Cell-vertex discretization of shallow water equations on mixed unstructured meshes

Verfasser / Beitragende:
[S. Danilov, A. Androsov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Ocean Dynamics, 65/1(2015-01-01), 33-47
Format:
Artikel (online)
ID: 60554638X
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024 7 0 |a 10.1007/s10236-014-0790-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10236-014-0790-x 
245 0 0 |a Cell-vertex discretization of shallow water equations on mixed unstructured meshes  |h [Elektronische Daten]  |c [S. Danilov, A. Androsov] 
520 3 |a 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 the biharmonic filter) is added to stabilize the triangular part of the mesh. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Unstructured mixed meshes  |2 nationallicence 
690 7 |a Finite-volume discretization  |2 nationallicence 
690 7 |a Shallow water equations  |2 nationallicence 
690 7 |a Filter operators  |2 nationallicence 
690 7 |a Numerical stability  |2 nationallicence 
690 7 |a Tides  |2 nationallicence 
700 1 |a Danilov  |D S.  |u Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany  |4 aut 
700 1 |a Androsov  |D A.  |u Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany  |4 aut 
773 0 |t Ocean Dynamics  |d Springer Berlin Heidelberg  |g 65/1(2015-01-01), 33-47  |x 1616-7341  |q 65:1<33  |1 2015  |2 65  |o 10236 
856 4 0 |u https://doi.org/10.1007/s10236-014-0790-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10236-014-0790-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Danilov  |D S.  |u Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Androsov  |D A.  |u Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Ocean Dynamics  |d Springer Berlin Heidelberg  |g 65/1(2015-01-01), 33-47  |x 1616-7341  |q 65:1<33  |1 2015  |2 65  |o 10236