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Third Order Accurate Non-Polynomial Reconstruction on Rectangular and Triangular Meshes

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Abstract

This paper presents a finite volume scheme on rectangular and triangular meshes based on a third order accurate logarithmic reconstruction. Several numerical experiments, including the Euler equations for compressible gas dynamics, illustrate the high resolution and non-oscillatory properties of the new scheme

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Authors and Affiliations

  1. Centre for Mathematical Sciences, Lund University, Box 118, SE–221 00, Lund, Sweden

    Robert Artebrant

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  1. Robert Artebrant
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Correspondence to Robert Artebrant.

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AMS: 35L65; 35L45; 65M06; 76N15

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Artebrant, R. Third Order Accurate Non-Polynomial Reconstruction on Rectangular and Triangular Meshes. J Sci Comput 30, 193–221 (2007). https://doi.org/10.1007/s10915-005-9063-7

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  • DOI: https://doi.org/10.1007/s10915-005-9063-7

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