Methods

CLAWPACK

The van Albada limiter is less disscipative than the Min-Mod limiter, and hence, generally yields better results of diffusive phenomenon. However, when using the GFM boundary for the ramp, the Min-Mid was better at keeping the computations behind the Mach stem stable.

• Roe solver with Min-Mod Limiting: Method(1) = 1 (for viscous terms), Method(2) = 2, Method(3) = 0, Limiter(1)= 1, Limiter(2) = 1, Limiter(3) = 1
• Roe solver with van Albada Limiting: Method(1) = 1 (for viscous terms), Method(2) = 2, Method(3) = 0, Limiter(1)= 5, Limiter(2) = 5, Limiter(3) = 5

WENO/WENO-TCD

(Note: current version of code was locally modified to enable the use of these input parameters) (Also note that for the bandwidth optimized WENO, the "order" specified in these pages is the order of the TCD stencil that would be used with that WENO method. The WENO method has the order of accuracy for the ENO stencils for the bandwidth optimized case, 3rd order weno and 4th order tcd, or 2nd order weno and 2nd order tcd. For the order optimized case, in the limit of smooth flow there is 4th order weno/tcd and 6th order weno/tcd.)

• WENO - 2nd order Symmetric bandwidth optimized, Method = 0, Optimize = 1, Order = 2, GhostCells = 3
• WENO - 4th order Symmetric bandwidth optimized, Method = 0, Optimize = 1, Order = 4, GhostCells = 4
• WENO - 4th order Symmetric order optimized, Method = 0, Optimize = 0, Order = 3, GhostCells = 3
• WENO - 6th order Symmetric order optimized, Method = 0, Optimize = 0, Order = 5, GhostCells = 4
• WENO-TCD - 2nd order Symmetric bandwidth optimized, Method = 1, Optimize = 1, Order = 2, GhostCells = 3
• WENO-TCD - 4th order Symmetric bandwidth optimized, Method = 1, Optimize = 1, Order = 4, GhostCells = 4
• WENO-TCD - 4th order Symmetric order optimized, Method = 1, Optimize = 0, Order = 4, GhostCells = 3
• WENO-TCD - 6th order Symmetric order optimized, Method = 1, Optimize = 0, Order = 6, GhostCells = 4

(Note that for the use of WENO-TCD a problem dependent cles_dcflag_curv2d.f function was specifed in order to control the "discontinuity" flagging of where the WENO solution is used instead of TCD.

DoubleMachReflectionStudy