Discontinuous Galerkin methods applied to shock and blast problems
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Publication:556022
DOI10.1007/s10915-004-4138-4zbMath1065.76134OpenAlexW2045551418MaRDI QIDQ556022
Publication date: 13 June 2005
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-004-4138-4
Shock waves and blast waves in fluid mechanics (76L05) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
- Automatic mesh update with the solid-extension mesh moving technique
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient solution algorithms for the Riemann problem for real gases
- Computing interface motion in compressible gas dynamics
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Parallel, adaptive finite element methods for conservation laws
- Modelling merging and fragmentation in multiphase flows with SURFER
- A level set approach for computing solutions to incompressible two-phase flow
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems
- Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions
- A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
- 3D anisotropic mesh adaptation by mesh modification
- Basis Functions for Triangular and Quadrilateral High-Order Elements
- Total variation diminishing Runge-Kutta schemes
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- Finite element methods for flow problems with moving boundaries and interfaces
- Coupling and Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method.
