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

Ebise Adugna Abdi; Hans Joachim Schroll

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

Ebise Adugna Abdi, Hans Joachim Schroll

Department of Mathematics and Computer Science

Hawassa University

Research output: Contribution to journal › Journal article › Research › peer-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 language	English
Journal	International Journal of Numerical Analysis and Modeling
Volume	17
Issue number	3
Pages (from-to)	434-456
ISSN	1705-5105
Publication status	Published - 2020

Keywords

Balance law
Degenerate viscosity
E–scheme
Monotone

Documents & Links

http://www.global-sci.org/intro/article_detail/ijnam/16867.html

1 Ph.D. thesis

Computational Modeling of Fluorescence Photobleaching
Hansen, C. V., 28. Dec 2017, Syddansk Universitet. Det Naturvidenskabelige Fakultet. 183 p.
Research output: Thesis › Ph.D. thesis

Cite this

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title = "An Adaptive Viscosity E–scheme for Degenerate Conservation and Balance Laws",

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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T1 - An Adaptive Viscosity E–scheme for Degenerate Conservation and Balance Laws

AU - Abdi, Ebise Adugna

AU - Schroll, Hans Joachim

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Balance law

KW - Degenerate viscosity

KW - E–scheme

KW - Monotone

M3 - Journal article

AN - SCOPUS:85085486510

SN - 1705-5105

VL - 17

SP - 434

EP - 456

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 3

ER -

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

Abstract

Keywords

Documents & Links

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Related research output

Computational Modeling of Fluorescence Photobleaching

Cite this