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Numerical Algorithms
Published in: Numerical Algorithms 1/2021

15-11-2020 | Original Paper

Modified third and fifth order WENO schemes for inviscid compressible flows

Authors: Naga Raju Gande, Ashlesha A. Bhise

Published in: Numerical Algorithms | Issue 1/2021

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Abstract

The weighted essentially non-oscillatory schemes are well known for their shock captu- ring abilities due to their properties resulting from weighted combination reconstruction taken such that less weight is given to less smooth stencils. In this article, contrary to this property, the analysis has been done by adding extra weight to less smooth substencils of the domain that in turn adds the useful information which plays a vital role in improving resolution of the solution mainly at discontinuities or sharp gradients. The theoretical aspects have been supported with scalar, one-dimensional as well as two-dimensional test problems for third- and fifth-order schemes. Numerical solutions obtained by the proposed third-order scheme are comparable to the numerical solutions obtained using some of the native fifth-order WENO schemes.
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Metadata
Title
Modified third and fifth order WENO schemes for inviscid compressible flows
Authors
Naga Raju Gande
Ashlesha A. Bhise
Publication date
15-11-2020
Publisher
Springer US
Published in
Numerical Algorithms / Issue 1/2021
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-01039-9

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