A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics
type: Item
instance of: scholarly article
title: A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics
zbMATH Open document ID: 1381.76212
author: Walter Boscheri
author: Michael Dumbser
author: Raphaël Loubère
author: Pierre-Henri Maire
published in: Journal of Computational Physics
publication date: 2018-02-23T00:00:00Z
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 65M08
zbMATH DE Number: 6842887
zbMATH Keywords: cell-centered Lagrangian finite volume schemes
zbMATH Keywords: Eucclhyd scheme
zbMATH Keywords: moving unstructured meshes
zbMATH Keywords: a posteriori multidimensional optimal order detection limiting
zbMATH Keywords: ADER approach
describes a project that uses: MOOD
describes a project that uses: HE-E1GODF
MaRDI profile type: Publication
full work available at URL: j.jcp.2017.12.040
OpenAlex ID: W2781924101
cites work: Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
cites work: A second-order Godunov-type scheme for compressible fluid dynamics
cites work: An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction
cites work: High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes
cites work: High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes
cites work: Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
cites work: Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
cites work: Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
cites work: Numerical Methods for Eulerian and Lagrangian Conservation Laws
cites work: The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
cites work: A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry
cites work: A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
cites work: A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations
cites work: Q5268550
cites work: A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry
cites work: Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes
cites work: A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
cites work: The MOOD method for the non-conservative shallow-water system
cites work: Lagrangian gas dynamics in two dimensions and Lagrangian systems
cites work: High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
cites work: Curvilinear finite elements for Lagrangian hydrodynamics
cites work: Vorticity errors in multidimensional Lagrangian codes
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
cites work: Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
cites work: A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids
cites work: Slope limiting for vectors: A novel vector limiting algorithm
cites work: A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction
cites work: A 3D GCL compatible cell-centered Lagrangian scheme for solving gas dynamics equations
cites work: Weighted essentially non-oscillatory schemes on triangular meshes
cites work: ADER schemes on adaptive triangular meshes for scalar conservation laws
cites work: High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations
cites work: A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
cites work: Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme
cites work: A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
cites work: A unified sub‐cell force‐based discretization for cell‐centered Lagrangian hydrodynamics on polygonal grids
cites work: A high-order one-step sub-cell force-based discretization for cell-centered Lagrangian hydrodynamics on polygonal grids
cites work: A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
cites work: A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
cites work: A second‐order cell‐centered Lagrangian scheme for two‐dimensional compressible flow problems
cites work: Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
cites work: A Method for the Numerical Calculation of Hydrodynamic Shocks
cites work: High-accurate SPH method with multidimensional optimal order detection limiting
cites work: A hyperbolic model for viscous Newtonian flows
cites work: Simple modifications of monotonicity-preserving limiters
cites work: ADER: A high-order approach for linear hyperbolic systems in 2D
cites work: ADER: Arbitrary high-order Godunov approach
cites work: Riemann Solvers and Numerical Methods for Fluid Dynamics
cites work: Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
cites work: Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case
cites work: Small amplitude theory of Richtmyer–Meshkov instability
cites work: \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
cites work: Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
DOI: 10.1016/J.JCP.2017.12.040
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