p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator
From MaRDI portal
Publication:2087767
DOI10.1007/s13137-022-00208-3OpenAlexW4304185418MaRDI QIDQ2087767
Vadym Aizinger, Sara Faghih-Naini
Publication date: 21 October 2022
Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13137-022-00208-3
shallow water equationsdiscontinuous Galerkin methodquadrature-freeerror and smoothness indicatorOcean modelingp-adaptivity
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fluid mechanics (76-XX) Geophysics (86-XX)
Uses Software
Cites Work
- A parameter-free smoothness indicator for high-resolution finite element schemes
- A hierarchical scale separation approach for the hybridized discontinuous Galerkin method
- FESTUNG: a MATLAB/GNU octave toolbox for the discontinuous Galerkin method. II: Advection operator and slope limiting
- Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
- Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations
- Scale separation in fast hierarchical solvers for discontinuous Galerkin methods
- A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods
- FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- FESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operator
- Generation of block structured grids on complex domains for high performance simulation
- New directional vector limiters for discontinuous Galerkin methods
- A semi-implicit, semi-Lagrangian, \(p\)-adaptive discontinuous Galerkin method for the shallow water equations
- A comparison of refinement indicators for \(p\)-adaptive simulations of steady and unsteady flows using discontinuous Galerkin methods
- A dynamic \(p\)-adaptive discontinuous Galerkin method for viscous flow with shocks
- Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws
- An hp-adaptive discontinuous Galerkin method for shallow water flows
- The vectorization of ITPACK 2C
- Total variation diminishing Runge-Kutta schemes
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- Finite Volume Methods for Hyperbolic Problems
- A split‐characteristic based finite element model for the shallow water equations