Time-Dependent Conservation Laws on Cut Cell Meshes and the Small Cell Problem
DOI10.1007/978-3-030-43651-3_3zbMath1454.65094OpenAlexW3034650320MaRDI QIDQ5117424
Publication date: 25 August 2020
Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_3
finite volume methoddiscontinuous Galerkin methodhyperbolic conservation lawcut cellsmall cell problem
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) First-order hyperbolic equations (35L02)
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Cites Work
- An adaptive multilevel multigrid formulation for Cartesian hierarchical grid methods
- Ghost penalty
- An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
- A dimensionally split Cartesian cut cell method for hyperbolic conservation laws
- A supraconvergent scheme for nonlinear hyperbolic systems
- An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- An explicit implicit scheme for cut cells in embedded boundary meshes
- Higher order cut finite elements for the wave equation
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A Cartesian grid embedded boundary method for hyperbolic conservation laws
- A Simplified h-box Method for Embedded Boundary Grids
- A Mixed Explicit Implicit Time Stepping Scheme for Cartesian Embedded Boundary Meshes
- Well-balanced compressible cut-cell simulation of atmospheric flow
- A Direct Eulerian MUSCL Scheme for Gas Dynamics
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Total variation diminishing Runge-Kutta schemes
- H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
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