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

Stephen Gwyn Roberts, Sudi Mungkasi


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.



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

Full Text:


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

Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.