Accurate one-dimensional computation of frontal phenomena by PLIM

Markku Rajamäki, Mika Saarinen

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

We introduce a new method for solving systems of one-dimensional hyperbolic partial differential equations and present the first applications of this method. The piecewise linear interpolation method PLIM is shown to have the capability to preserve the shape of a propagating distribution and great applicability. Various difficult flow problems, such as the strong convection problem, the convection diffusion problem, and the reaction-diffusion problem, have been solved. In addition, the approximate hyperbolic equations technique (AHET) to handle the diffusion terms is introduced.
Original languageEnglish
Pages (from-to)62-73
Number of pages12
JournalJournal of Computational Physics
Volume111
Issue number1
DOIs
Publication statusPublished - 1994
MoE publication typeA1 Journal article-refereed

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convection
hyperbolic differential equations
partial differential equations
Partial differential equations
interpolation
Interpolation
Convection

Cite this

Rajamäki, Markku ; Saarinen, Mika. / Accurate one-dimensional computation of frontal phenomena by PLIM. In: Journal of Computational Physics. 1994 ; Vol. 111, No. 1. pp. 62-73.
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Accurate one-dimensional computation of frontal phenomena by PLIM. / Rajamäki, Markku; Saarinen, Mika.

In: Journal of Computational Physics, Vol. 111, No. 1, 1994, p. 62-73.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Saarinen, Mika

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AB - We introduce a new method for solving systems of one-dimensional hyperbolic partial differential equations and present the first applications of this method. The piecewise linear interpolation method PLIM is shown to have the capability to preserve the shape of a propagating distribution and great applicability. Various difficult flow problems, such as the strong convection problem, the convection diffusion problem, and the reaction-diffusion problem, have been solved. In addition, the approximate hyperbolic equations technique (AHET) to handle the diffusion terms is introduced.

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