A multi-dimensional kinetic-based upwind solver for the Euler equationsA multidimensional kinetic fluctuation-splitting scheme has been developed for the Euler equations. The scheme is based on an N-scheme discretization of the Boltzmann equation at the kinetic level for triangulated Cartesian meshes with a diagonal-adaptive strategy. The resulting Euler scheme is a cell-vertex fluctuation-splitting scheme where fluctuations in the conserved-variable vector Q are obtained as moments of the fluctuation in the Maxwellian velocity distribution function at the kinetic level. Encouraging preliminary results have been obtained for perfect gases on Cartesian meshes with first-order spatial accuracy. The present approach represents an improvement to the well-established dimensionally-split upwind schemes.
Document ID
19930061004
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Eppard, W. M. (NASA Langley Research Center Hampton, VA, United States)
Grossman, B. (Virginia Polytechnic Inst. and State Univ. Blacksburg, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: In: AIAA Computational Fluid Dynamics Conference, 11th, Orlando, FL, July 6-9, 1993, Technical Papers. Pt. 1 (A93-44994 18-34)
Publisher: American Institute of Aeronautics and Astronautics