A limiting approach for DG discretizations on mixed type meshes
DOI10.1016/j.cma.2014.11.004zbMath1423.76249OpenAlexW2063497570MaRDI QIDQ1798586
Konstantinos Kontzialis, Konstantinos T. Panourgias, John A. Ekaterinaris
Publication date: 23 October 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.11.004
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shock waves and blast waves in fluid mechanics (76L05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (6)
Cites Work
- Unnamed Item
- Local DG method using WENO type limiters for convection-diffusion problems
- Discontinuous Galerkin methods applied to shock and blast problems
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
- Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods
- Nodal discontinuous Galerkin methods on graphics processors
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- Development of nonlinear weighted compact schemes with increasingly higher order accuracy
- A priori mesh quality estimation via direct relation between truncation error and mesh distortion
- Development of an adaptive discontinuous-Galerkin finite element method for advection-reaction equations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- The numerical simulation of two-dimensional fluid flow with strong shocks
- An h-p adaptive finite element method for the numerical simulation of compressible flow
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Spectral methods on triangles and other domains
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
- Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. II: Efficient flux quadrature.
- Resolution of high order WENO schemes for complicated flow structures.
- An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
- Large calculation of the flow over a hypersonic vehicle using a GPU
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- Limiters for high-order discontinuous Galerkin methods
- A spacetime discontinuous Galerkin method for scalar conservation laws
- Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- TVB Uniformly High-Order Schemes for Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Error Estimates for Adaptive Finite Element Computations
- CONVERGENCE OF THE DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
- An efficient implicit discontinuous spectral Galerkin method
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