An implicit block ILU smoother for preconditioning of Newton-Krylov solvers with application in high-order stabilized finite-element methods

DOI10.1016/j.cma.2019.112637zbMath1441.76052OpenAlexW2977029436WikidataQ127199397 ScholiaQ127199397MaRDI QIDQ1989104

Behzad R. Ahrabi, Dimitri J. Mavriplis

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112637

zbMATH Keywords

Newton-Krylov methodshigh-order methodscomputational fluid dynamicspreconditioning techniquesstabilized finite-element methodssteady- state RANS simulations

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Comparative study of inner-outer Krylov solvers for linear systems in structured and high-order unstructured CFD problems ⋮ Approximate linearization of fixed-point iterations. Error analysis of tangent and adjoint problems linearized about non-stationary points ⋮ Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations ⋮ Stabilized methods for high-speed compressible flows: toward hypersonic simulations ⋮ Advantages of static condensation in implicit compressible Navier-Stokes DGSEM solvers

Uses Software

• PETSc
• FUN3D
• NSU3D
• Spalart-Allmaras

Cites Work

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• Convergence Analysis of Pseudo-Transient Continuation
• Fine-Grained Parallel Incomplete LU Factorization
• An assessment of linear versus nonlinear multigrid methods for unstructured mesh solvers
• Spalart-Allmaras

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