caa a22 4500 60554638X CHVBK 20210128100940.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10236-014-0790-x doi (NATIONALLICENCE)springer-10.1007/s10236-014-0790-x Cell-vertex discretization of shallow water equations on mixed unstructured meshes [Elektronische Daten] [S. Danilov, A. Androsov] 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. Springer-Verlag Berlin Heidelberg, 2014 Unstructured mixed meshes nationallicence Finite-volume discretization nationallicence Shallow water equations nationallicence Filter operators nationallicence Numerical stability nationallicence Tides nationallicence Danilov S. Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany aut Androsov A. Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany aut Ocean Dynamics Springer Berlin Heidelberg 65/1(2015-01-01), 33-47 1616-7341 65:1<33 2015 65 10236 https://doi.org/10.1007/s10236-014-0790-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10236-014-0790-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Danilov S. Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany aut NATIONALLICENCE 700 1- Androsov A. Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Postfach 12-01-61, 27515, Bremerhaven, Germany aut NATIONALLICENCE 773 0- Ocean Dynamics Springer Berlin Heidelberg 65/1(2015-01-01), 33-47 1616-7341 65:1<33 2015 65 10236