Analytic solution of shock waves equation with higher order approximation

Valentin A. Soloiu; Marvin H.M. Cheng; Cheng Yi Chen

Analytic solution of shock waves equation with higher order approximation

Valentin A. Soloiu, Marvin H.M. Cheng, Cheng Yi Chen

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The advection equation has been investigated by using lower order finite-difference numerical schemes based on the control volume method. This paper aims to develop an efficient approximation method with higher order terms. The proposed mathematical model is proved to be time efficient and is capable to provide smooth output. The simulation results have been compared with the approximation schemes proposed by other researchers.

Original language	English
Pages (from-to)	1991-1996
Number of pages	6
Journal	ICIC Express Letters
Volume	4
Issue number	5 B
State	Published - Oct 2010

Keywords

Control volume method
Shock wave
Wave propagation

Cite this

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title = "Analytic solution of shock waves equation with higher order approximation",

abstract = "The advection equation has been investigated by using lower order finite-difference numerical schemes based on the control volume method. This paper aims to develop an efficient approximation method with higher order terms. The proposed mathematical model is proved to be time efficient and is capable to provide smooth output. The simulation results have been compared with the approximation schemes proposed by other researchers.",

keywords = "Control volume method, Shock wave, Wave propagation",

author = "Soloiu, {Valentin A.} and Cheng, {Marvin H.M.} and Chen, {Cheng Yi}",

year = "2010",

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T1 - Analytic solution of shock waves equation with higher order approximation

AU - Soloiu, Valentin A.

AU - Cheng, Marvin H.M.

AU - Chen, Cheng Yi

PY - 2010/10

Y1 - 2010/10

N2 - The advection equation has been investigated by using lower order finite-difference numerical schemes based on the control volume method. This paper aims to develop an efficient approximation method with higher order terms. The proposed mathematical model is proved to be time efficient and is capable to provide smooth output. The simulation results have been compared with the approximation schemes proposed by other researchers.

AB - The advection equation has been investigated by using lower order finite-difference numerical schemes based on the control volume method. This paper aims to develop an efficient approximation method with higher order terms. The proposed mathematical model is proved to be time efficient and is capable to provide smooth output. The simulation results have been compared with the approximation schemes proposed by other researchers.

KW - Control volume method

KW - Shock wave

KW - Wave propagation

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M3 - Article

AN - SCOPUS:77956913413

SN - 1881-803X

VL - 4

SP - 1991

EP - 1996

JO - ICIC Express Letters

JF - ICIC Express Letters

IS - 5 B

ER -

Analytic solution of shock waves equation with higher order approximation

Abstract

Keywords

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