Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:420

Article

Lipnikov, Konstantin¹  Morgan, Nathaniel² 

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

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

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

DOI  :  10.1016/j.jcp.2020.109712

来源: Elsevier

【 摘 要 】

A data transfer (remap) between two meshes is an important step of each arbitrary Lagrangian-Eulerian (ALE) simulation. We develop a conservative scheme for remapping-high-order discontinuous Galerkin fields on high-order polytopal meshes with curved faces. This scheme uses a virtual element function to define the remap velocity. We show that the optimal accuracy is achieved when the remap problem is written and is solved as a coupled system of two conservative equations. The properties of the proposed scheme are studied numerically for smooth and discontinuous fields on cubic and prismatic meshes. Published by Elsevier Inc.

【 授权许可】

Free