A coupled discontinuous Galerkin-finite volume framework for solving gas dynamics over embedded geometries
DOI10.1016/j.jcp.2021.110861OpenAlexW3216698670WikidataQ114163392 ScholiaQ114163392MaRDI QIDQ2134725
John B. Bell, Vincenzo Gulizzi, Ann S. Almgren
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14353
finite volume methodsdiscontinuous Galerkin methodsshock-capturing schemesembedded boundaries\(hp\)-AMR
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
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Cites Work
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations
- An adaptive multilevel multigrid formulation for Cartesian hierarchical grid methods
- Numerical simulation of detonation using an adaptive Cartesian cut-cell method combined with a cell-merging technique
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids
- Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
- A high-order adaptive Cartesian cut-cell method for simulation of compressible viscous flow over immersed bodies
- An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
- Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
- Efficient solution algorithms for the Riemann problem for real gases
- Local adaptive mesh refinement for shock hydrodynamics
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Semi-implicit projection methods for incompressible flow based on spectral deferred corrections.
- ADER: Arbitrary high-order Godunov approach
- Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
- An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method
- A dimensionally split Cartesian cut cell method for hyperbolic conservation laws
- An immersed volume method for large eddy simulation of compressible flows using a staggered-grid approach
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II
- \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes
- An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- A phase-field model for fluid-structure interaction
- Higher-order temporal integration for the incompressible Navier-Stokes equations in bounded domains
- A state redistribution algorithm for finite volume schemes on cut cell meshes
- A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model
- Fast multigrid solution of high-order accurate multiphase Stokes problems
- Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations
- Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
- Limiters for high-order discontinuous Galerkin methods
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- A Cartesian grid embedded boundary method for hyperbolic conservation laws
- A Simplified h-box Method for Embedded Boundary Grids
- A high-order immersed boundary discontinuous-Galerkin method for Poisson's equation with discontinuous coefficients and singular sources
- Cut Cells
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Diffraction of strong shocks by cones, cylinders, and spheres
- The immersed boundary method
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- A discontinuous-Galerkin-based immersed boundary method
- An unfitted finite element method using discontinuous Galerkin
- Euler calculations for multielement airfoils using Cartesian grids
- Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
- A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Finite Volume Methods for Hyperbolic Problems
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
- On the Use of Higher-Order Projection Methods for Incompressible Turbulent Flow
- A finite element method for crack growth without remeshing
- Similarity in Mach stem evolution and termination in unsteady shock-wave reflection
- Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- Shock-wave reflections over double-concave cylindrical reflectors
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