A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids
DOI10.1016/j.cam.2021.113890zbMath1484.76043OpenAlexW3210617313MaRDI QIDQ2059642
Publication date: 14 December 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113890
Lagrangian dynamicssolidgasstrong shock capturingcubic curvilinear celldiscontinuous Galerkin fourth-order accurate methodhierarchical orthogonal Taylor basis
Shocks and related discontinuities in solid mechanics (74J40) Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05) 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
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Lagrangian staggered grid Godunov-like approach for hydrodynamics
- A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- A high-order one-step sub-cell force-based discretization for cell-centered Lagrangian hydrodynamics on polygonal grids
- A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
- A two-stage fourth-order discontinuous Galerkin method based on the GRP solver for the compressible Euler equations
- Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
- A Godunov-like point-centered essentially Lagrangian hydrodynamic approach
- Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)
- A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Use of artificial viscosity in multidimensional fluid dynamic calculations
- Spectral methods on triangles and other domains
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Reminiscences about difference schemes
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- A high order compact least-squares reconstructed discontinuous Galerkin method for the steady-state compressible flows on hybrid grids
- The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions
- Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows
- A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids
- A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids
- A Lagrangian discontinuous Galerkin hydrodynamic method
- Dynamic mesh adaptation for front evolution using discontinuous Galerkin based weighted condition number relaxation
- A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics
- Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods
- An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics
- A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows
- A cell-centered Lagrangian Godunov-like method for solid dynamics
- Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system
- A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation
- Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics
- A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids
- A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme
- A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
- Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates
- Cell-centered discontinuous Galerkin discretization for two-dimensional Lagrangian hydrodynamics
- Fully-implicit orthogonal reconstructed discontinuous Galerkin method for fluid dynamics with phase change
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
- Lagrangian gas dynamics in two dimensions and Lagrangian systems
- HIGH-ORDER DISCONTINUOUS GALERKIN METHODS FOR CFD
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- Total-Variation-Diminishing Time Discretizations
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- A third‐order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time‐accurate solution of the compressible Navier–Stokes equations
- A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids
- Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids
- A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations
- A Method for the Numerical Calculation of Hydrodynamic Shocks