Application of point implicit Runge–Kutta methods to inviscid and laminar flow problems using AUSM and AUSM+upwinding

DOI10.1080/10618562.2011.590801zbMath1271.76187OpenAlexW2055062174MaRDI QIDQ2847504

Dian Li, Stefan Langer

Publication date: 10 September 2013

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2011.590801

zbMATH Keywords

laminar flowinviscid flowRunge-Kutta methodsAUSM and AUSM\(^+\) upwindingpoint implicit preconditioner

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (6)

Application of a line implicit method to fully coupled system of equations for turbulent flow problems ⋮ Acceleration on stretched meshes with line-implicit LU-SGS in parallel implementation ⋮ Parameter investigation with line-implicit lower–upper symmetric Gauss–Seidel on 3D stretched grids ⋮ Agglomeration multigrid methods with implicit Runge-Kutta smoothers applied to aerodynamic simulations on unstructured grids ⋮ Preconditioned smoothers for the full approximation scheme for the RANS equations ⋮ Loosely coupled and coupled solution methods for the RANS equations and a one-equation turbulence model

Uses Software

• AUSM

Cites Work

• A sequel to AUSM: AUSM\(^ +\)
• Convergence acceleration of Runge-Kutta schemes for solving the Navier-Stokes equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On central-difference and upwind schemes
• A new flux splitting scheme
• Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
• Preconditioned multigrid methods for compressible flow calculations on stretched meshes
• Effect of artificial viscosity on three-dimensional flow solutions

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