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• W4313334523 startingPage "111826" @default.
• W4313334523 abstract "In this paper, we develop a high-order positivity-preserving polynomial projection remapping method based on the L2 projection for the discontinuous Galerkin (DG) scheme. Combined with the Lagrangian type DG scheme and the rezoning strategies, we present an indirect arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method. By clipping precisely the intersections between the old distorted mesh and the new rezoned mesh, our remapping method is high-order accurate and has no limitation for the mesh movements, so it is suitable for the large deformable problems. A positivity-preserving limiter is also added for the physical variables in computational fluid dynamics without losing the original high-order accuracy and conservation. A multi-resolution weighted essentially non-oscillatory (WENO) limiter is adopted to overcome numerical oscillations and it can keep the original high-order accuracy in the smooth region. This WENO limiter combines several different degrees of polynomials which are the local L2 projections of the original polynomial with nonlinear weights calculated by their smoothness, therefore, it is highly parallel efficient. The properties of positivity-preserving, non-oscillation and high-order accuracy of the remapping method will be shown by a variety of numerical experiments on one, two and three dimensional unstructured meshes. The performance of the ALE-DG scheme with rezoning and remapping is also tested for the Euler system in one and two dimensions." @default.
• W4313334523 created "2023-01-06" @default.
• W4313334523 creator A5066398171 @default.
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• W4313334523 date "2023-02-01" @default.
• W4313334523 modified "2023-10-14" @default.
• W4313334523 title "A high order positivity-preserving polynomial projection remapping method" @default.
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• W4313334523 doi "https://doi.org/10.1016/j.jcp.2022.111826" @default.
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