A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:399

Article

Lipnikov, Konstantin¹  Morgan, Nathaniel² 

[1] Los Alamos Natl Lab, Appl Math & Plasma Phys Grp, Theoret Div, Mail Stop B284, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Methods & Algorithms Grp, X Computat Phys Div, Mail Stop B284, Los Alamos, NM 87545 USA

关键词: Advection-based remap;    High-order schemes;    Polygonal meshes;    Discontinuous Galerkin;    Curvilinear meshes;    Data remap;   

DOI  :  10.1016/j.jcp.2019.108931

来源: Elsevier

【 摘 要 】

A data transfer (called later remap) of physical fields between two meshes is an important step of arbitrary Lagrangian-Eulerian (ALE) simulations. This step is challenging for high-order discontinuous Galerkin schemes since the Lagrangian flow motion leads to high-order meshes with curved faces. It becomes even more challenging for unstructured polygonal meshes that do not have a polynomial map from the reference to a current cell. We propose and analyze a new framework to create remap schemes on curvilinear polygonal meshes based on the theory of virtual element projectors. We derive a conservative remap scheme that is high-order accurate in space and time. The properties of this scheme are studied numerically for smooth and discontinuous fields on unstructured quadrilateral and polygonal meshes. Published by Elsevier Inc.

【 授权许可】

Free