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arXiv · 2007.06883

A novel regularization strategy for the local discontinuous Galerkin method for level-set reinitialization

Fabian Föll·Christoph Müller·Jonas Zeifang·Claus-Dieter Munz
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Abstract

In this paper we propose a novel regularization strategy for the local discontinuous Galerkin method to solve the Hamilton-Jacobi equation in the context of level-set reinitialization. The novel regularization idea works in analogy to shock-capturing schemes for discontinuous Galerkin methods, which are based on finite volume sub-cells. In this spirit, the local discontinuous Galerkin method is combined with an upwind/downwind finite volume sub-cell discretization, which is applied in areas of low regularity. To ensure the applicability on unstructured meshes, the finite volume discretization is based on a least squares approach.

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Fabian Föll, Christoph Müller, Jonas Zeifang, Claus-Dieter Munz. 2020-07-14. A novel regularization strategy for the local discontinuous Galerkin method for level-set reinitialization. https://doi.org/10.13140/rg.2.2.22079.46240

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