Space–time SUPG formulation of the shallow‐water equations
- 9 November 2010
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 64 (10-12) , 1379-1394
Abstract
We present a new space–time SUPG formulation of the shallow‐water equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shock‐capturing parameter. In the context of two test problems, we evaluate the performance of the new shock‐capturing parameter. We also evaluate the performance of the space–time SUPG formulation compared to the semi‐discrete SUPG formulation, where the system of semi‐discrete equations is solved with the central‐difference (Crank–Nicolson) time‐integration algorithm. Copyright © 2010 John Wiley & Sons, Ltd.Keywords
This publication has 40 references indexed in Scilit:
- A Multiscale Finite Element Formulation With Discontinuity Capturing for Turbulence Models With Dominant Reactionlike TermsJournal of Applied Mechanics, 2009
- Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and YZβ Shock-CapturingJournal of Applied Mechanics, 2009
- Three-Dimensional Edge-Based SUPG Computation of Inviscid Compressible Flows With YZβ Shock-CapturingJournal of Applied Mechanics, 2009
- Computation of inviscid compressible flows with the V‐SGS stabilization and YZβ shock‐capturingInternational Journal for Numerical Methods in Fluids, 2007
- Computation of Inviscid Supersonic Flows Around Cylinders and Spheres with the SUPG Formulation and YZβ Shock-CapturingComputational Mechanics, 2006
- Compressible flow SUPG parameters computed from element matricesCommunications in Numerical Methods in Engineering, 2005
- Edge-based finite element method for shallow water equationsInternational Journal for Numerical Methods in Fluids, 2001
- Finite element methods for flow problems with moving boundaries and interfacesArchives of Computational Methods in Engineering, 2001
- Finite element method for moving boundary problems in river flowInternational Journal for Numerical Methods in Fluids, 1986
- Numerical analysis of a moving boundary problem in coastal hydrodynamicsInternational Journal for Numerical Methods in Fluids, 1983