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boundary_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 Kernel functions for boundary conditions
* @author Jianping Meng
* @details Defining kernel functions for various boundary conditions.
*/
// As we are using update-halo method for the discretisation,
// we need to deal with halo points when treating boundary
#ifndef BOUNDARY_KERNEL_INC
#define BOUNDARY_KERNEL_INC
#include "ops_lib_core.h"
#ifdef OPS_MPI
#include "ops_mpi_core.h"
#endif
#include "type.h"
#include "model.h"
#include "model_host_device.h"
#include "boundary.h"
#include "flowfield_host_device.h"
#include "boundary_host_device.h"
//TODO: It looks that g_GeometryProperty is not necessary in domain
// (block) boundary conditions
#ifdef OPS_2D// Boundary conditions for two-dimensional problems
// Need to be modified for ImmersedSolid
// void KerCutCellEmbeddedBoundary(const ACC<int> &nodeType,
// const ACC<int> &geometryProperty,
// ACC<Real> &f) {
// #ifdef OPS_2D
// /*!
// For the bounce back scheme,We consider zero velocity boundary first.
// To make sure the velocity at boundary is zero, the implementation
// is lattice specific.
// */
// VertexType vt = (VertexType)nodeType(0, 0);
// VertexGeometryTypes vg = (VertexGeometryTypes)geometryProperty(0, 0);
// // TODO to be changed for embeded boundary
// if (vt == VertexType::ImmersedBoundary) {
// switch (vt) {
// case Vertex_EQMDiffuseRefl: {
// Real u{0};
// Real v{0};
// const Real sqrt3 = sqrt(3);
// switch (vg) {
// case VG_IP: {
// const Real f3 = f(3, 0, 0);
// const Real f7 = f(7, 0, 0);
// const Real f6 = f(6, 0, 0);
// const Real rhow =
// 6 * (f3 + f6 + f7) / (u * u - sqrt3 * u + 1);
// f(5, 0, 0) = f7 + rhow * (u + v) / (6 * sqrt3);
// f(1, 0, 0) = f3 + 2 * rhow * u / (3 * sqrt3);
// f(8, 0, 0) = f6 + rhow * (u - v) / (6 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(2, 0, 0) =
// -(u * u - 2 * (1 + sqrt3 * v + v * v) * rhow) / 18;
// f(4, 0, 0) =
// -((-2 + u * u + 2 * sqrt3 * v - 2 * v * v) * rhow) /
// 18;
// } break;
// case VG_IM: {
// const Real f5 = f(5, 0, 0);
// const Real f1 = f(1, 0, 0);
// const Real f8 = f(8, 0, 0);
// const Real rhow =
// 6 * (f1 + f5 + f8) / (u * u + sqrt3 * u + 1);
// f(7, 0, 0) = f5 - rhow * (u + v) / (6 * sqrt3);
// f(3, 0, 0) = f1 - 2 * rhow * u / (3 * sqrt3);
// f(6, 0, 0) = f8 + rhow * (v - u) / (6 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(2, 0, 0) =
// -(u * u - 2 * (1 + sqrt3 * v + v * v) * rhow) / 18;
// f(4, 0, 0) =
// -((-2 + u * u + 2 * sqrt3 * v - 2 * v * v) * rhow) /
// 18;
// } break;
// case VG_JP: {
// const Real f4 = f(4, 0, 0);
// const Real f8 = f(8, 0, 0);
// const Real f7 = f(7, 0, 0);
// const Real rhow =
// 6 * (f4 + f8 + f7) / (v * v - sqrt3 * v + 1);
// f(2, 0, 0) = f4 + 2 * rhow * v / (3 * sqrt3);
// f(6, 0, 0) = f8 + rhow * (v - u) / (6 * sqrt3);
// f(5, 0, 0) = f7 + rhow * (u + v) / (6 * sqrt3);
// f(1, 0, 0) =
// ((2 + 2 * sqrt3 * u + 2 * u * u - v * v) * rhow) /
// 18;
// f(3, 0, 0) =
// -((-2 + 2 * sqrt3 * u - 2 * u * u + v * v) * rhow) /
// 18;
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// } break;
// case VG_JM: {
// const Real f2 = f(2, 0, 0);
// const Real f5 = f(5, 0, 0);
// const Real f6 = f(6, 0, 0);
// const Real rhow =
// 6 * (f2 + f5 + f6) / (v * v + sqrt3 * v + 1);
// f(4, 0, 0) = f2 - 2 * rhow * v / (3 * sqrt3);
// f(8, 0, 0) = f6 + rhow * (u - v) / (6 * sqrt3);
// f(7, 0, 0) = f5 - rhow * (u + v) / (6 * sqrt3);
// f(1, 0, 0) =
// ((2 + 2 * sqrt3 * u + 2 * u * u - v * v) * rhow) /
// 18;
// f(3, 0, 0) =
// -((-2 + 2 * sqrt3 * u - 2 * u * u + v * v) * rhow) /
// 18;
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// } break;
// case VG_IPJP_I: {
// const Real f3 = f(3, 0, 0);
// const Real f7 = f(7, 0, 0);
// const Real f4 = f(4, 0, 0);
// const Real rhow =
// (-36 * (f3 + f4 + f7)) /
// (-9 + 5 * sqrt3 * u - 3 * u * u + 5 * sqrt3 * v -
// 3 * u * v - 3 * v * v);
// f(1, 0, 0) = f3 + 2 * rhow * u / (3 * sqrt3);
// f(5, 0, 0) = f7 + rhow * (u + v) / (6 * sqrt3);
// f(2, 0, 0) = f4 + 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(6, 0, 0) = (1 + u * u + sqrt3 * v + v * v -
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(8, 0, 0) = (1 + u * u + u * (sqrt3 - 3 * v) -
// sqrt3 * v + v * v) *
// rhow / 36;
// } break;
// case VG_IPJM_I: {
// const Real f2 = f(2, 0, 0);
// const Real f3 = f(3, 0, 0);
// const Real f6 = f(6, 0, 0);
// const Real rhow =
// (-36 * (f2 + f3 + f6)) /
// (-9 + 5 * sqrt3 * u - 3 * u * u - 5 * sqrt3 * v +
// 3 * u * v - 3 * v * v);
// f(8, 0, 0) = f6 + rhow * (u - v) / (6 * sqrt3);
// f(1, 0, 0) = f3 + 2 * rhow * u / (3 * sqrt3);
// f(4, 0, 0) = f2 - 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(5, 0, 0) = (1 + u * u + sqrt3 * v + v * v +
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(7, 0, 0) = (1 - sqrt3 * u + u * u - sqrt3 * v +
// 3 * u * v + v * v) *
// rhow / 36;
// } break;
// case VG_IMJP_I: {
// const Real f1 = f(1, 0, 0);
// const Real f4 = f(4, 0, 0);
// const Real f8 = f(8, 0, 0);
// const Real rhow =
// (36 * (f1 + f4 + f8)) /
// (9 + 5 * sqrt3 * u + 3 * u * u - 5 * sqrt3 * v -
// 3 * u * v + 3 * v * v);
// f(6, 0, 0) = f8 + rhow * (v - u) / (6 * sqrt3);
// f(3, 0, 0) = f1 - 2 * rhow * u / (3 * sqrt3);
// f(2, 0, 0) = f4 + 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(5, 0, 0) = (1 + u * u + sqrt3 * v + v * v +
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(7, 0, 0) = (1 - sqrt3 * u + u * u - sqrt3 * v +
// 3 * u * v + v * v) *
// rhow / 36;
// } break;
// case VG_IMJM_I: {
// const Real f1 = f(1, 0, 0);
// const Real f5 = f(5, 0, 0);
// const Real f2 = f(2, 0, 0);
// const Real rhow =
// (36 * (f1 + f2 + f5)) /
// (9 + 5 * sqrt3 * u + 3 * u * u + 5 * sqrt3 * v +
// 3 * u * v + 3 * v * v);
// f(3, 0, 0) = f1 - 2 * rhow * u / (3 * sqrt3);
// f(4, 0, 0) = f2 - 2 * rhow * v / (3 * sqrt3);
// f(7, 0, 0) = f5 - rhow * (u + v) / (6 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(6, 0, 0) = (1 + u * u + sqrt3 * v + v * v -
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(8, 0, 0) = (1 + u * u + u * (sqrt3 - 3 * v) -
// sqrt3 * v + v * v) *
// rhow / 36;
// } break;
// case VG_IPJP_O: { // outter corner point
// const Real f3 = f(3, 0, 0);
// const Real f7 = f(7, 0, 0);
// const Real f4 = f(4, 0, 0);
// const Real rhow =
// (-36 * (f3 + f4 + f7)) /
// (-9 + 5 * sqrt3 * u - 3 * u * u + 5 * sqrt3 * v -
// 3 * u * v - 3 * v * v);
// f(1, 0, 0) = f3 + 2 * rhow * u / (3 * sqrt3);
// f(5, 0, 0) = f7 + rhow * (u + v) / (6 * sqrt3);
// f(2, 0, 0) = f4 + 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(6, 0, 0) = (1 + u * u + sqrt3 * v + v * v -
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(8, 0, 0) = (1 + u * u + u * (sqrt3 - 3 * v) -
// sqrt3 * v + v * v) *
// rhow / 36;
// } break;
// case VG_IPJM_O: { // outter corner point
// const Real f2 = f(2, 0, 0);
// const Real f3 = f(3, 0, 0);
// const Real f6 = f(6, 0, 0);
// const Real rhow =
// (-36 * (f2 + f3 + f6)) /
// (-9 + 5 * sqrt3 * u - 3 * u * u - 5 * sqrt3 * v +
// 3 * u * v - 3 * v * v);
// f(8, 0, 0) = f6 + rhow * (u - v) / (6 * sqrt3);
// f(1, 0, 0) = f3 + 2 * rhow * u / (3 * sqrt3);
// f(4, 0, 0) = f2 - 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(5, 0, 0) = (1 + u * u + sqrt3 * v + v * v +
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(7, 0, 0) = (1 - sqrt3 * u + u * u - sqrt3 * v +
// 3 * u * v + v * v) *
// rhow / 36;
// } break;
// case VG_IMJP_O: { // outter corner point
// const Real f1 = f(1, 0, 0);
// const Real f4 = f(4, 0, 0);
// const Real f8 = f(8, 0, 0);
// const Real rhow =
// (36 * (f1 + f4 + f8)) /
// (9 + 5 * sqrt3 * u + 3 * u * u - 5 * sqrt3 * v -
// 3 * u * v + 3 * v * v);
// f(6, 0, 0) = f8 + rhow * (v - u) / (6 * sqrt3);
// f(3, 0, 0) = f1 - 2 * rhow * u / (3 * sqrt3);
// f(2, 0, 0) = f4 + 2 * rhow * v / (3 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(5, 0, 0) = (1 + u * u + sqrt3 * v + v * v +
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(7, 0, 0) = (1 - sqrt3 * u + u * u - sqrt3 * v +
// 3 * u * v + v * v) *
// rhow / 36;
// } break;
// case VG_IMJM_O: { // outter corner point
// const Real f1 = f(1, 0, 0);
// const Real f5 = f(5, 0, 0);
// const Real f2 = f(2, 0, 0);
// const Real rhow =
// (36 * (f1 + f2 + f5)) /
// (9 + 5 * sqrt3 * u + 3 * u * u + 5 * sqrt3 * v +
// 3 * u * v + 3 * v * v);
// f(3, 0, 0) = f1 - 2 * rhow * u / (3 * sqrt3);
// f(4, 0, 0) = f2 - 2 * rhow * v / (3 * sqrt3);
// f(7, 0, 0) = f5 - rhow * (u + v) / (6 * sqrt3);
// f(0, 0, 0) = 2 * rhow * (2 - u * u - v * v) / 9;
// f(6, 0, 0) = (1 + u * u + sqrt3 * v + v * v -
// u * (sqrt3 + 3 * v)) *
// rhow / 36;
// f(8, 0, 0) = (1 + u * u + u * (sqrt3 - 3 * v) -
// sqrt3 * v + v * v) *
// rhow / 36;
// } break;
// default:
// break;
// } // vg
// } // case Vertex_EQMDiffRefl
// break;
// case Vertex_KineticDiffuseWall: {
// Real u = 0;
// Real v = 0; // means non-moving wall
// Real wallNormalVector[]{0, 0};
// const Real sqrt2Inverse = 1 / sqrt(2);
// switch (vg) {
// case VG_IP: {
// wallNormalVector[0] = 1;
// wallNormalVector[1] = 0;
// } break;
// case VG_IM: {
// wallNormalVector[0] = -1;
// wallNormalVector[1] = 0;
// } break;
// case VG_JP: {
// wallNormalVector[0] = 0;
// wallNormalVector[1] = 1;
// } break;
// case VG_JM: {
// wallNormalVector[0] = 0;
// wallNormalVector[1] = -1;
// } break;
// case VG_IPJP_I: {
// wallNormalVector[0] = sqrt2Inverse;
// wallNormalVector[1] = sqrt2Inverse;
// } break;
// case VG_IPJM_I: {
// wallNormalVector[0] = sqrt2Inverse;
// wallNormalVector[1] = -sqrt2Inverse;
// } break;
// case VG_IMJP_I: {
// wallNormalVector[0] = -sqrt2Inverse;
// wallNormalVector[1] = sqrt2Inverse;
// } break;
// case VG_IMJM_I: {
// wallNormalVector[0] = -sqrt2Inverse;
// wallNormalVector[1] = -sqrt2Inverse;
// } break;
// case VG_IPJP_O: {
// wallNormalVector[0] = sqrt2Inverse;
// wallNormalVector[1] = sqrt2Inverse;
// } break;
// case VG_IPJM_O: {
// wallNormalVector[0] = sqrt2Inverse;
// wallNormalVector[1] = -sqrt2Inverse;
// } break;
// case VG_IMJP_O: {
// wallNormalVector[0] = -sqrt2Inverse;
// wallNormalVector[1] = sqrt2Inverse;
// } break;
// case VG_IMJM_O: {
// wallNormalVector[0] = -sqrt2Inverse;
// wallNormalVector[1] = -sqrt2Inverse;
// } break;
// default:
// break;
// }
// Real outFlux = 0; // flow into wall
// Real inFlux = 0; // flow into fluid bulk
// for (int xiIndex = 0; xiIndex < NUMXI; xiIndex++) {
// const Real cx = XI[xiIndex * LATTDIM];
// const Real cy = XI[xiIndex * LATTDIM + 1];
// Real cDotNormal = (CS * cx - u) * wallNormalVector[0] +
// (CS * cy - v) * wallNormalVector[1];
// if (cDotNormal < 0) {
// outFlux += (-cDotNormal * f(xiIndex, 0, 0));
// }
// if (cDotNormal > 0) {
// Real cu = (CS * cx * u + CS * cy * v);
// inFlux +=
// (cDotNormal * WEIGHTS[xiIndex] *
// (1 + cu +
// 0.5 * (cu * cu - (u * u + v * v)))); // i.e., the
// // equilibrium
// }
// }
// Real rho = outFlux / inFlux;
// for (int xiIndex = 0; xiIndex < NUMXI; xiIndex++) {
// const Real cx = XI[xiIndex * LATTDIM];
// const Real cy = (int)XI[xiIndex * LATTDIM + 1];
// Real cDotNormal = (CS * cx - u) * wallNormalVector[0] +
// (CS * cy - v) * wallNormalVector[1];
// if (cDotNormal >= 0) {
// Real cu = (CS * cx * u + CS * cy * v);
// f(xiIndex, 0, 0) =
// (rho * WEIGHTS[xiIndex] *
// (1 + cu + 0.5 * (cu * cu - (u * u + v * v))));
// }
// }
// } // case Vertex_KineticDiffuseWall
// break;
// default:
// #ifdef debug
// ops_printf("%s\n",
// "Warning: KerCutCellImmersedBoundary: there seems a "
// "boundary condition that has note been implemented");
// #endif
// break;
// }
// }
// #endif OPS_2D
// }
void KerCutCellExtrapolPressure1ST(ACC<Real> &f, const ACC<int> &nodeType,
const ACC<int> &geometryProperty,
const Real *givenBoundaryVars,
const int *surface, const int *lattIdx) {
#ifdef OPS_2D
const BoundarySurface boundarySurface{(BoundarySurface)(*surface)};
VertexGeometryType vg = (VertexGeometryType)geometryProperty(0, 0);
Real rhoGiven = givenBoundaryVars[0];
Real rho = 0;
for (int xiIdx = lattIdx[0]; xiIdx <= lattIdx[1]; xiIdx++) {
Real cx{CS * XI[xiIdx * LATTDIM]};
Real cy{CS * XI[xiIdx * LATTDIM + 1]};
switch (vg) {
case VG_IP: {
if (cx > 0) {
f(xiIdx, 0, 0) = f(xiIdx, 1, 0);
}
} break;
case VG_IM: {
if (cx < 0) {
f(xiIdx, 0, 0) = f(xiIdx, -1, 0);
}
} break;
case VG_JP: {
if (cy > 0) {
f(xiIdx, 0, 0) = f(xiIdx, 0, 1);
}
} break;
case VG_JM: {
if (cy < 0) {
f(xiIdx, 0, 0) = f(xiIdx, 0, -1);
}
} break;
case VG_IPJP_I: {
if ((cx >= 0 && cy > 0) || (cx > 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0) = f(xiIdx, 1, 0);
}
if (boundarySurface == BoundarySurface::Bottom) {
f(xiIdx, 0, 0) = f(xiIdx, 0, 1);
}
}
} break;
case VG_IPJM_I: {
if ((cx >= 0 && cy < 0) || (cx > 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0) = f(xiIdx, 1, 0);
}
if (boundarySurface == BoundarySurface::Top) {
f(xiIdx, 0, 0) = f(xiIdx, 0, -1);
}
}
} break;
case VG_IMJP_I: {
if ((cx <= 0 && cy > 0) || (cx < 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Right) {
f(xiIdx, 0, 0) = f(xiIdx, -1, 0);
}
if (boundarySurface == BoundarySurface::Bottom) {
f(xiIdx, 0, 0) = f(xiIdx, 0, 1);
}
}
} break;
case VG_IMJM_I: {
if ((cx <= 0 && cy < 0) || (cx < 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Right) {
f(xiIdx, 0, 0) = f(xiIdx, -1, 0);
}
if (boundarySurface == BoundarySurface::Top) {
f(xiIdx, 0, 0) = f(xiIdx, 0, -1);
}
}
} break;
default:
break;
}
rho += f(xiIdx, 0, 0);
}
Real ratio = rhoGiven / rho;
for (int xiIdx = lattIdx[0]; xiIdx < lattIdx[1]; xiIdx++) {
f(xiIdx, 0, 0) *= ratio;
}
#endif // OPS_2D
}
// void KerCutCellBounceBack(const ACC<int> &nodeType,
// const ACC<int> &geometryProperty, ACC<Real> &f) {
// #ifdef OPS_2D
// VertexGeometryTypes vg = (VertexGeometryTypes)geometryProperty(0, 0);
// switch (vg) {
// case VG_IP: {
// f(5, 0, 0) = f(7, 0, 0);
// f(1, 0, 0) = f(3, 0, 0);
// f(8, 0, 0) = f(6, 0, 0);
// } break;
// case VG_IM: {
// f(7, 0, 0) = f(5, 0, 0);
// f(3, 0, 0) = f(1, 0, 0);
// f(6, 0, 0) = f(8, 0, 0);
// } break;
// case VG_JP: {
// f(2, 0, 0) = f(4, 0, 0);
// f(6, 0, 0) = f(8, 0, 0);
// f(5, 0, 0) = f(7, 0, 0);
// } break;
// case VG_JM: {
// f(4, 0, 0) = f(2, 0, 0);
// f(8, 0, 0) = f(6, 0, 0);
// f(7, 0, 0) = f(5, 0, 0);
// } break;
// case VG_IPJP_I: // inner corner point
// f(5, 0, 0) = f(7, 0, 0);
// break;
// case VG_IPJM_I: // inner corner point
// f(8, 0, 0) = f(6, 0, 0);
// break;
// case VG_IMJP_I: // inner corner point
// f(6, 0, 0) = f(8, 0, 0);
// break;
// case VG_IMJM_I: // inner corner point
// f(7, 0, 0) = f(5, 0, 0);
// break;
// default:
// break;
// }
// #endif // OPS_2D
// }
void KerCutCellEQMDiffuseRefl(ACC<Real> &f, const ACC<int> &nodeType,
const ACC<int> &geometryProperty,
const Real *givenMacroVars,
const int *lattIdx) {
#ifdef OPS_2D
// This kernel is suitable for a single-speed lattice
// but only for the second-order expansion at this moment
// Therefore, the equilibrium function order is fixed at 2
const int equilibriumOrder{2};
VertexGeometryType vg = (VertexGeometryType)geometryProperty(0, 0);
Real u = givenMacroVars[0];
Real v = givenMacroVars[1];
#ifdef CPU
#if DebugLevel >= 2
ops_printf(
"KerCutCellEQMDiffuseRefl: We received the following "
"conditions for the surface %i:\n",
geometryProperty(0, 0));
ops_printf("U=%f, V=%f\n", u, v);
#endif
#endif
int numOutgoing{0};
int numIncoming{0};
int numParallel{0};
int lattStart{lattIdx[0]};
int lattEnd{lattIdx[1]};
int *outgoing = new int[lattEnd - lattStart + 1];
int *incoming = new int[lattEnd - lattStart + 1];
int *parallel = new int[lattEnd - lattStart + 1];
Real rhoIncoming{0};
Real rhoParallel{0};
Real deltaRho{0};
for (int xiIdx = lattStart; xiIdx <= lattEnd; xiIdx++) {
Real cx{CS * XI[xiIdx * LATTDIM]};
Real cy{CS * XI[xiIdx * LATTDIM + 1]};
BndryDvType bdt = FindBdyDvType(vg, &XI[xiIdx * LATTDIM]);
switch (bdt) {
case BndryDv_Incoming: {
incoming[numIncoming] = xiIdx;
rhoIncoming += f(xiIdx, 0, 0);
numIncoming++;
} break;
case BndryDv_Outgoing: {
outgoing[numOutgoing] = xiIdx;
deltaRho += (2 * WEIGHTS[xiIdx]) * (cx * u + cy * v);
numOutgoing++;
} break;
case BndryDv_Parallel: {
parallel[numParallel] = xiIdx;
rhoParallel += CalcBGKFeq(xiIdx, 1, u, v, 1, equilibriumOrder);
numParallel++;
} break;
default:
break;
}
}
Real rhoWall = 2 * rhoIncoming / (1 - deltaRho - rhoParallel);
#ifdef CPU
#if DebugLevel >= 2
ops_printf("Calculated wall density = %f\n", rhoWall);
#endif
#endif
for (int idx = 0; idx < numParallel; idx++) {
f(parallel[idx], 0, 0) =
CalcBGKFeq(parallel[idx], rhoWall, u, v, 1, equilibriumOrder);
}
for (int idx = 0; idx < numOutgoing; idx++) {
int xiIdx = outgoing[idx];
Real cx{CS * XI[xiIdx * LATTDIM]};
Real cy{CS * XI[xiIdx * LATTDIM + 1]};
f(xiIdx, 0, 0) = f(OPP[xiIdx], 0, 0) +
2 * rhoWall * WEIGHTS[xiIdx] * (cx * u + cy * v);
}
delete[] outgoing;
delete[] incoming;
delete[] parallel;
#endif // OPS_2D
}
void KerCutCellPeriodic(ACC<Real> &f, const ACC<int> &nodeType,
const ACC<int> &geometryProperty, const int *lattIdx,
const int *surface) {
#ifdef OPS_2D
const int xiStartPos{lattIdx[0]};
const int xiEndPos{lattIdx[1]};
const BoundarySurface boundarySurface{(BoundarySurface)(*surface)};
VertexGeometryType vg = (VertexGeometryType)geometryProperty(0, 0);
switch (vg) {
case VG_IP:
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, -1, 0);
}
break;
case VG_IM:
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 1, 0);
}
break;
case VG_JP:
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, -1);
}
break;
case VG_JM:
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, 1);
}
break;
// There are only inner corners for block boundaries
case VG_IPJP_I: {
// VG_IP
if (boundarySurface == BoundarySurface::Left) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, -1, 0);
}
}
// VG_JP
if (boundarySurface == BoundarySurface::Bottom) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, -1);
}
}
} break;
case VG_IPJM_I: {
// VG_IP
if (boundarySurface == BoundarySurface::Left) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, -1, 0);
}
}
// VG_JM
if (boundarySurface == BoundarySurface::Top) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, 1);
}
}
} break;
case VG_IMJP_I: {
// VG_IM
if (boundarySurface == BoundarySurface::Right) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 1, 0);
}
}
// VG_JP
if (boundarySurface == BoundarySurface::Bottom) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, -1);
}
}
} break;
case VG_IMJM_I: {
// VG_IM
if (boundarySurface == BoundarySurface::Right) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 1, 0);
}
}
// VG_JM
if (boundarySurface == BoundarySurface::Top) {
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
f(xiIndex, 0, 0) = f(xiIndex, 0, 1);
}
}
} break;
default:
break;
}
#ifdef CPU
for (int xiIndex = xiStartPos; xiIndex <= xiEndPos; xiIndex++) {
const Real res{f(xiIndex, 0, 0)};
if (isnan(res) || res <= 0 || isinf(res)) {
ops_printf(
"Error! Distribution function %f becomes invalid at the "
"lattice %i\n at the surface %i\n",
res, xiIndex, geometryProperty(0, 0));
assert(!(isnan(res) || res <= 0 || isinf(res)));
}
}
#endif
#endif // OPS_2D
}
void KerCutCellZouHeVelocity(const Real *givenMacroVars,
const ACC<int> &nodeType,
const ACC<int> &geometryProperty,
const ACC<Real> ¯oVars, ACC<Real> &f) {
#ifdef OPS_2D
/*!
Note: This boundary condition requires both stream and collision happenning
at a boundary point.
Note: This boundary condition is lattice specific.
*/
VertexGeometryType vg = (VertexGeometryType)geometryProperty(0, 0);
Real rho{0};
Real u{givenMacroVars[1]};
Real v{givenMacroVars[2]};
Real sqrt3 = sqrt(3);
switch (vg) {
case VG_IP: {
// Knows
Real f0 = f(0, 0, 0);
Real f2 = f(2, 0, 0);
Real f3 = f(3, 0, 0);
Real f4 = f(4, 0, 0);
Real f6 = f(6, 0, 0);
Real f7 = f(7, 0, 0);
rho =
sqrt3 * (f0 + f2 + 2 * f3 + f4 + 2 * f6 + 2 * f7) / (sqrt3 - u);
f(1, 0, 0) = (2 * sqrt3 * rho * u + 9 * f3) / 9.0;
f(5, 0, 0) = (sqrt3 * rho * u + 3 * sqrt3 * rho * v - 9 * f2 +
9 * f4 + 18 * f7) /
18.0;
f(8, 0, 0) = (sqrt3 * rho * u - 3 * sqrt3 * rho * v + 9 * f2 -
9 * f4 + 18 * f6) /
18.0;
} break;
case VG_IM: {
// Knows
Real f0 = f(0, 0, 0);
Real f2 = f(2, 0, 0);
Real f4 = f(4, 0, 0);
Real f1 = f(1, 0, 0);
Real f5 = f(5, 0, 0);
Real f8 = f(8, 0, 0);
rho = (sqrt3 * f0 + 2 * sqrt3 * f1 + sqrt3 * f2 + sqrt3 * f4 +
2 * sqrt3 * f5 + 2 * sqrt3 * f8) /
(sqrt3 + u);
f(3, 0, 0) = (-2 * sqrt3 * u * rho + 9 * f1) / 9.0;
f(6, 0, 0) = (-(sqrt3 * u * rho) + 3 * sqrt3 * v * rho - 9 * f2 +
9 * f4 + 18 * f8) /
18.0;
f(7, 0, 0) = (-(sqrt3 * u * rho) - 3 * sqrt3 * v * rho + 9 * f2 -
9 * f4 + 18 * f5) /
18.0;
} break;
case VG_JP: {
// Knows
Real f0 = f(0, 0, 0);
Real f1 = f(1, 0, 0);
Real f3 = f(3, 0, 0);
Real f4 = f(4, 0, 0);
Real f7 = f(7, 0, 0);
Real f8 = f(8, 0, 0);
rho = (sqrt3 * f0 + sqrt3 * f1 + sqrt3 * f3 + 2 * sqrt3 * f4 +
2 * sqrt3 * f7 + 2 * sqrt3 * f8) /
(sqrt3 - v);
f(2, 0, 0) = (2 * sqrt3 * v * rho + 9 * f4) / 9.0;
f(5, 0, 0) = (3 * sqrt3 * u * rho + sqrt3 * v * rho - 9 * f1 +
9 * f3 + 18 * f7) /
18.0;
f(6, 0, 0) = (-3 * sqrt3 * u * rho + sqrt3 * v * rho + 9 * f1 -
9 * f3 + 18 * f8) /
18.0;
} break;
case VG_JM: {
// Knows
Real f0 = f(0, 0, 0);
Real f1 = f(1, 0, 0);
Real f3 = f(3, 0, 0);
Real f2 = f(2, 0, 0);
Real f5 = f(5, 0, 0);
Real f6 = f(6, 0, 0);
rho = (sqrt3 * f0 + sqrt3 * f1 + 2 * sqrt3 * f2 + sqrt3 * f3 +
2 * sqrt3 * f5 + 2 * sqrt3 * f6) /
(sqrt3 + v);
f(4, 0, 0) = (-2 * sqrt3 * v * rho + 9 * f2) / 9.0;
f(7, 0, 0) = (-3 * sqrt3 * u * rho - sqrt3 * v * rho + 9 * f1 -
9 * f3 + 18 * f5) /
18.0;
f(8, 0, 0) = (3 * sqrt3 * u * rho - sqrt3 * v * rho - 9 * f1 +
9 * f3 + 18 * f6) /
18.0;
} break;
case VG_IPJM_I: {
// Knows
Real f0 = f(0, 0, 0);
Real f2 = f(2, 0, 0);
Real f6 = f(6, 0, 0);
Real f3 = f(3, 0, 0);
rho = macroVars(0, 1, -1);
f(1, 0, 0) = (2 * sqrt3 * u * rho + 9 * f3) / 9.0;
f(5, 0, 0) = (9 * rho - 2 * sqrt3 * u * rho + 3 * sqrt3 * v * rho -
9 * f0 - 18 * f2 - 18 * f3 - 18 * f6) /
18.0;
f(7, 0, 0) = (9 * rho - 3 * sqrt3 * u * rho + 2 * sqrt3 * v * rho -
9 * f0 - 18 * f2 - 18 * f3 - 18 * f6) /
18.0;
f(4, 0, 0) = (-2 * sqrt3 * v * rho + 9 * f2) / 9.0;
f(8, 0, 0) = (sqrt3 * u * rho - sqrt3 * v * rho + 18 * f6) / 18.0;
} break;
case VG_IPJP_I: {
// Knows
Real f0 = f(0, 0, 0);
Real f4 = f(4, 0, 0);
Real f3 = f(3, 0, 0);
Real f7 = f(7, 0, 0);
rho = macroVars(0, 1, 1);
f(1, 0, 0) = (2 * sqrt3 * u * rho + 9 * f3) / 9.0;
f(5, 0, 0) = (sqrt3 * u * rho + sqrt3 * v * rho + 18 * f7) / 18.0;
f(8, 0, 0) = (9 * rho - 2 * sqrt3 * u * rho - 3 * sqrt3 * v * rho -
9 * f0 - 18 * f3 - 18 * f4 - 18 * f7) /
18.0;
f(2, 0, 0) = (2 * sqrt3 * v * rho + 9 * f4) / 9.0;
f(6, 0, 0) = (9 * rho - 3 * sqrt3 * u * rho - 2 * sqrt3 * v * rho -
9 * f0 - 18 * f3 - 18 * f4 - 18 * f7) /
18.0;
} break;
case VG_IMJP_I: {
// Knows
Real f0 = f(0, 0, 0);
Real f1 = f(1, 0, 0);
Real f8 = f(8, 0, 0);
Real f4 = f(4, 0, 0);
rho = macroVars(0, -1, 1);
f(5, 0, 0) = (9 * rho + 3 * sqrt3 * u * rho - 2 * sqrt3 * v * rho -
9 * f0 - 18 * f1 - 18 * f4 - 18 * f8) /
18.0;
f(2, 0, 0) = (2 * sqrt3 * v * rho + 9 * f4) / 9.0;
f(6, 0, 0) =
(-(sqrt3 * u * rho) + sqrt3 * v * rho + 18 * f8) / 18.0;
f(3, 0, 0) = (-2 * sqrt3 * u * rho + 9 * f1) / 9.0;
f(7, 0, 0) = (9 * rho + 2 * sqrt3 * u * rho - 3 * sqrt3 * v * rho -
9 * f0 - 18 * f1 - 18 * f4 - 18 * f8) /
18.0;
} break;
case VG_IMJM_I: {
// Knows
Real f0 = f(0, 0, 0);
Real f1 = f(1, 0, 0);
Real f2 = f(2, 0, 0);
Real f5 = f(5, 0, 0);
rho = macroVars(0, -1, -1);
f(6, 0, 0) = (9 * rho + 2 * sqrt3 * u * rho + 3 * sqrt3 * v * rho -
9 * f0 - 18 * f1 - 18 * f2 - 18 * f5) /
18.0;
f(3, 0, 0) = (-2 * sqrt3 * u * rho + 9 * f1) / 9.0;
f(7, 0, 0) =
(-(sqrt3 * u * rho) - sqrt3 * v * rho + 18 * f5) / 18.0;
f(4, 0, 0) = (-2 * sqrt3 * v * rho + 9 * f2) / 9.0;
f(8, 0, 0) = (9 * rho + 3 * sqrt3 * u * rho + 2 * sqrt3 * v * rho -
9 * f0 - 18 * f1 - 18 * f2 - 18 * f5) /
18.0;
} break;
default:
break;
}
#endif // OPS_2D
}
#endif // OPS_2D outer
// Boundary conditions for three-dimensional problems
#ifdef OPS_3D
void KerCutCellExtrapolPressure1ST3D(ACC<Real> &f, const ACC<int> &nodeType,
const ACC<int> &geometryProperty,
const Real *givenBoundaryVars,
const int *surface,
const int *lattIdx) {
#ifdef OPS_3D
const BoundarySurface boundarySurface{(BoundarySurface)(*surface)};
VertexGeometryType vg = (VertexGeometryType)geometryProperty(0, 0, 0);
Real rhoGiven = givenBoundaryVars[0];
Real rho = 0;
for (int xiIdx = lattIdx[0]; xiIdx <= lattIdx[1]; xiIdx++) {
Real cx{CS * XI[xiIdx * LATTDIM]};
Real cy{CS * XI[xiIdx * LATTDIM + 1]};
Real cz{CS * XI[xiIdx * LATTDIM + 2]};
switch (vg) {
case VG_IP: {
if (cx > 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 1, 0, 0);
}
} break;
case VG_IM: {
if (cx < 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, -1, 0, 0);
}
} break;
case VG_JP: {
if (cy > 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 1, 0);
}
} break;
case VG_JM: {
if (cy < 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, -1, 0);
}
} break;
case VG_KP: {
if (cz > 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 0, 1);
}
} break;
case VG_KM: {
if (cz < 0) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 0, -1);
}
} break;
case VG_IPJP_I: {
if ((cx >= 0 && cy > 0) || (cx > 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 1, 0, 0);
}
if (boundarySurface == BoundarySurface::Bottom) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 1, 0);
}
}
} break;
case VG_IPJM_I: {
if ((cx >= 0 && cy < 0) || (cx > 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 1, 0, 0);
}
if (boundarySurface == BoundarySurface::Top) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, -1, 0);
}
}
} break;
case VG_IMJP_I: {
if ((cx <= 0 && cy > 0) || (cx < 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Right) {
f(xiIdx, 0, 0, 0) = f(xiIdx, -1, 0, 0);
}
if (boundarySurface == BoundarySurface::Bottom) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 1, 0);
}
}
} break;
case VG_IMJM_I: {
if ((cx <= 0 && cy < 0) || (cx < 0 && cy == 0)) {
if (boundarySurface == BoundarySurface::Right) {
f(xiIdx, 0, 0, 0) = f(xiIdx, -1, 0, 0);
}
if (boundarySurface == BoundarySurface::Top) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, -1, 0);
}
}
} break;
case VG_IPKP_I: {
if ((cx >= 0 && cz > 0) || (cx > 0 && cz == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 1, 0, 0);
}
if (boundarySurface == BoundarySurface::Back) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 0, 1);
}
}
} break;
case VG_IPKM_I: {
if ((cx >= 0 && cz < 0) || (cx > 0 && cz == 0)) {
if (boundarySurface == BoundarySurface::Left) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 1, 0, 0);
}
if (boundarySurface == BoundarySurface::Front) {
f(xiIdx, 0, 0, 0) = f(xiIdx, 0, 0, -1);
}
}
} break;
case VG_IMKP_I: {