
// }
// }
// if (needMarch) {
// f(xiIndex, 0, 0) = (feq(xiIndex, 0, 0) * (*dt) +
// bodyForce(xiIndex, 0, 0) * (*dt) * tau -
// fGradient(xiIndex, 0, 0) * (*dt) * tau +
// f(xiIndex, 0, 0) * tau) /
// ((*dt) + tau);
// }
// }
// }
// #endif // OPS_2D
// }
// void KerCutCellExplicitTimeMach(
// const Real* dt, const Real* schemeCoeff, const ACC<int>& nodeType,
// const ACC<int>& geometry, const ACC<Real>& fGradient, const ACC<Real>&
// feq, const ACC<Real>& relaxationTime, const ACC<Real>& bodyForce,
// ACC<Real>& f) {
// #ifdef OPS_2D
// /*
// dt(0), schemeCoeff(1),nodeType(2),geometry(3), fGradient (4),
// feq(5),
// relaxationTime(6), bodyForce(7), f(8)
// */
// VertexType vt = (VertexType)nodeType(0, 0);
// VertexGeometryTypes vg = (VertexGeometryTypes)geometry(0, 0);
// for (int compoIndex = 0; compoIndex < NUMCOMPONENTS; compoIndex++) {
// Real tau = relaxationTime(compoIndex, 0, 0);
// for (int xiIndex = COMPOINDEX[2 * compoIndex];
// xiIndex <= COMPOINDEX[2 * compoIndex + 1]; xiIndex++) {
// Real cx{XI[xiIndex * LATTDIM]};
// Real cy{XI[xiIndex * LATTDIM + 1]};
// bool needMarch{true};
// if (vt == VertexType::ImmersedSolid) {
// needMarch = false;
// }
// // Block or immersed boundary
// if (vt != VertexType::ImmersedSolid && vt != VertexType::Fluid) {
// {
// switch (vg) {
// case VG_IP:
// if (cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IM:
// if (cx < 0) {
// needMarch = false;
// }
// break;
// case VG_JP:
// if (cy > 0) {
// needMarch = false;
// }
// break;
// case VG_JM:
// if (cy < 0) {
// needMarch = false;
// }
// break;
// case VG_IPJP_I:
// if (cy > 0 || cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IPJM_I:
// if (cy < 0 || cx > 0) {
// needMarch = false;
// }
// break;
// case VG_IMJP_I:
// if (cy > 0 || cx < 0) {
// needMarch = false;
// }
// break;
// case VG_IMJM_I:
// if (cy < 0 || cx < 0) {
// needMarch = false;
// }
// break;
// case VG_IPJP_O:
// if (cy >= 0 && cx >= 0) {
// needMarch = false;
// }
// break;
// case VG_IPJM_O:
// if (cy <= 0 && cx >= 0) {
// needMarch = false;
// }
// break;
// case VG_IMJP_O:
// if (cy >= 0 && cx <= 0) {
// needMarch = false;
// }
// break;
// case VG_IMJM_O:
// if (cy <= 0 && cx <= 0) {
// needMarch = false;
// }
// break;
// default:
// break;
// }
// }
// if (needMarch) {
// f(xiIndex, 0, 0) =
// f(xiIndex, 0, 0) +
// (*dt) * (*schemeCoeff) *
// (bodyForce(xiIndex, 0, 0) -
// fGradient(xiIndex, 0, 0) +
// (feq(xiIndex, 0, 0) - f(xiIndex, 0, 0)) / tau);
// }
// }
// }
// #endif // OPS_2D
// }
#endif // OPS_2D outter
#ifdef OPS_3D // three dimensional code
void KerStream3D(ACC<Real>& f, const ACC<Real>& fStage,
const ACC<int>& nodeType, const ACC<int>& geometry,
const int* lattIdx) {
#ifdef OPS_3D
VertexGeometryType vg = (VertexGeometryType)geometry(0, 0, 0);
VertexType vt = (VertexType)nodeType(0, 0, 0);
for (int xiIndex = lattIdx[0]; xiIndex <= lattIdx[1]; xiIndex++) {
int cx = (int)XI[xiIndex * LATTDIM];
int cy = (int)XI[xiIndex * LATTDIM + 1];
int cz = (int)XI[xiIndex * LATTDIM + 2];
if (vt == VertexType::Fluid || vt == VertexType::MDPeriodic ||
vt == VertexType::VirtualBoundary || vt == VertexType::Wall) {
f(xiIndex, 0, 0, 0) = fStage(xiIndex, -cx, -cy, -cz);
continue;
}
if (vt != VertexType::ImmersedSolid && vt != VertexType::Fluid &&
vt != VertexType::VirtualBoundary && vt != VertexType::MDPeriodic && vt != VertexType::Wall) {
bool streamRequired{true};
if (streamRequired) {
if ((cx == 0) && (cy == 0) && (cz == 0)) {
f(xiIndex, 0, 0, 0) = fStage(xiIndex, 0, 0, 0);
continue;
}
}
switch (vg) {
// faces six types
case VG_IP:
// (cx=0 means stream is implemented at i=0,so here we
// disable the step at boundary)
if (streamRequired) {
if (cx <= 0) {
f(xiIndex, 0, 0, 0) =
fStage(xiIndex, -cx, -cy, -cz);
}
} else {
if (cx < 0) {
f(xiIndex, 0, 0, 0) =
fStage(xiIndex, -cx, -cy, -cz);