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

Institut for Matematik og Datalogi

Hawassa University

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › 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.

Originalsprog	Engelsk
Tidsskrift	International Journal of Numerical Analysis and Modeling
Vol/bind	17
Udgave nummer	3
Sider (fra-til)	434-456
ISSN	1705-5105
Status	Udgivet - 2020

Dokumenter og links

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

1 Ph.d.-afhandling

Computational Modeling of Fluorescence Photobleaching
Hansen, C. V., 28. dec. 2017, Syddansk Universitet. Det Naturvidenskabelige Fakultet. 183 s.
Publikation: Afhandling › Ph.d.-afhandling

Citationsformater

@article{c8f8bed961144189a1dfb8f9da250005,

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.",

keywords = "Balance law, Degenerate viscosity, E–scheme, Monotone",

author = "Abdi, {Ebise Adugna} and Schroll, {Hans Joachim}",

year = "2020",

language = "English",

volume = "17",

pages = "434--456",

journal = "International Journal of Numerical Analysis and Modeling",

issn = "1705-5105",

publisher = "University of Alberta",

number = "3",

}

TY - JOUR

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

Dokumenter og links

Fingeraftryk

Relaterede publikationer

Computational Modeling of Fluorescence Photobleaching

Citationsformater