A Semi-discrete SUPG Method for Contaminant Transport in Shallow Water Models | Zendy

Faranak Behzadi | Zendy; James C. Newman | Zendy

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A Semi-discrete SUPG Method for Contaminant Transport in Shallow Water Models

Author(s) -

Faranak Behzadi,

James C. Newman

Publication year - 2016

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2016.05.476

Subject(s) - polygon mesh , robustness (evolution) , computer science , nonlinear system , shallow water equations , finite element method , mathematics , newton's method , residual , mathematical optimization , petrov–galerkin method , algorithm , mathematical analysis , structural engineering , biochemistry , chemistry , physics , computer graphics (images) , quantum mechanics , engineering , gene

In the present paper, a finite element model is developed based on a semi-discrete Streamline Upwind Petrov-Galerkin method to solve the fully-coupled two-dimensional shallow water and contaminant transport equations on a non-flat bed. The algorithm is applied on fixed computational meshes. Linear triangular elements are used to decompose the computational domain and a second-order backward differentiation implicit method is used for the time integration. The resulting nonlinear system is solved using a Newton-type method where the linear system is solved at each step using the Generalized Minimal Residual method. In order to examine the accuracy and robustness of the present scheme, numerical results are verified by different test cases

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