Numerical analysis of a corrected Smagorinsky model

DOI10.1002/num.22895arXiv2201.08914OpenAlexW4229035479WikidataQ114235133 ScholiaQ114235133MaRDI QIDQ6069518

Xihui Xie, Farjana Siddiqua

Publication date: 16 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08914

zbMATH Keywords

eddy viscositybackscattercomplex turbulencecorrected Smagorinsky

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Direct numerical and large eddy simulation of turbulence (76F65) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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