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Time-accurate finite difference solutions to the incompressible Navier-Stokes/energy equations

Ali Mirfakhraee, Sanford S. Davis

Open publisher page 2 citations

Abstract

Two new algorithms for solving coupled Navier-Stokes and energy equations are presented. The algorithms are compared with available Navier-Stokes solutions for the model problem of a driven-cavity-flow over a range of Reynolds numbers. It is noted that the algorithms represent two different implementations of the fractional step approach to the solution of the coupled Navier-Stokes and energy equations using the Boussinesq approximation.

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What this paper is about

Two new algorithms for solving coupled Navier-Stokes and energy equations are presented. The algorithms are compared with available Navier-Stokes solutions for the model problem of a driven-cavity-flow over a range of Reynolds numbers. It is noted that the algorithms represent two different implementations of the fractional step approach to the solution of the coupled Navier-Stokes and energy equations using the Boussinesq approximation.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Two new algorithms for solving coupled Navier-Stokes and energy equations are presented. The algorithms are compared with available Navier-Stokes solutions for the model problem of a driven-cavity-flow over a range of Reynolds numbers. It is noted that the algorithms represent two different implementations of the fractional step approach to the solution of the coupled Navier-Stokes and energy equations using the Boussinesq approximation.

Key concepts: Navier–Stokes equations, Non-dimensionalization and scaling of the Navier–Stokes equations, Mathematics, Reynolds number, Range (aeronautics), Hagen–Poiseuille flow from the Navier–Stokes equations, Pressure-correction method, Reynolds-averaged Navier–Stokes equations

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Time-accurate finite difference solutions to the incompressible Navier-Stokes/energy equations — Research Paper | ScholarLens