Stability of explicit Navier-Stokes procedures using \(k-\varepsilon\) and \(k-\varepsilon\)/algebraic Reynolds stress turbulence models

DOI10.1016/0021-9991(92)90330-2zbMath0778.76059OpenAlexW2052096360MaRDI QIDQ1201695

Budugur Lakshminarayana, Robert F. Kunz

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90330-2

zbMATH Keywords

local stabilityvon Neumann stability analysismean flow equationsturbulence transport equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Shear flows and turbulence (76F10) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

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• Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
• Turbulence modeling for three-dimensional shear flows over curved rotating bodies
• Implicit upwind methods for the compressible Navier-Stokes equations
• Navier-Stokes computations of transonic flows with a two-equation turbulence model
• Predictions of Channel and Boundary-Layer Flows with a Low-Reynolds-Number Turbulence Model
• Magnetohydrodynamic steady flow computations in three dimensions
• Explicit Navier-Stokes computation of cascade flows using the k-epsilon turbulence model
• Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
• Vier Woodbury-Formeln hergeleitet aus dem Variablentausch einer speziellen Matrix
• Multigrid solution of compressible turbulent flow on unstructured meshes using a two‐equation model