A solution scheme for the Euler equations based on a multi-dimensional wave modelA scheme for the solution of scalar advection on an unstructured mesh has been developed, tested, and extended to the Euler equations. The scheme preserves a linear function exactly, and yields nearly monotone results. The flux function associated with the Euler scheme is based on a discrete 'wave model' for the system of equations. The wave model decomposes the solution gradient at a location into shear waves, entropy waves and acoustic waves and calculates the speeds, strengths and directions associated with the waves. The approach differs from typical flux-difference splitting schemes in that the waves are not assumed to propagate normal to the faces of the control volumes; directions of propagation of the waves are instead computed from solution-gradient information. Results are shown for three test cases, and two different wave models. The results are compared to those from other approaches, including MUSCL and Galerkin least squares schemes.
Document ID
19930036181
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Powell, Kenneth G. (Michigan Univ. Ann Arbor, United States)
Barth, Timothy J. (NASA Ames Research Center Moffett Field, CA, United States)
Parpia, Ijaz H. (Texas Univ. Arlington, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1993
Subject Category
Aerodynamics
Report/Patent Number
AIAA PAPER 93-0065
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit