Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
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Publication:349860
DOI10.1016/j.jcp.2015.03.015zbMath1349.76312OpenAlexW1994274116MaRDI QIDQ349860
Walter Boscheri, Michael Dumbser, Raphaël Loubère
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.03.015
hyperbolic conservation lawshigh order of accuracy in space and timeADER schemeshigh performance computing (HPC)MOOD paradigma posteriori limiterArbitrary-Lagrangian-Eulerianmoving unstructured triangular and tetrahedral meshes
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Uses Software
Cites Work
- On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws
- Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- A second‐order cell‐centered Lagrangian scheme for two‐dimensional compressible flow problems
- The exact solution of the Riemann problem in relativistic magnetohydrodynamics
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- MOOD
- An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes
- Fast optimization-based conservative remap of scalar fields through aggregate mass transfer
- Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
- Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers
- A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D
- A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes
- Numerical analysis of flow-induced nonlinear vibrations of an airfoil with three degrees of freedom
- One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods
- A new exceptional points method with application to cell-centered Lagrangian schemes and curved meshes
- Hybrid remap for multi-material ALE
- Synchronized flux corrected remapping for ALE methods
- A high-order one-step sub-cell force-based discretization for cell-centered Lagrangian hydrodynamics on polygonal grids
- Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
- Numerical simulation of interaction between turbulent flow and a vibrating airfoil
- WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions
- Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
- A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- A sixth-order finite volume method for the 1D biharmonic operator: application to intramedullary nail simulation
- A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- HLLC solver for ideal relativistic MHD
- A limiter for PPM that preserves accuracy at smooth extrema
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
- A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction
- Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- Symmetrization of Lagrangian gas dynamics in dimension two and multidimensional solvers
- High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations
- Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
- Vorticity errors in multidimensional Lagrangian codes
- Spectral methods on triangles and other domains
- Momentum advection on a staggered mesh
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- Weighted essentially non-oscillatory schemes on triangular meshes
- AUSM(ALE): A geometrically conservative arbitrary Lagrangian-Eulerian flux splitting scheme
- Galerkin and discontinuous Galerkin spectral/\(hp\) methods
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh. (Reprint)
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Multi-material ALE methods in unstructured grids
- Revisiting wall heating
- ADER: Arbitrary high-order Godunov approach
- The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions
- Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws
- ADER schemes for three-dimensional non-linear hyperbolic systems
- ADER schemes on adaptive triangular meshes for scalar conservation laws
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- Efficient implementation of weighted ENO schemes
- A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry
- Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24--26, 1999
- High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics
- Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes
- A multi-material ReALE method with MOF interface reconstruction
- A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation
- Multi-material pressure relaxation methods for Lagrangian hydrodynamics
- High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics
- A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- Simulation of compressible viscous flow in time-dependent domains
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations
- Modelling wave dynamics of compressible elastic materials
- A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
- ``Curl-\(q\): a vorticity damping artificial viscosity for essentially irrotational Lagrangian hydrodynamics calculations
- Derivative Riemann solvers for systems of conservation laws and ader methods
- Lagrangian gas dynamics in two dimensions and Lagrangian systems
- A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation
- An improved exact Riemann solver for relativistic hydrodynamics
- Multi-dimensional Optimal Order Detection (MOOD) — a Very High-Order Finite Volume Scheme for Conservation Laws on Unstructured Meshes
- Formulation of a Staggered Two-Dimensional Lagrangian Scheme by Means of Cell-Centered Approximate Riemann Solver
- A unified sub‐cell force‐based discretization for cell‐centered Lagrangian hydrodynamics on polygonal grids
- Curvilinear finite elements for Lagrangian hydrodynamics
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- MUSTA-type upwind fluxes for non-linear elasticity
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- On Godunov-Type Schemes for Lagrangian Gas Dynamics
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
- Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
- 3D staggered Lagrangian hydrodynamics scheme with cell‐centered Riemann solver‐based artificial viscosity
- A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids
- WENO Schemes for Mixed-element Unstructured Meshes
