Finite element approximation of quasi-3D shallow water equations
E Miglio, A Quarteroni, F Saleri - Computer methods in applied mechanics …, 1999 - Elsevier
E Miglio, A Quarteroni, F Saleri
Computer methods in applied mechanics and engineering, 1999•Elsevier… In Section 3 we introduce the discretization of the physical domain and the finite element
approximation. Then, we analyze the algebraic form of the problem and show that it is very
suitable to be faced by a parallel strategy. Finally, we show the consistency of 3D-ML-SWE
scheme with the classical 2D-SWE in the case of a single layer. … In this paper we have
proposed a semi-implicit finite element scheme for 2D and 3D shallow water equations: the
velocity field is represented using the so-called Raviart-Thomas finite elements based on flux …
approximation. Then, we analyze the algebraic form of the problem and show that it is very
suitable to be faced by a parallel strategy. Finally, we show the consistency of 3D-ML-SWE
scheme with the classical 2D-SWE in the case of a single layer. … In this paper we have
proposed a semi-implicit finite element scheme for 2D and 3D shallow water equations: the
velocity field is represented using the so-called Raviart-Thomas finite elements based on flux …
A new method to solve the Quasi-3D shallow water equations is proposed. This method combines a suitable mass-preserving finite element approach in the horizontal plane with a conventional conforming finite element (or finite difference) scheme along the vertical.
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