A high resolution PDE approach to quadrilateral mesh generation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:399

Article

Marcon, Julian¹  Kopriva, David A.^2,3  Sherwin, Spencer J.¹  Peiro, Joaquim¹ 

[1] Imperial Coll London, South Kensington Campus, London SW7 2AZ, England

[2] Florida State Univ, Tallahassee, FL 32306 USA

[3] San Diego State Univ, San Diego, CA 92182 USA

关键词: Cross field;    Quad meshing;    High order;    Spectral element method;    Irregular node characterization;   

DOI  :  10.1016/j.jcp.2019.108918

来源: Elsevier

【 摘 要 】

We describe a high order technique to generate quadrilateral decompositions and meshes for complex two dimensional domains using spectral elements in a field guided procedure. Inspired by cross field methods, we never actually compute crosses. Instead, we compute a high order accurate guiding field using a continuous Galerkin (CG) or discontinuous Galerkin (DG) spectral element method to solve a Laplace equation for each of the field variables using the open source code Nektar++. The spectral method provides spectral convergence and sub-element resolution of the fields. The DG approximation allows meshing of corners that are not multiples of pi/2 in a discretization consistent manner, when needed. The high order field can then be exploited to accurately find irregular nodes, and can be accurately integrated using a high order separatrix integration method to avoid features like limit cycles. The result is a mesh with naturally curved quadrilateral elements that do not need to be curved a posteriori to eliminate invalid elements. The mesh generation procedure is implemented in the open source mesh generation program NekMesh. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free