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High order methods for CFD

Abstract : We provide a review of high order methods for CFD. Besides recalling some classical methods, we show a framework allowing on one hand to see and work with these methods under a different light, and on the other to provide a different path to construct numerical methods for flow equations. In particular, we focus on Residual Based techniques, and Residual Distribution methods, as a framework to construct schemes of arbitrary order. The somewhat classical second-order multidimensional upwind fluctuation-splitting/residual-distribution schemes are reviewed in the chapter by Deconinck and Ricchiuto.
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https://hal.inria.fr/hal-01444075
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Submitted on : Friday, October 27, 2017 - 3:30:58 PM
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Remi Abgrall, Mario Ricchiuto. High order methods for CFD. Encyclopedia of Computational Mechanics, John Wiley & Sons, Ltd, 2017. ⟨hal-01444075⟩

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