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High order well balaced schemes for systems of - Philippe LeFloch

High order well balaced schemes for systems of - Philippe LeFloch

High order well balaced schemes for systems of - Philippe LeFloch

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General features <strong>of</strong> the new approachGoal: introduce a methodology to derive• Well balanced property <strong>for</strong> static and moving equilibria• <strong>High</strong> <strong>order</strong> accuracy (depends on WENO)• Applicable to a wide class <strong>of</strong> <strong>systems</strong> with source• Applicable to staggered and unstaggered finite volume <strong>schemes</strong>• At a numerical level requires the solution <strong>of</strong> local equilibria• Conceptually simple

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