A numerical shock profile in a slowly relaxing medium

G. R. Nicklason; R. W. Lardner

doi:10.1016/0165-2125(87)90049-7

A numerical shock profile in a slowly relaxing medium

G. R. Nicklason^*, R. W. Lardner

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

A numerical solution of the equation which governs the shock solution in a viscoelastic medium displaying stress relaxation is obtained. This equation has been found to be the one which defines the lowest-order approximation to the inner solution of a "generalized Burgers' equation". The case when the stress relaxation function is algebraically decaying is considered and the results are shown to be consistent with the expected behaviour of the solution.

Original language	English
Pages (from-to)	157-160
Number of pages	4
Journal	Wave Motion
Volume	9
Issue number	2
DOIs	https://doi.org/10.1016/0165-2125(87)90049-7
State	Published - Mar 1987

ASJC Scopus subject areas

Modeling and Simulation
General Physics and Astronomy
Computational Mathematics
Applied Mathematics

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title = "A numerical shock profile in a slowly relaxing medium",

abstract = "A numerical solution of the equation which governs the shock solution in a viscoelastic medium displaying stress relaxation is obtained. This equation has been found to be the one which defines the lowest-order approximation to the inner solution of a {"}generalized Burgers' equation{"}. The case when the stress relaxation function is algebraically decaying is considered and the results are shown to be consistent with the expected behaviour of the solution.",

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year = "1987",

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AU - Nicklason, G. R.

AU - Lardner, R. W.

PY - 1987/3

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N2 - A numerical solution of the equation which governs the shock solution in a viscoelastic medium displaying stress relaxation is obtained. This equation has been found to be the one which defines the lowest-order approximation to the inner solution of a "generalized Burgers' equation". The case when the stress relaxation function is algebraically decaying is considered and the results are shown to be consistent with the expected behaviour of the solution.

AB - A numerical solution of the equation which governs the shock solution in a viscoelastic medium displaying stress relaxation is obtained. This equation has been found to be the one which defines the lowest-order approximation to the inner solution of a "generalized Burgers' equation". The case when the stress relaxation function is algebraically decaying is considered and the results are shown to be consistent with the expected behaviour of the solution.

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U2 - 10.1016/0165-2125(87)90049-7

DO - 10.1016/0165-2125(87)90049-7

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VL - 9

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EP - 160

JO - Wave Motion

JF - Wave Motion

IS - 2

ER -

A numerical shock profile in a slowly relaxing medium

Abstract

ASJC Scopus subject areas

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