APPLICATION OF NUMERICAL FILTER TO A TAYLOR GALERKIN FINITE ELEMENT MODEL FOR MOVABLE BED DAM BREAK FLOWS

A discontinuous Galerkin finite element model for river bed evolution under shallow flows

The accurate representation of morphodynamic processes and the ability to propagate changes in the riverbed over a wide range of space and time scales make the design and implementation of appropriate numerical schemes challenging. In particular, requirements of accuracy and stability for medium and long term simulations are difficult to meet. In this work, the derivation, design, and implement...

A Taylor - Galerkin Finite Element Algorithm for Transient Nonlinear Thermal

A Tay lo r -Ga le rk in f i n i t e element method f o r s o l v i n g large, non l i nea r t h e r m a l s t r u c t u r a l problems i s presented. The a l g o r i t h m i s formulated f o r coupled t r a n s i e n t and uncoupled quasi s t a t i c thermal s t r u c t u r a l problems. V e c t o r i z i n g s t r a t e g i e s ensure computat ional e f f i c i e n c y . Two a p p l i c a t i ...

Discontinuous Galerkin Finite Element Method for Inviscid Compressible Flows

This paper presents the development of an algorithm based on the discontinuous Galerkin finite element method (DGFEM) for the Euler equations of gas dynamics. The DGFEM is a mixture of a finite volume and finite element method. In the DGFEM the unknowns in each element are locally expanded in a polynomial series and thus the information about the flow state at the element faces can be directly ...

Discontinuous Galerkin finite element method for shallow two-phase flows

We present a discontinuous Galerkin finite element method for two depth-averaged two-phase flow models. One of these models contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. (2008) J. Comput. Phys. 227, 1887-1922. The other model is a new depth-averaged two-phase flow model we introduce for shallow two-phase flows th...

Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows