Imperial College London
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ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

318City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Marcon:2019:10.1016/j.jcp.2019.108918,
author = {Marcon, J and Kopriva, DA and Sherwin, SJ and Peiro, J},
doi = {10.1016/j.jcp.2019.108918},
journal = {Journal of Computational Physics},
pages = {1--17},
title = {A high resolution PDE approach to quadrilateral mesh generation},
url = {http://dx.doi.org/10.1016/j.jcp.2019.108918},
volume = {399},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Marcon,J
AU  - Kopriva,DA
AU  - Sherwin,SJ
AU  - Peiro,J
DO  - 10.1016/j.jcp.2019.108918
EP  - 17
PY  - 2019///
SN  - 0021-9991
SP  - 1
TI  - A high resolution PDE approach to quadrilateral mesh generation
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2019.108918
UR  - http://arxiv.org/abs/1901.02405v1
UR  - https://www.sciencedirect.com/science/article/pii/S0021999119306230?via%3Dihub
UR  - http://hdl.handle.net/10044/1/73081
VL  - 399
ER  -
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