An Adaptive Viscosity E–scheme for Degenerate Conservation and Balance Laws

Ebise Adugna Abdi, Hans Joachim Schroll

Research output: Contribution to journalJournal articleResearchpeer-review

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.

Original languageEnglish
JournalInternational Journal of Numerical Analysis and Modeling
Volume17
Issue number3
Pages (from-to)434-456
ISSN1705-5105
Publication statusPublished - 2020

Keywords

  • Balance law
  • Degenerate viscosity
  • E–scheme
  • Monotone

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