A new class of high accuracy TVD schemes for hyperbolic conservation lawsA new family of high accuracy Total Variation Diminishing (TVD) schemes has been developed. Members of the family include the conventional second-order TVD upwind scheme, various other second-order accurate TVD schemes with lower truncation error, and even a third-order accurate TVD approximation. All the schemes are defined with a five-point grid bandwidth. In this paper, the new algorithms are described for scalar equations, systems, and arbitrary coordinates. Selected numerical results are provided to illustrate the new algorithms and their properties.
Document ID
19850044237
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, CA, United States)