High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes (Q2122699)

scientific article; zbMATH DE number 7504692

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English	High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes	scientific article; zbMATH DE number 7504692

Statements

instance of

scholarly article

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title

High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes (English)

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author

Yanyan Li

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published in

Journal of Computational Physics

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publication date

7 April 2022

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full work available at URL

https://arxiv.org/abs/1905.00967

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zbMATH Keywords

arbitrary-Lagrangian-Eulerian (ALE) finite volume (FV) and discontinuous Galerkin (DG) schemes

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arbitrary high order in space and time

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moving Voronoi tessellations with topology change

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a posteriori sub-cell finite volume limiter

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fully-discrete one-step ADER approach for hyperbolic PDE

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compressible Euler and MHD equations

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describes a project that uses

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Discrete equations for physical and numerical compressible multiphase mixtures.

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High-Order Multi-Material ALE Hydrodynamics

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The Riemann problem for the Baer-Nunziato two-phase flow model

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A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials

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Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers

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An efficient class of WENO schemes with adaptive order

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A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations

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Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows

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Computational methods in Lagrangian and Eulerian hydrocodes

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Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods

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High order accurate conservative remapping scheme on polygonal meshes using \textit{a posteriori} MOOD limiting

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Adaptive reconnection-based arbitrary Lagrangian Eulerian method

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Fast optimization-based conservative remap of scalar fields through aggregate mass transfer

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High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes

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Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

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A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D

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High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes

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Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes

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A semi‐implicit scheme for 3D free surface flows with high‐order velocity reconstruction on unstructured Voronoi meshes

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High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes

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High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

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Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws

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Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

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High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes

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Well balanced finite volume methods for nearly hydrostatic flows

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A multi-material ReALE method with MOF interface reconstruction

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A cell-centered Lagrangian Godunov-like method for solid dynamics

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Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)

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The implementation of slide lines as a combined force and velocity boundary condition

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The construction of compatible hydrodynamics algorithms utilizing conservation of total energy

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Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws

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High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems

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A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

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A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations

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Lagrange-Flux Schemes and the Entropy Property

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Lagrangian gas dynamics in two dimensions and Lagrangian systems

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Curvilinear finite elements for Lagrangian hydrodynamics

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Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations

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A simple two-phase method for the simulation of complex free surface flows

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A diffuse interface method for complex three-dimensional free surface flows

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Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws

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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

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Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

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FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems

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Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

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A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes

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High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids

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On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

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\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws

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Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes

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Diffuse interface model for compressible fluid -- compressible elastic-plastic solid interaction

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Solid-fluid diffuse interface model in cases of extreme deformations

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Laplacian smoothing and Delaunay triangulations

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Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics

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Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

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A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

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A well balanced diffuse interface method for complex nonhydrostatic free surface flows

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Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes

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A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

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Q5558541

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High-order well-balanced finite volume schemes for the Euler equations with gravitation

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Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting

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Uniformly high order accurate essentially non-oscillatory schemes. III

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ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations

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A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics

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Weighted essentially non-oscillatory schemes on triangular meshes

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The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves

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Multi-fluid flows with the particle finite element method

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On the eigenvalues of the ADER-WENO Galerkin predictor

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A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions

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Efficient implementation of weighted ENO schemes

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Well-balanced schemes for the Euler equations with gravitation

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ADER schemes on adaptive triangular meshes for scalar conservation laws

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Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity

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Hybrid remap for multi-material ALE

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Enhancement of Lagrangian slide lines as a combined force and velocity boundary condition

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Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods

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One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods

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Validation of the particle finite element method (PFEM) for simulation of free surface flows

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Central WENO schemes for hyperbolic systems of conservation laws

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A third order central WENO scheme for 2D conservation laws

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A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws

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The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions

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Synchronized flux corrected remapping for ALE methods

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Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations

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High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations

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A Lagrangian discontinuous Galerkin hydrodynamic method

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A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme

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Least squares quantization in PCM

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3D staggered Lagrangian hydrodynamics scheme with cell‐centered Riemann solver‐based artificial viscosity

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ReALE: a Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry

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Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method

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Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

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A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

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A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids

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A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids

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A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

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A high-order one-step sub-cell force-based discretization for cell-centered Lagrangian hydrodynamics on polygonal grids

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A unified sub‐cell force‐based discretization for cell‐centered Lagrangian hydrodynamics on polygonal grids

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A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

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Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics

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Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods

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Fast randomized point location without preprocessing in two- and three-dimensional Delaunay triangulations

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On Godunov-Type Schemes for Lagrangian Gas Dynamics

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Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form

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Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation

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Possibilities of the particle finite element method for fluid-soil-structure interaction problems

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Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows

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A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements

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Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws

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Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

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A Simple Mesh Generator in MATLAB

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A hyperbolic model for viscous Newtonian flows

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The ALE/Lagrangian particle finite element method: a new approach to computation of free-surface flows and fluid--object interactions

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A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates

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ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework

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An interpolation-free ALE scheme for unsteady inviscid flows computations with large boundary displacements over three-dimensional adaptive grids

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Conservative models and numerical methods for compressible two-phase flow

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Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures

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Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.

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A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids

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A multiphase Godunov method for compressible multifluid and multiphase flows

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Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures

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ADER: A high-order approach for linear hyperbolic systems in 2D

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Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction

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A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

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ADER schemes for three-dimensional non-linear hyperbolic systems

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Derivative Riemann solvers for systems of conservation laws and ader methods

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Riemann Solvers and Numerical Methods for Fluid Dynamics

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Solution of the generalized Riemann problem for advection–reaction equations

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A Method for the Numerical Calculation of Hydrodynamic Shocks

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A high-order discontinuous Galerkin method with unstructured space-time meshes for two-dimensional compressible flows on domains with large deformations

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Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh. (Reprint)

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Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2019.109167

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Sitelinks

Mathematics(1 entry)

mardi Publication:2122699