A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings
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Publication:283324
DOI10.1007/s10915-015-0027-2zbMath1338.65228OpenAlexW1972177578MaRDI QIDQ283324
F. Blanchet-Sadri, M. Dambrine
Publication date: 13 May 2016
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-015-0027-2
numerical exampleartificial viscositydiffusion algorithmdiscontinuous Galerkin finite element methodnumerical regularizationslope limitingspectral filterssystem of nonlinear advection-diffusion-reaction equations
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (9)
A new vertex-based limiting approach for nodal discontinuous Galerkin methods on arbitrary unstructured meshes ⋮ An oscillation-free discontinuous Galerkin method for shallow water equations ⋮ Adaptive modal filters based on artificial and spectral viscosity techniques ⋮ An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience ⋮ A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method ⋮ Runge-Kutta discontinuous Galerkin method for Baer-Nunziato model with `simple WENO' limiting of conservative variables ⋮ Performance comparison of HPX versus traditional parallelization strategies for the discontinuous Galerkin method ⋮ Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver
Uses Software
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