ERF
Energy Research and Forecasting: An Atmospheric Modeling Code
Public Member Functions | Private Attributes | Static Private Attributes | List of all members
WENO5 Struct Reference

#include <ERF_Interpolation_WENO.H>

Collaboration diagram for WENO5:
Collaboration graph
[legend]

Public Member Functions

 WENO5 (const amrex::Array4< const amrex::Real > &phi, const amrex::Real)
 
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
 
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
 
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
 
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
 

Private Attributes

amrex::Array4< const amrex::Real > m_phi
 
const amrex::Real eps =amrex::Real(1.0e-40)
 

Static Private Attributes

static constexpr amrex::Real c1 =(amrex::Real(13.0)/amrex::Real(12.0))
 
static constexpr amrex::Real g1 =(amrex::Real(1)/amrex::Real(10.0))
 
static constexpr amrex::Real g2 =(amrex::Real(3)/amrex::Real(5.0))
 
static constexpr amrex::Real g3 =(amrex::Real(3)/amrex::Real(10.0))
 

Detailed Description

Interpolation operators used for WENO-5 scheme

Constructor & Destructor Documentation

◆ WENO5()

WENO5::WENO5 ( const amrex::Array4< const amrex::Real > &  phi,
const amrex::Real   
)
inline
140  : m_phi(phi) {}
WENO5::m_phi
amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO.H:264

Member Function Documentation

◆ Evaluate()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real WENO5::Evaluate ( const amrex::Real &  sm2,
const amrex::Real &  sm1,
const amrex::Real &  s,
const amrex::Real &  sp1,
const amrex::Real &  sp2 
) const
inline
237  {
238  // Smoothing factors
239  amrex::Real b1 = c1 * (sm2 - amrex::Real(2) * sm1 + s) * (sm2 - amrex::Real(2) * sm1 + s) +
240  amrex::Real(0.25) * (sm2 - amrex::Real(4.0) * sm1 + amrex::Real(3) * s) * (sm2 - amrex::Real(4.0) * sm1 + amrex::Real(3) * s);
241  amrex::Real b2 = c1 * (sm1 - amrex::Real(2) * s + sp1) * (sm1 - amrex::Real(2) * s + sp1) +
242  amrex::Real(0.25) * (sm1 - sp1) * (sm1 - sp1);
243  amrex::Real b3 = c1 * (s - amrex::Real(2) * sp1 + sp2) * (s - amrex::Real(2) * sp1 + sp2) +
244  amrex::Real(0.25) * (amrex::Real(3) * s - amrex::Real(4.0) * sp1 + sp2) * (amrex::Real(3) * s - amrex::Real(4.0) * sp1 + sp2);
245 
246  // Weight factors
247  amrex::Real w1 = g1 / ( (eps + b1) * (eps + b1) );
248  amrex::Real w2 = g2 / ( (eps + b2) * (eps + b2) );
249  amrex::Real w3 = g3 / ( (eps + b3) * (eps + b3) );
250 
251  // Weight factor norm
252  amrex::Real wsum = w1 + w2 + w3;
253 
254  // Taylor expansions
255  amrex::Real v1 = amrex::Real(2) * sm2 - amrex::Real(7.0) * sm1 + amrex::Real(11.0) * s;
256  amrex::Real v2 = -sm1 + amrex::Real(5.0) * s + amrex::Real(2) * sp1;
257  amrex::Real v3 = amrex::Real(2) * s + amrex::Real(5.0) * sp1 - sp2;
258 
259  // Interpolated value
260  return ( (w1 * v1 + w2 * v2 + w3 * v3) / (amrex::Real(6.0) * wsum) );
261  }
Real
amrex::Real Real
Definition: ERF_ShocInterface.H:19
WENO5::eps
const amrex::Real eps
Definition: ERF_Interpolation_WENO.H:268
WENO5::c1
static constexpr amrex::Real c1
Definition: ERF_Interpolation_WENO.H:270
WENO5::g2
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO.H:272
WENO5::g3
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO.H:273
WENO5::g1
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO.H:271

Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().

Here is the caller graph for this function:

◆ InterpolateInX()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInX ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
151  {
152  // Upwinding flags
153  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
154 
155  // Data to interpolate on
156  amrex::Real sp2 = m_phi(i+2, j , k , qty_index);
157  amrex::Real sp1 = m_phi(i+1, j , k , qty_index);
158  amrex::Real s = m_phi(i , j , k , qty_index);
159  amrex::Real sm1 = m_phi(i-1, j , k , qty_index);
160  amrex::Real sm2 = m_phi(i-2, j , k , qty_index);
161  amrex::Real sm3 = m_phi(i-3, j , k , qty_index);
162 
163  // Left and right fluxes
164  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
165  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
166 
167  // Numerical flux
168  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
169  }
WENO5::Evaluate
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:232
Here is the call graph for this function:

◆ InterpolateInY()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInY ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
180  {
181  // Upwinding flags
182  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
183 
184  // Data to interpolate on
185  amrex::Real sp2 = m_phi(i , j+2, k , qty_index);
186  amrex::Real sp1 = m_phi(i , j+1, k , qty_index);
187  amrex::Real s = m_phi(i , j , k , qty_index);
188  amrex::Real sm1 = m_phi(i , j-1, k , qty_index);
189  amrex::Real sm2 = m_phi(i , j-2, k , qty_index);
190  amrex::Real sm3 = m_phi(i , j-3, k , qty_index);
191 
192  // Left and right fluxes
193  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
194  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
195 
196  // Numerical flux
197  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
198  }
Here is the call graph for this function:

◆ InterpolateInZ()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO5::InterpolateInZ ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
209  {
210  // Upwinding flags
211  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
212 
213  // Data to interpolate on
214  amrex::Real sp2 = m_phi(i , j , k+2, qty_index);
215  amrex::Real sp1 = m_phi(i , j , k+1, qty_index);
216  amrex::Real s = m_phi(i , j , k , qty_index);
217  amrex::Real sm1 = m_phi(i , j , k-1, qty_index);
218  amrex::Real sm2 = m_phi(i , j , k-2, qty_index);
219  amrex::Real sm3 = m_phi(i , j , k-3, qty_index);
220 
221  // Left and right fluxes
222  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
223  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
224 
225  // Numerical flux
226  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
227  }
Here is the call graph for this function:

Member Data Documentation

◆ c1

constexpr amrex::Real WENO5::c1 =(amrex::Real(13.0)/amrex::Real(12.0))
staticconstexprprivate

Referenced by Evaluate().

◆ eps

const amrex::Real WENO5::eps =amrex::Real(1.0e-40)
private

Referenced by Evaluate().

◆ g1

constexpr amrex::Real WENO5::g1 =(amrex::Real(1)/amrex::Real(10.0))
staticconstexprprivate

Referenced by Evaluate().

◆ g2

constexpr amrex::Real WENO5::g2 =(amrex::Real(3)/amrex::Real(5.0))
staticconstexprprivate

Referenced by Evaluate().

◆ g3

constexpr amrex::Real WENO5::g3 =(amrex::Real(3)/amrex::Real(10.0))
staticconstexprprivate

Referenced by Evaluate().

◆ m_phi

amrex::Array4<const amrex::Real> WENO5::m_phi
private

Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().

The documentation for this struct was generated from the following file: