Investigation and application of point implicit Runge-Kutta methods to inviscid flow problems

DOI10.1002/FLD.2561zbMath1245.76049OpenAlexW2052356041MaRDI QIDQ2902513

Stefan Langer

Publication date: 20 August 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2561

zbMATH Keywords

multigridRunge-Kutta methodslocal time steppingmatrix dissipationinviscid flow problempoint implicit

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Steady-state laminar flow solutions for NACA 0012 airfoil ⋮ Investigations of a compressible second order finite volume code towards the incompressible limit ⋮ Application of a line implicit method to fully coupled system of equations for turbulent flow problems ⋮ 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

• TAU

Cites Work

• Unnamed Item
• Convergence acceleration of Runge-Kutta schemes for solving the Navier-Stokes equations
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On central-difference and upwind schemes
• Preconditioned multigrid methods for compressible flow calculations on stretched meshes
• Directional coarsening and smoothing for anisotropic Navier-Stokes problems
• Effect of artificial viscosity on three-dimensional flow solutions

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