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Accuracy Preserving Limiters for High-Order Finite Volume Methods

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Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

One 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.

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Authors and Affiliations

  1. Tsinghua university, Beijing, China

    Wanai Li

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  1. Wanai Li
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Correspondence to Wanai Li .

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Li, W. (2014). Accuracy Preserving Limiters for High-Order Finite Volume Methods. In: Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43432-1_3

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  • DOI: https://doi.org/10.1007/978-3-662-43432-1_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43431-4

  • Online ISBN: 978-3-662-43432-1

  • eBook Packages: EngineeringEngineering (R0)

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