Abstract
AbstractOne of the bottlenecks for high-order numerical methods on unstructured grids is the design of effective and robust limiters for the simulation of flow with discontinuities. The challenge is to maintain the high-order accuracy in smooth regions while capturing the discontinuities in high resolutions without oscillations. This chapter will provide several high order and high resolution nonoscillatory limiters for the high-order FVM. Before introducing the unstructured FVM limiter, we review the historical research for the nonoscillatory schemes in the development of computational fluid methods.KeywordsSmoothness IndicatorsSmooth IndenterCandidate PolynomialsShock DetectionWENO SchemeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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