Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
From MaRDI portal
Publication:5214838
DOI10.1137/18M1223939zbMath1434.76062arXiv1811.00057MaRDI QIDQ5214838
Nathaniel R. Morgan, Konstantin N. Lipnikov, Svetlana Tokareva, Remi Abgrall
Publication date: 5 February 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.00057
finite elementsLagrangian hydrodynamicsresidual distribution schemematrix-free methodmultidimensional staggered grid scheme
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) Viscosity solutions to PDEs (35D40)
Related Items (6)
A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ 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 ⋮ Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
Cites Work
- Positivity-preserving Lagrangian scheme for multi-material compressible flow
- A Lagrangian staggered grid Godunov-like approach for hydrodynamics
- 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
- Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
- A high-order nonconservative approach for hyperbolic equations in fluid dynamics
- 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
- Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- High-order fluctuation schemes on triangular meshes
- A Lagrangian discontinuous Galerkin hydrodynamic method
- Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws
- Some remarks about conservation for residual distribution schemes
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics
- A comparative study of interface reconstruction methods for multi-material ALE simulations
- Stabilized shock hydrodynamics. I: A Lagrangian method
- A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations
- How to Avoid Mass Matrix for Linear Hyperbolic Problems
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
- Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
- A compatible finite element multi‐material ALE hydrodynamics algorithm
- A Method for the Numerical Calculation of Hydrodynamic Shocks
This page was built for publication: Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
