A modified Galerkin/finite element method for the numerical solution of the Serre-Green-Naghdi system
نویسندگان
چکیده
منابع مشابه
A Modified Galerkin / Finite Element Method for the Numerical Solution of the Serre-green-naghdi System
A new modified Galerkin / Finite Element Method is proposed for the numerical solution of the fully nonlinear shallow water wave equations. The new numerical method allows the use of low-order Lagrange finite element spaces, despite the fact that the system contains third order spatial partial derivatives for the depth averaged velocity of the fluid. After studying the efficacy and the conserva...
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متن کاملA quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations
The Serre–Green–Naghdi (SGN) equations, also known as the fully-nonlinear Boussinesq wave equations, accurately describe the behaviour of dispersive shoaling water waves. This article presents and validates a novel combination of methods for the numerical approximation of solutions to the SGN equations. The approach preserves the robustness of the original finite-volume Saint-Venant solver, in ...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2016
ISSN: 0271-2091
DOI: 10.1002/fld.4293