Publication Date:
2019-07-13
Description:
Existing approximate Riemann solvers do not perform well when the grid is not aligned with strong shocks in the flow field. Three new approximate Riemann algorithms are investigated to improve solution accuracy and stability in the vicinity of strong shocks. The new algorithms are compared to the existing upwind algorithms in OVERFLOW 2.1. The new algorithms use a multidimensional pressure gradient based switch to transition to a more numerically dissipative algorithm in the vicinity of strong shocks. One new algorithm also attempts to artificially thicken captured shocks in order to alleviate the errors in the solution introduced by "stair-stepping" of the shock resulting from the approximate Riemann solver. This algorithm performed well for all the example cases and produced results that were almost insensitive to the alignment of the grid and the shock.
Keywords:
Fluid Mechanics and Thermodynamics
Type:
AIAA Paper 2009-3988
,
LF99-8992
,
19th AIAA Computational Fluid Dynamics; Jun 22, 2009 - Jun 25, 2009; San Antonio, TX; United States
Format:
application/pdf
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