Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
From MaRDI portal
Publication:5372665
DOI10.1137/16M1078781zbMath1374.76099MaRDI QIDQ5372665
Remi Abgrall, Svetlana Tokareva
Publication date: 27 October 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) 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)
Related Items (16)
A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations ⋮ Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting ⋮ The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications ⋮ High-order curvilinear finite element magneto-hydrodynamics. I: A conservative Lagrangian scheme ⋮ Staggered Schemes for Compressible Flow: A General Construction ⋮ A Personal Discussion on Conservation, and How to Formulate It ⋮ A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations ⋮ Second-order invariant domain preserving ALE approximation of hyperbolic systems ⋮ Conservative High-Order Time Integration for Lagrangian Hydrodynamics ⋮ A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes ⋮ Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws ⋮ Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics ⋮ High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation ⋮ High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids ⋮ Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
Uses Software
Cites Work
- Positivity-preserving Lagrangian scheme for multi-material compressible flow
- 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
- High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes
- Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
- Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
- Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. I: The one-dimensional case
- Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case
- Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case
- The numerical simulation of two-dimensional fluid flow with strong shocks
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- High-order fluctuation schemes on triangular meshes
- Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws
- High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows
- A 3D GCL compatible cell-centered Lagrangian scheme for solving gas dynamics equations
- FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps
- Stabilized shock hydrodynamics. I: A Lagrangian method
- A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations
- On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
- How to Avoid Mass Matrix for Linear Hyperbolic Problems
- Explicit staggered schemes for the compressible euler equations
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Godunov-Type Schemes for Lagrangian Gas Dynamics
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
- A compatible finite element multi‐material ALE hydrodynamics algorithm
- A Method for the Numerical Calculation of Hydrodynamic Shocks
This page was built for publication: Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics