A comparative study of high‐resolution methods for nonlinear hyperbolic problems
DOI10.1002/zamm.202100462OpenAlexW4223459656WikidataQ115611544 ScholiaQ115611544MaRDI QIDQ6152350
Publication date: 11 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202100462
flux limitersfinite volume methodshyperbolic conservation lawsnumerical analysishigh-resolution schemes
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Higher-order nonlinear hyperbolic equations (35L75) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
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- Flux limited schemes: their classification and accuracy based on total variation stability regions
- Comparison study on the performances of finite volume method and finite difference method
- High-order multiderivative time integrators for hyperbolic conservation laws
- A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov
- Compressible fluid flow and systems of conservation laws in several space variables
- Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient solution algorithms for the Riemann problem for real gases
- Higher order Godunov methods for general systems of hyperbolic conservation laws
- Introduction to ``Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- Error analysis of flux limiter schemes at extrema
- An improved flux limiter using fuzzy modifiers for hyperbolic conservation laws
- A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws
- Construction and application of several new symmetrical flux limiters for hyperbolic conservation law
- A review on TVD schemes and a refined flux-limiter for steady-state calculations
- A high resolution total variation diminishing scheme for hyperbolic conservation law and related problems
- Strong Stability-Preserving High-Order Time Discretization Methods
- A Two-Stage Fourth Order Time-Accurate Discretization for Lax--Wendroff Type Flow Solvers I. Hyperbolic Conservation Laws
- A comparative study of TVD-limiters-well-known limiters and an introduction of new ones
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Transonic Shock Formation in a Rarefaction Riemann Problem for the 2D Compressible Euler Equations
- A Direct Eulerian MUSCL Scheme for Gas Dynamics
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
- Finite Volume Methods for Hyperbolic Problems
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- A review of numerical methods for nonlinear partial differential equations
- Singularly perturbed reaction–diffusion problems on a k‐star graph
- Numerical Simulation of Hyperbolic Conservation Laws Using High Resolution Schemes with the Indulgence of Fuzzy Logic
- Evaluation of various high‐order‐accuracy schemes with and without flux limiters
- Systems of conservation laws
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
- A review and comparative study of upwing biased schemes for compressible flow computation. I: 1-D first-order schemes
- A novel finite volume scheme for hyperbolic conservation laws
