The flux reconstruction method with Lax-Wendroff type temporal discretization for hyperbolic conservation laws
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Publication:2302388
DOI10.1007/s10915-020-01146-8zbMath1469.65149OpenAlexW3005456951MaRDI QIDQ2302388
Libin Ma, Zhen-Hua Jiang, Chao Yan, Shuai Lou
Publication date: 26 February 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01146-8
artificial viscosityshock capturinghigh order accuracyflux reconstructionLax-Wendroff type time discretization
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (7)
Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids ⋮ Lax-Wendroff flux reconstruction method for hyperbolic conservation laws ⋮ Development of an implicit high-order flux reconstruction solver for high-speed flows on simplex elements ⋮ Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method ⋮ Strong stability-preserving three-derivative Runge-Kutta methods ⋮ On explicit discontinuous Galerkin methods for conservation laws ⋮ Dual system least-squares finite element method for a hyperbolic problem
Cites Work
- On the stability of the flux reconstruction schemes on quadrilateral elements for the linear advection equation
- Energy stable flux reconstruction schemes for advection-diffusion problems on triangles
- A new class of high-order energy stable flux reconstruction schemes for triangular elements
- 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
- 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
- Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
- An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
- A new Lax-Wendroff discontinuous Galerkin method with superconvergence
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Compact finite difference schemes with spectral-like resolution
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- ADER: Arbitrary high-order Godunov approach
- Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
- Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
- On the properties of energy stable flux reconstruction schemes for implicit large eddy simulation
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
- Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- Efficient implementation of weighted ENO schemes
- Implicit large eddy simulation of compressible turbulence flow with \(\mathrm{P}_n\mathrm{T}_m-\mathrm{BVD}\) scheme
- On the behaviour of fully-discrete flux reconstruction schemes
- On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
- Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon
- Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws
- High-order flux reconstruction schemes with minimal dispersion and dissipation
- Summation-by-parts operators for correction procedure via reconstruction
- Energy stable flux reconstruction schemes for advection-diffusion problems
- On the connection between the spectral volume and the spectral difference method
- The discontinuous Galerkin method with Lax--Wendroff type time discretizations
- Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- TVB Uniformly High-Order Schemes for Conservation Laws
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
- Optimal explicit strong stability preserving Runge–Kutta methods with high linear order and optimal nonlinear order
- Systems of conservation laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
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