Computing with high-resolution upwind schemes for hyperbolic equationsComputational aspects of modern high-resolution upwind finite-difference schemes for hyperbolic systems of conservation laws are examined. An operational unification is demonstrated for constructing a wide class of flux-difference-split and flux-split schemes based on the design principles underlying total variation diminishing (TVD) schemes. Consideration is also given to TVD scheme design by preprocessing, the extension of preprocessing and postprocessing approaches to general control volumes, the removal of expansion shocks and 'glitches', relaxation methods for implicit TVD schemes, and a new family of high-accuracy TVD schemes.
Document ID
19850066054
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Chakravarthy, S. R. (Rockwell International Science Center Thousand Oaks, CA, United States)
Osher, S. (California, University Los Angeles, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1985
Subject Category
Numerical Analysis
Meeting Information
Meeting: Large-scale computations in fluid mechanics