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• W4378906552 abstract "We present a high-order accurate, positivity-preserving and well-balanced finite volume scheme for the shallow water equations with variable topography. An unlimited third-order scheme is combined with the recent, second-order accurate Bottom-Surface-Gradient Method (BSGM, [5]). This is monitored by an a-posteriori MOOD (Multidimensional Optimal Order Detection) limiting step [2, 7–9], which detects possible local instabilities of a high-order candidate solution such as loss of positivity or local oscillations, and switches locally to a lower order, stable and robust “parachute” scheme if necessary. We demonstrate the accuracy, effectiveness and robustness of the proposed adaptive methodology with numerical experiments, both for near-equilibrium and non-equilibrium depth-averaged flows." @default.
• W4378906552 created "2023-06-01" @default.
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• W4378906552 date "2023-05-01" @default.
• W4378906552 modified "2023-09-25" @default.
• W4378906552 title "A 3rd/2nd order MOOD limited scheme for the shallow water equations" @default.
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• W4378906552 doi "https://doi.org/10.1002/pamm.202200252" @default.
• W4378906552 hasPublicationYear "2023" @default.
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