Multi-dimensional limiting process for three-dimensional flow physics analyses

DOI10.1016/j.jcp.2008.02.012zbMath1388.76218OpenAlexW2144242893MaRDI QIDQ939473

Chongam Kim, Sung-Hwan Yoon, Kyu Hong Kim

Publication date: 22 August 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.02.012

zbMATH Keywords

numerical oscillationTVD conditionhigh-speed compressible flowsmulti-dimensional limitermulti-dimensional limiting condition

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Uses Software

• AUSMPW+

Cites Work

• Unnamed Item
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Low-dissipative high-order shock-capturing methods using characteristic-based filters
• Weighted essentially non-oscillatory schemes
• Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
• Cures for the shock instability: Development of a shock-stable Roe scheme.
• Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. I: Spatial discretization
• Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. II: Multi-dimensional limiting process
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On the Accuracy of Stable Schemes for 2D Scalar Conservation Laws
• TVB Uniformly High-Order Schemes for Conservation Laws
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws
• Numerical Solution of the Navier-Stokes Equations for a Three-Dimensional Corner
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• Vortical Solutions in Supersonic Corner Flows
• Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
• Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows
• A class of explicit ENO filters with application to unsteady flows
• Methods for the accurate computations of hypersonic flows. I: AUSMPW+scheme