Cell-vertex discretization on mixed meshes


Contact
Sergey.Danilov [ at ] awi.de

Abstract

Finite-volume discretizations can be formulated on unstructured meshes composed of different polygons. A staggered cell-vertex finite-volume discretization of shallow water equations is analyzed on mixed meshes composed of triangles and quads. Although triangular meshes are most flexible geometrically, quads are more efficient numerically and do not support spurious inertial modes of triangular cell-vertex discretization. Mixed meshes composed of triangles and quads combine benefits of both. In particular, triangular transitional zones can be used to join quadrilateral meshes of differing resolution. Based on a set of examples involving shallow water equations it is shown that mixed meshes offer a viable approach provided some background biharmonic viscosity (or biharmonic filter) is added to stabilize the triangular part of the mesh.



Item Type
Conference (Talk)
Authors
Divisions
Primary Division
Programs
Primary Topic
Peer revision
Not peer-reviewed
Publication Status
Published
Event Details
IMUM2014, 25 Aug 2014 - 28 Aug 2014, Lisbon.
Eprint ID
36229
Cite as
Danilov, S. and Androsov, A. (2014): Cell-vertex discretization on mixed meshes , IMUM2014, Lisbon, 25 August 2014 - 28 August 2014 .


Share

Research Platforms
N/A

Campaigns


Actions
Edit Item Edit Item