Compact direct flux reconstruction for conservation laws
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Publication:1747625
DOI10.1007/s10915-017-0535-3zbMath1398.65221OpenAlexW2742917688MaRDI QIDQ1747625
Publication date: 26 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0535-3
high-order methodvon Neumann analysisflux reconstructioncompact finite differencecurved boundariesdirect flux derivative construction
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (4)
Discontinuous Galerkin via interpolation: the direct flux reconstruction method ⋮ A fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws ⋮ Nonlinear \(p\)-multigrid preconditioner for implicit time integration of compressible Navier-Stokes equations with \(p\)-adaptive flux reconstruction ⋮ A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs
Cites Work
- A simplified formulation of the flux reconstruction method
- On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods
- Review of summation-by-parts schemes for initial-boundary-value problems
- A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems
- A proof of the stability of the spectral difference method for all orders of accuracy
- A new class of high-order energy stable flux reconstruction schemes
- Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws
- Insights from von Neumann analysis of high-order flux reconstruction schemes
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Compact finite difference schemes with spectral-like resolution
- Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Weighted essentially non-oscillatory schemes
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- Efficient implementation of weighted ENO schemes
- High-order flux reconstruction schemes with minimal dispersion and dissipation
- Summation-by-parts operators for correction procedure via reconstruction
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Spectral difference method for unstructured grids. I. Basic formulation
- Spectral methods on arbitrary grids
- A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
- Strong Stability-Preserving High-Order Time Discretization Methods
- Compact Reconstruction Schemes with Weighted ENO Limiting for Hyperbolic Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
- High‐order CFD methods: current status and perspective
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