Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions
DOI10.1016/j.jcp.2017.10.031zbMath1380.76067OpenAlexW2622947548MaRDI QIDQ1700717
Raphaël Loubère, Matteo Semplice
Publication date: 22 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.10.031
adaptive mesh refinementhyperbolic conservation lawsentropy productionhydrodynamicshigh order of accuracy in space and timeMOOD paradigma posteriori limiter\(h / p\) adaptation
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (5)
Uses Software
Cites Work
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- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics. (Reprint)
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- Stabilized methods for compressible flows
- Metric-based mesh adaptation for 2D Lagrangian compressible flows
- Adaptive mesh refinement for hyperbolic partial differential equations
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
- Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- Compact third-order limiter functions for finite volume methods
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Local adaptive mesh refinement for shock hydrodynamics
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- ADER schemes on adaptive triangular meshes for scalar conservation laws
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- High-accurate SPH method with multidimensional optimal order detection limiting
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- Total variation diminishing Runge-Kutta schemes
- Numerical Entropy Production for Central Schemes
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Numerical Entropy and Adaptivity for Finite Volume Schemes
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- Systems of conservation laws
- Difference schemes for hyperbolic equations with high order of accuracy
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
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