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JSCIC
2008
66views more  JSCIC 2008»
13 years 4 months ago
Mesh Redistribution Strategies and Finite Element Schemes for Hyperbolic Conservation Laws
In this work we consider a new class of Relaxation Finite Element schemes for Conservation Laws, with more stable behavior on the limit area of the relaxation parameter. Combine t...
Christos Arvanitis
JSCIC
2006
92views more  JSCIC 2006»
13 years 4 months ago
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much a...
Ruo Li, Tao Tang
JCAM
2010
111views more  JCAM 2010»
12 years 11 months ago
Finite element simulation of compressible particle-laden gas flows
A macroscopic two-fluid model of compressible particle-laden gas flows is considered. The governing equations are discretized by a high-resolution finite element method based on a...
Marcel Gurris, Dmitri Kuzmin, Stefan Turek
SIAMSC
2010
170views more  SIAMSC 2010»
12 years 11 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
JCAM
2010
116views more  JCAM 2010»
12 years 11 months ago
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
Dmitri Kuzmin