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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