A cell-centered indirect arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability

DOI10.1016/j.jcp.2021.110368OpenAlexW3155238268MaRDI QIDQ2124416

Wenbin Wu, Moubin Liu, A.-Man Zhang

Publication date: 11 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110368

zbMATH Keywords

Lagrangian hydrodynamicscompressible Euler equationsRunge-Kutta discontinuous Galerkin methodcell-centered schemeindirect arbitrary Lagrangian Eulerianmoving unstructured triangles with topological adaptability

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx)

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A Hybrid Multiscale Finite Cloud Method and Finite Volume Method in Solving High Gradient Problem, A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow, A high order positivity-preserving polynomial projection remapping method

Uses Software

• HE-E1GODF
• ReALE

Cites Work

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• A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping
• 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
• Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
• ReALE: a Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry
• A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
• RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations
• Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes
• High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes
• Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)
• Adaptive reconnection-based arbitrary Lagrangian Eulerian method
• A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
• Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
• A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction
• A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• An efficient, accurate, simple ALE method for nonlinear finite element programs
• Computational methods in Lagrangian and Eulerian hydrocodes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
• Introduction to ``An arbitrary Lagrangian-Eulerian computing method for all flow speeds
• A superconvergence result for discontinuous Galerkin methods applied to elliptic problems.
• The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions
• High order accurate conservative remapping scheme on polygonal meshes using \textit{a posteriori} MOOD limiting
• A Lagrangian discontinuous Galerkin hydrodynamic method
• Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
• 3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method
• An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics
• A multi-material ReALE method with MOF interface reconstruction
• High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
• A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation
• Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics
• A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme
• An arbitrary Lagrangian-Eulerian RKDG method for compressible Euler equations on unstructured meshes: single-material flow
• A rezoning-free CESE scheme for solving the compressible Euler equations on moving unstructured meshes
• High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes
• A Lagrangian finite element method for 3D compressible flow applications
• Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates
• Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics
• A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
• Lagrangian gas dynamics in two dimensions and Lagrangian systems
• A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
• High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
• A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method
• A Multi-Material CCALE-MOF Approach in Cylindrical Geometry
• A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions