snippets.WENO.WENO5_M

WENO-M

Ref: Henrick, Andrew K., Tariq D. Aslam, and Joseph M. Powers. “Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points.” Journal of Computational Physics 207.2 (2005): 542-567.

Module Contents

Functions

WENO5_M_L(vmm, vm, vo, vp, vpp)	WENO5_M_L Reconstruction of the \(u_{i-1/2}^+\) by WENO5-M
WENO5_M_R(vmm, vm, vo, vp, vpp)	WENO5_M_L Reconstruction of the \(u_{i+1/2}^-\) by WENO5-M

snippets.WENO.WENO5_M.WENO5_M_L(vmm, vm, vo, vp, vpp)

WENO5_M_L Reconstruction of the \(u_{i-1/2}^+\) by WENO5-M

  |___________S0__________|
  |                       |
  |       |___________S1__________|
  |       |                       |
  |       |       |___________S2__________|
..|---o---|---o---|---o---|---o---|---o---|...
  | I{i-2}| I{i-1}|  I{i} | I{i+1}| I{i+2}|
                  |+
                  i-1/2

Parameters

• vmm – \(u_{i-2}\)

• vm – \(u_{i-1}\)

• vo – \(u_i\)

• vp – \(u_{i+1}\)

• vpp – \(u_{i+2}\)

Returns

\(u_{i-1/2}^+\)

snippets.WENO.WENO5_M.WENO5_M_R(vmm, vm, vo, vp, vpp)

WENO5_M_L Reconstruction of the \(u_{i+1/2}^-\) by WENO5-M

  |___________S0__________|
  |                       |
  |       |___________S1__________|
  |       |                       |
  |       |       |___________S2__________|
..|---o---|---o---|---o---|---o---|---o---|...
  | I{i-2}| I{i-1}|  I{i} | I{i+1}| I{i+2}|
                         -|
                        i+1/2

Parameters

• vmm – \(u_{i-2}\)

• vm – \(u_{i-1}\)

• vo – \(u_i\)

• vp – \(u_{i+1}\)

• vpp – \(u_{i+2}\)

Returns

\(u_{i+1/2}^-\)