#include <ERF_Interpolation_WENO.H>
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| WENO5 (const amrex::Array4< const amrex::Real > &phi, const amrex::Real) |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInX (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInY (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInZ (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real | Evaluate (const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2) const |
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amrex::Array4< const amrex::Real > | m_phi |
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const amrex::Real | eps =1.0e-40 |
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static constexpr amrex::Real | c1 =(13.0/12.0) |
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static constexpr amrex::Real | g1 =(1.0/10.0) |
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static constexpr amrex::Real | g2 =(3.0/5.0) |
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static constexpr amrex::Real | g3 =(3.0/10.0) |
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Interpolation operators used for WENO-5 scheme
◆ WENO5()
WENO5::WENO5 |
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const amrex::Array4< const amrex::Real > & |
phi, |
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const amrex::Real |
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amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO.H:260
◆ Evaluate()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real WENO5::Evaluate |
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const amrex::Real & |
sm2, |
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const amrex::Real & |
sm1, |
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const amrex::Real & |
s, |
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const amrex::Real & |
sp1, |
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const amrex::Real & |
sp2 |
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235 amrex::Real b1 =
c1 * (sm2 - 2.0 * sm1 + s) * (sm2 - 2.0 * sm1 + s) +
236 0.25 * (sm2 - 4.0 * sm1 + 3.0 * s) * (sm2 - 4.0 * sm1 + 3.0 * s);
237 amrex::Real b2 =
c1 * (sm1 - 2.0 * s + sp1) * (sm1 - 2.0 * s + sp1) +
238 0.25 * (sm1 - sp1) * (sm1 - sp1);
239 amrex::Real b3 =
c1 * (s - 2.0 * sp1 + sp2) * (s - 2.0 * sp1 + sp2) +
240 0.25 * (3.0 * s - 4.0 * sp1 + sp2) * (3.0 * s - 4.0 * sp1 + sp2);
243 amrex::Real w1 =
g1 / ( (
eps + b1) * (
eps + b1) );
244 amrex::Real w2 =
g2 / ( (
eps + b2) * (
eps + b2) );
245 amrex::Real w3 =
g3 / ( (
eps + b3) * (
eps + b3) );
248 amrex::Real wsum = w1 + w2 + w3;
251 amrex::Real v1 = 2.0 * sm2 - 7.0 * sm1 + 11.0 * s;
252 amrex::Real v2 = -sm1 + 5.0 * s + 2.0 * sp1;
253 amrex::Real v3 = 2.0 * s + 5.0 * sp1 - sp2;
256 return ( (w1 * v1 + w2 * v2 + w3 * v3) / (6.0 * wsum) );
const amrex::Real eps
Definition: ERF_Interpolation_WENO.H:261
static constexpr amrex::Real c1
Definition: ERF_Interpolation_WENO.H:262
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO.H:264
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO.H:265
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO.H:263
Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().
◆ InterpolateInX()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInX |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo |
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149 if (upw_lo != 0.) upw_lo = (upw_lo > 0) ? 1. : -1.;
152 amrex::Real sp2 =
m_phi(i+2, j , k , qty_index);
153 amrex::Real sp1 =
m_phi(i+1, j , k , qty_index);
154 amrex::Real s =
m_phi(i , j , k , qty_index);
155 amrex::Real sm1 =
m_phi(i-1, j , k , qty_index);
156 amrex::Real sm2 =
m_phi(i-2, j , k , qty_index);
157 amrex::Real sm3 =
m_phi(i-3, j , k , qty_index);
160 amrex::Real Fhi =
Evaluate(sm3,sm2,sm1,s ,sp1);
161 amrex::Real Flo =
Evaluate(sp2,sp1,s ,sm1,sm2);
164 val_lo = (1.0 + upw_lo)/2.0 * Fhi + (1.0 - upw_lo)/2.0 * Flo;
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real Evaluate(const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2) const
Definition: ERF_Interpolation_WENO.H:228
◆ InterpolateInY()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInY |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo |
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178 if (upw_lo != 0.) upw_lo = (upw_lo > 0) ? 1. : -1.;
181 amrex::Real sp2 =
m_phi(i , j+2, k , qty_index);
182 amrex::Real sp1 =
m_phi(i , j+1, k , qty_index);
183 amrex::Real s =
m_phi(i , j , k , qty_index);
184 amrex::Real sm1 =
m_phi(i , j-1, k , qty_index);
185 amrex::Real sm2 =
m_phi(i , j-2, k , qty_index);
186 amrex::Real sm3 =
m_phi(i , j-3, k , qty_index);
189 amrex::Real Fhi =
Evaluate(sm3,sm2,sm1,s ,sp1);
190 amrex::Real Flo =
Evaluate(sp2,sp1,s ,sm1,sm2);
193 val_lo = (1.0 + upw_lo)/2.0 * Fhi + (1.0 - upw_lo)/2.0 * Flo;
◆ InterpolateInZ()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInZ |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo |
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207 if (upw_lo != 0.) upw_lo = (upw_lo > 0) ? 1. : -1.;
210 amrex::Real sp2 =
m_phi(i , j , k+2, qty_index);
211 amrex::Real sp1 =
m_phi(i , j , k+1, qty_index);
212 amrex::Real s =
m_phi(i , j , k , qty_index);
213 amrex::Real sm1 =
m_phi(i , j , k-1, qty_index);
214 amrex::Real sm2 =
m_phi(i , j , k-2, qty_index);
215 amrex::Real sm3 =
m_phi(i , j , k-3, qty_index);
218 amrex::Real Fhi =
Evaluate(sm3,sm2,sm1,s ,sp1);
219 amrex::Real Flo =
Evaluate(sp2,sp1,s ,sm1,sm2);
222 val_lo = (1.0 + upw_lo)/2.0 * Fhi + (1.0 - upw_lo)/2.0 * Flo;
◆ c1
constexpr amrex::Real WENO5::c1 =(13.0/12.0) |
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staticconstexprprivate |
◆ eps
const amrex::Real WENO5::eps =1.0e-40 |
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◆ g1
constexpr amrex::Real WENO5::g1 =(1.0/10.0) |
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staticconstexprprivate |
◆ g2
constexpr amrex::Real WENO5::g2 =(3.0/5.0) |
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staticconstexprprivate |
◆ g3
constexpr amrex::Real WENO5::g3 =(3.0/10.0) |
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staticconstexprprivate |
◆ m_phi
amrex::Array4<const amrex::Real> WENO5::m_phi |
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private |
The documentation for this struct was generated from the following file: