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>

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Public Member Functions

 WENO5 (const amrex::Array4< const amrex::Real > &phi)
 
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::Real) 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::Real) 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::Real) 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 =1.0e-6
 
const amrex::Real tol =1.0e-12
 

Static Private Attributes

static constexpr amrex::Real c1 =(13.0/12.0)
 
static constexpr amrex::Real g1 =(1.0/10.0)
 
static constexpr amrex::Real g2 =(3.0/5.0)
 
static constexpr amrex::Real g3 =(3.0/10.0)
 

Detailed Description

Interpolation operators used for WENO-5 scheme

Constructor & Destructor Documentation

◆ WENO5()

WENO5::WENO5 ( const amrex::Array4< const amrex::Real > &  phi)
inline
132  : m_phi(phi) {}
WENO5::m_phi
amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO.H:253

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
226  {
227  // Smoothing factors
228  amrex::Real b1 = c1 * (sm2 - 2.0 * sm1 + s) * (sm2 - 2.0 * sm1 + s) +
229  0.25 * (sm2 - 4.0 * sm1 + 3.0 * s) * (sm2 - 4.0 * sm1 + 3.0 * s);
230  amrex::Real b2 = c1 * (sm1 - 2.0 * s + sp1) * (sm1 - 2.0 * s + sp1) +
231  0.25 * (sm1 - sp1) * (sm1 - sp1);
232  amrex::Real b3 = c1 * (s - 2.0 * sp1 + sp2) * (s - 2.0 * sp1 + sp2) +
233  0.25 * (3.0 * s - 4.0 * sp1 + sp2) * (3.0 * s - 4.0 * sp1 + sp2);
234 
235  // Weight factors
236  amrex::Real w1 = g1 / ( (eps + b1) * (eps + b1) );
237  amrex::Real w2 = g2 / ( (eps + b2) * (eps + b2) );
238  amrex::Real w3 = g3 / ( (eps + b3) * (eps + b3) );
239 
240  // Weight factor norm
241  amrex::Real wsum = w1 + w2 + w3;
242 
243  // Taylor expansions
244  amrex::Real v1 = 2.0 * sm2 - 7.0 * sm1 + 11.0 * s;
245  amrex::Real v2 = -sm1 + 5.0 * s + 2.0 * sp1;
246  amrex::Real v3 = 2.0 * s + 5.0 * sp1 - sp2;
247 
248  // Interpolated value
249  return ( (w1 * v1 + w2 * v2 + w3 * v3) / (6.0 * wsum) );
250  }
WENO5::eps
const amrex::Real eps
Definition: ERF_Interpolation_WENO.H:254
WENO5::c1
static constexpr amrex::Real c1
Definition: ERF_Interpolation_WENO.H:256
WENO5::g2
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO.H:258
WENO5::g3
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO.H:259
WENO5::g1
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO.H:257

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

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◆ 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 amrex::Real   
) const
inline
144  {
145  // Data to interpolate on
146  amrex::Real sp2 = m_phi(i+2, j , k , qty_index);
147  amrex::Real sp1 = m_phi(i+1, j , k , qty_index);
148  amrex::Real s = m_phi(i , j , k , qty_index);
149  amrex::Real sm1 = m_phi(i-1, j , k , qty_index);
150  amrex::Real sm2 = m_phi(i-2, j , k , qty_index);
151  amrex::Real sm3 = m_phi(i-3, j , k , qty_index);
152 
153  if (upw_lo > tol) {
154  val_lo = Evaluate(sm3,sm2,sm1,s ,sp1);
155  } else if (upw_lo < -tol) {
156  val_lo = Evaluate(sp2,sp1,s ,sm1,sm2);
157  } else {
158  val_lo = 0.5 * (s + sm1);
159  }
160  }
WENO5::tol
const amrex::Real tol
Definition: ERF_Interpolation_WENO.H:255
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:221
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◆ 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 amrex::Real   
) const
inline
172  {
173  // Data to interpolate on
174  amrex::Real sp2 = m_phi(i , j+2, k , qty_index);
175  amrex::Real sp1 = m_phi(i , j+1, k , qty_index);
176  amrex::Real s = m_phi(i , j , k , qty_index);
177  amrex::Real sm1 = m_phi(i , j-1, k , qty_index);
178  amrex::Real sm2 = m_phi(i , j-2, k , qty_index);
179  amrex::Real sm3 = m_phi(i , j-3, k , qty_index);
180 
181  if (upw_lo > tol) {
182  val_lo = Evaluate(sm3,sm2,sm1,s ,sp1);
183  } else if (upw_lo < -tol) {
184  val_lo = Evaluate(sp2,sp1,s ,sm1,sm2);
185  } else {
186  val_lo = 0.5 * (s + sm1);
187  }
188  }
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◆ 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 amrex::Real   
) const
inline
200  {
201  // Data to interpolate on
202  amrex::Real sp2 = m_phi(i , j , k+2, qty_index);
203  amrex::Real sp1 = m_phi(i , j , k+1, qty_index);
204  amrex::Real s = m_phi(i , j , k , qty_index);
205  amrex::Real sm1 = m_phi(i , j , k-1, qty_index);
206  amrex::Real sm2 = m_phi(i , j , k-2, qty_index);
207  amrex::Real sm3 = m_phi(i , j , k-3, qty_index);
208 
209  if (upw_lo > tol) {
210  val_lo = Evaluate(sm3,sm2,sm1,s ,sp1);
211  } else if (upw_lo < -tol) {
212  val_lo = Evaluate(sp2,sp1,s ,sm1,sm2);
213  } else {
214  val_lo = 0.5 * (s + sm1);
215  }
216  }
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Member Data Documentation

◆ c1

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

Referenced by Evaluate().

◆ eps

const amrex::Real WENO5::eps =1.0e-6
private

Referenced by Evaluate().

◆ g1

constexpr amrex::Real WENO5::g1 =(1.0/10.0)
staticconstexprprivate

Referenced by Evaluate().

◆ g2

constexpr amrex::Real WENO5::g2 =(3.0/5.0)
staticconstexprprivate

Referenced by Evaluate().

◆ g3

constexpr amrex::Real WENO5::g3 =(3.0/10.0)
staticconstexprprivate

Referenced by Evaluate().

◆ m_phi

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

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

◆ tol

const amrex::Real WENO5::tol =1.0e-12
private

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

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