Year: 2020
Author: Ebise Adugna Abdi, Hans Joachim Schroll
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 3 : pp. 434–456
Abstract
An adaptive E–scheme for degenerate, viscous balance laws is presented. Taking into account natural diffusion, numerical viscosity is locally reduced to a minimum. Numerical experiments demonstrate the improved accuracy of the adaptive scheme. Explicit and implicit three–point E–schemes are monotone, TVD and nonlinearly stable. A high–resolution version of the adaptive E–scheme is derived and tested in experiments. The latter is not necessarily monotone, but TVD.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-16867
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 3 : pp. 434–456
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Balance law E–scheme monotone degenerate viscosity.