Development and convergence analysis of an effective and robust implicit Euler solver for 3D unstructured grids

DOI10.1016/j.jcp.2018.04.005zbMath1415.76464OpenAlexW2797073852MaRDI QIDQ2424523

C. Bringhenti, J. T. Tomita, O. F. R. Silva, G. B. Campos, D. F. Cavalca

Publication date: 25 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.04.005

zbMATH Keywords

Roe's schemecomputational fluid dynamicsimplicit solverGauss-Seidel iterative methodJacobian fluxdefect-correction solver

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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A Jacobian-free approximate Newton-Krylov startup strategy for RANS simulations ⋮ Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows

Cites Work

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• Implicit upwind solution algorithms for three-dimensional unstructured meshes
• Comparison of Newton's and quasi-Newton's method solvers for the Navier-Stokes equations
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• Behavior of linear reconstruction techniques on unstructured meshes

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