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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