Fast unsteady flow computations with a Jacobian-free Newton-Krylov algorithm

DOI10.1016/j.jcp.2010.08.033zbMath1427.76214OpenAlexW1992561690MaRDI QIDQ608821

Alexander H. van Zuijlen, Hester Bijl, Peter J. F. Lucas

Publication date: 26 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.08.033

zbMATH Keywords

unsteady flowJacobian-free Newton-Krylovhigher order implicit time integrationstiffness due to various flow and grid parameters

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76M99)

Related Items (4)

Jacobian-free Newton Krylov coarse mesh finite difference algorithm based on high-order nodal expansion method for three-dimensional nuclear reactor pin-by-pin multiphysics coupled models ⋮ Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer ⋮ On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals ⋮ Symbolic-Numerical Optimization and Realization of the Method of Collocations and Least Residuals for Solving the Navier–Stokes Equations

Uses Software

• ITSOL
• FLUENT
• ILUPACK
• FUN3D
• Spalart-Allmaras

Cites Work

• Unnamed Item
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• Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
• Experimental study of ILU preconditioners for indefinite matrices
• Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes.
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• A Preconditioned JFNK Algorithm Applied to Unsteady Incompressible Flow and Fluid Structure Interaction Problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Iterative solution techniques for unsteady flow computations using higher order time integration schemes

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