A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
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- 作者：Michael Dumbsera ; michael.dumbser@unitn.it" class="auth_mail" title="E-mail the corresponding author ; Raphaë ; l Loubè ; reb ; raphael.loubere@math.univ-toulouse.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Arbitrary high-order discontinuous Galerkin schemes ; A posteriori sub-cell finite volume limiter ; Unstructured triangular and tetrahedral meshes ; Conservation laws and hyperbolic PDE with non-conservative products ; Element-wise checkpointing and restarting ; MOOD paradigm
- 刊名：Journal of Computational Physics
- 出版年：2016
- 出版时间：15 August 2016
- 年：2016
- 卷：319
- 期：Complete
- 页码：163-199
- 全文大小：11287 K
文摘
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New sub-cell finite volume limiter for DG schemes on unstructured meshes in 2D and 3D.
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Simple a posteriori troubled zones indicator.
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Fully automatic sub-grid generation via nodes known from high order iso-parametric FEM.
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The new limiter maintains the DG sub-grid resolution property even at discontinuities.
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Element-wise checkpointing and restarting allows to cure floating point errors (NaN) at runtime.