Well-balanced computations of weak local residuals for the shallow water equations

Stephen Gwyn Roberts, Sudi Mungkasi

Abstract


The one-dimensional shallow water equations describe mass conservation and momentum conservation. We propose a well-balanced numerical technique for computing weak local residuals of the momentum equation. We compare the performance of weak local residuals of the momentum equation to those of the mass equation. All weak local residuals behave similarly.

References

Keywords


weak local residual, local truncation error, smoothness indicator, shock detector, finite volume method, shallow water equations, balance laws, conservation laws

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DOI: http://dx.doi.org/10.21914/anziamj.v56i0.9369



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.