Effect of a multi-dimensional flux function on the monotonicity of Euler and Navier-Stokes computationsA limiting method has been devised for a grid-independent flux function for use with the two-dimensional Euler and Navier-Stokes equations. This limiting is derived from a monotonicity analysis of the model and allows for solutions with reduced oscillatory behavior while still maintaining sharper resolution than a grid-aligned method. In addition to capturing oblique waves sharply, the grid-independent flux function also reduces the entropy generated over an airfoil in an Euler computation and reduces pressure distortions in the separated boundary layer of a viscous-flow airfoil computation. The model has also been extended to three dimensions, although no angle-limiting procedure for improving monotonicity characteristics has been incorporated.
Document ID
19910056082
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Rumsey, Christopher L. (NASA Langley Research Center Hampton, VA, United States)
Van Leer, Bram (NASA Langley Research Center Hampton, VA, United States)
Roe, Philip L. (Michigan, University Ann Arbor, United States)