Intercomparison between finite element and finite volume approaches to model North Sea tides

Maßmann, Silvia; Androsov, Alexey; Danilov, Sergey

doi:10.1016/j.csr.2009.07.004

Cited by 15 publications

(22 citation statements)

References 27 publications

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“…The projected velocity is then used to estimate the advection term. Finally we proceed as usual by multiplying the result with a P NC 1 basis function and integrating over the domain [11]. This results in a very stable behaviour.…”

Section: Momentum Advection Schemementioning

confidence: 99%

See 1 more Smart Citation

Tsunami Wave Propagation

Androsov¹,

Harig²,

Fuchs³

et al. 2013

Wave Propagation Theories and Applications

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Section: Momentum Advection Schemementioning

confidence: 99%

“…in which the correction terms depending on q n+1 are nothing else but the calculated integral terms of (11) and (12). The factor 2∆t arises from using the leapfrog time-stepping scheme.…”

Section: Discretizationmentioning

confidence: 99%

Tsunami Wave Propagation

Androsov¹,

Harig²,

Fuchs³

et al. 2013

Wave Propagation Theories and Applications

Self Cite

View full text Add to dashboard Cite

“…The projected velocity is then used to estimate the advection term. Finally, the result is multiplied with a P NC 1 basis function and integrated over the domain (Maßmann et al, 2008). This results in a very stable behaviour.…”

Section: Momentum Advection Schemementioning

confidence: 99%

Operational tsunami modelling with TsunAWI – recent developments and applications

Rakowsky

Androsov

Fuchs

et al. 2013

Nat. Hazards Earth Syst. Sci.

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In this article, the tsunami model TsunAWI (Alfred Wegener Institute) and its application for hindcasts, inundation studies, and the operation of the tsunami scenario repository for the Indonesian tsunami early warning system are presented. TsunAWI was developed in the framework of the German-Indonesian Tsunami Early Warning System (GITEWS) and simulates all stages of a tsunami from the origin and the propagation in the ocean to the arrival at the coast and the inundation on land. It solves the non-linear shallow water equations on an unstructured finite element grid that allows to change the resolution seamlessly between a coarse grid in the deep ocean and a fine representation of coastal structures. During the GITEWS project and the following maintenance phase, TsunAWI and a framework of pre- and postprocessing routines was developed step by step to provide fast computation of enhanced model physics and to deliver high quality results

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“…It is a well explored domain characterized by complex geometry and high barotropic tidal activity (see, for example, Defant (1961); Davis et al (1985); Maßmann et al (2010)). Besides, a large amount of observations is available for this region helping to validate the model.…”

Section: Tide Simulations For the North Seamentioning

confidence: 99%

“…We will use v(c) to denote non-repeating vertices of triangles (v(c) lists the first vertex twice). As concerns the time stepping implementation, we use the methods described in Maßmann et al (2010). To facilitate reading we concentrate on the AB3-AM4 (Adams-Bashforth AdamsMulton) time stepping as recommended in Shchepetkin and McWilliams (2005).…”

Section: Introductionmentioning

confidence: 99%

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

Danilov

Androsov

2014

Ocean Dynamics

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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.

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Intercomparison between finite element and finite volume approaches to model North Sea tides

Cited by 15 publications

References 27 publications

Tsunami Wave Propagation

Tsunami Wave Propagation

Operational tsunami modelling with TsunAWI – recent developments and applications

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

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