A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
From MaRDI portal
Publication:4898056
DOI10.1002/fld.2654zbMath1253.76058OpenAlexW1693063735MaRDI QIDQ4898056
E. Casoni, Antonio Huerta, Jaime Peraire
Publication date: 29 December 2012
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2117/79336
adaptivitycompressible flowshock-capturingdiscontinuous GalerkinEuler flowdiscontinous enrichmenthigh order Euler equations
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) Compressible fluids and gas dynamics (76N99)
Related Items
A neural network based shock detection and localization approach for discontinuous Galerkin methods, A data-driven high order sub-cell artificial viscosity for the discontinuous Galerkin spectral element method, \textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations, A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space, Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods, Generalised summation-by-parts operators and variable coefficients, Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method, \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws, Hybrid spectral difference/embedded finite volume method for conservation laws, Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information, An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations, Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble, A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers, An efficient hp-adaptive strategy for a level-set ghost-fluid method, Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes, Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, Development of an implicit high-order flux reconstruction solver for high-speed flows on simplex elements, A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids, A framework for high-fidelity particle tracking on massively parallel systems, Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods, High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods, FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws, \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction, A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions, A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime, A spectral difference lattice Boltzmann method for solution of inviscid compressible flows on structured grids, Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes, An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions, \(P_0\) time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws, Lyapunov exponents and adaptive mesh refinement for high-speed flows using a discontinuous Galerkin scheme, A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes, Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations, Shock capturing by Bernstein polynomials for scalar conservation laws, Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points, A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes, Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes, Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method, A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD, A p-adaptive discontinuous Galerkin method with hp-shock capturing, Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- High-order finite volume methods and multiresolution reproducing kernels
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- The numerical simulation of two-dimensional fluid flow with strong shocks
- 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
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- An unconditionally stable method for the Euler equations
- Parallel, adaptive finite element methods for conservation laws
- Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov's method
- Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint)
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- Adaptive mesh strategies for the spectral element method
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- Limiters for high-order discontinuous Galerkin methods
- An evaluation of several differencing methods for inviscid fluid flow problems
- NURBS-enhanced finite element method (NEFEM)
- A collocated finite volume method for predicting flows at all speeds
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Finite Volume Methods for Hyperbolic Problems
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- Spectral methods for hyperbolic problems
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
- A high-resolution pressure-based algorithm for fluid flow at all speeds
