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The MOOD method for the non-conservative shallow-water system

Abstract : We present an adaptation of the MOOD method, initially introduced in [1,2], for the two-dimensional shallow-water system with varying bathymetry, where the major novelty of the study is the non-conservative term discretization in the framework of the MOOD strategy. We derive a robust sixth-order scheme and propose a large panel of numerical tests to assess the accuracy of the method and show that nu-merical solutions are free of oscillations in the vicinity of discontinuities. We also demonstrate that the MOOD method guarantees the height positivity as long as the first-order scheme does.
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https://hal.archives-ouvertes.fr/hal-01077557
Contributor : Stephane Clain <>
Submitted on : Saturday, October 25, 2014 - 2:31:13 PM
Last modification on : Monday, March 21, 2016 - 11:31:47 AM
Long-term archiving on: : Monday, January 26, 2015 - 10:07:03 AM

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S Clain, J Figueiredo. The MOOD method for the non-conservative shallow-water system. 2014. ⟨hal-01077557⟩

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