A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics-Reference-Cited by-同舟云学术

A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics

Published:2012-04-17 Issue:5 Volume:71 Page:584-633
ISSN:0271-2091
Container-title:International Journal for Numerical Methods in Fluids
language:en
Short-container-title:Int. J. Numer. Meth. Fluids

Author:

Delis A. I.¹,Nikolos I. K.²

Affiliation:

1. Division of Mathematics, Department of Sciences; Technical University of Crete, University Campus; Chania; Crete; 73100; Greece

2. Department of Production Engineering and Management; Technical University of Crete, University Campus; Chania; Crete; 73100; Greece

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/fld.3674/fullpdf

Reference78 articles.

1. Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes;Bermudez;Computer Methods in Applied Mechanics and Engineering,1998

2. Balancing source terms and flux gradients in high-resolution Godunov-type methods;Leveque;Journal of Computational Physics,1998

3. Flux difference splitting and the balancing of source terms and flux gradients;Hubbard;Journal of Computational Physics,2000

4. The surface gradient method for the treatment of source terms in the shallow water equations;Zhou;Journal of Computational Physics,2001

5. A robust high resolution finite volume scheme for the simulation of long waves over complex domain;Delis;International Journal for Numerical Methods in Fluids,2008

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