An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows.

DOI10.1016/S0021-9991(03)00198-0zbMath1097.76543OpenAlexW2030207366MaRDI QIDQ1401129

Dana A. Knoll, Vincent Mousseau, Andrzej A. Wyszogrodzki, J. M. Reisner

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00198-0

zbMATH Keywords

Navier--Stokes equationsNonlinear solverPhysics-based preconditioning

Mathematics Subject Classification ID

Related Items (11)

A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows ⋮ CFD high-order accurate scheme Jacobian-free Newton Krylov method ⋮ Fully compressible solutions for early stage Richtmyer-Meshkov instability ⋮ Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems ⋮ Jacobian-free Newton-Krylov method for the simulation of non-thermal plasma discharges with high-order time integration and physics-based preconditioning ⋮ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. ⋮ Accelerated preconditioner updates for solving shifted linear systems ⋮ Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere ⋮ A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: Drift-diffusion, flow/transport/reaction, resistive MHD ⋮ Preconditioner updates for solving sequences of linear systems in matrix-free environment ⋮ On physics-based preconditioning of the Navier-Stokes equations

Uses Software

• NITSOL
• MM5

Cites Work

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• Assessing a search direction within a truncated Newton method
• An improved convection scheme applied to recombining divertor plasma flows
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• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Fully coupled finite volume solutions of the incompressible Navier–Stokes and energy equations using an inexact Newton method
• NITSOL: A Newton Iterative Solver for Nonlinear Systems
• A Multigrid Preconditioned Newton--Krylov Method
• Why you should not use ‘Hybrid’, ‘Power‐Law’ or related exponential schemes for convective modelling—there are much better alternatives
• Choosing the Forcing Terms in an Inexact Newton Method

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