Finite volume adaptive solutions using SIMPLE as smoother
Alexandros Syrakos, Apostolos Goulas
TL;DR
This paper introduces a multilevel finite volume solver for Navier-Stokes equations using SIMPLE as a smoother, incorporating local grid refinement guided by truncation error estimates to improve computational efficiency.
Contribution
It presents a novel multilevel procedure for finite volume Navier-Stokes solutions that allows flexible smoothing and adaptive local refinement based on error estimates.
Findings
Effective multilevel solver for composite grids
SIMPLE smoother enhances convergence
Local refinement improves accuracy and efficiency
Abstract
This paper describes a new multilevel procedure that can solve the discrete Navier-Stokes system arising from finite volume discretizations on composite grids, which may consist of more than one level. SIMPLE is used and tested as the smoother, but the multilevel procedure is such that it does not exclude the use of other smoothers. Local refinement is guided by a criterion based on an estimate of the truncation error. The numerical experiments presented test not only the behaviour of the multilevel algebraic solver, but also the efficiency of local refinement based on this particular criterion.
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