An efficient strategy to deliver understanding of both numerical and practical aspects when using navier-stokes equations to solve fluid mechanics problems

Desmond Adair, Martin Jaeger

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

An efficient and thorough strategy to introduce undergraduate students to a numerical approach of calculating flow is outlined. First, the basic steps, especially discretization, involved when solving Navier-Stokes equations using a finite-volume method for incompressible steady-state flow are developed with the main aim being for the students to follow through from the mathematical description of a given problem to the final solution of the governing equations in a transparent way. The well-known 'driven-cavity' problem is used as the problem for testing coding written by the students, and the Navier-Stokes equations are initially cast in the vorticity-streamfunction form. This is followed by moving on to a solution method using the primitive variables and discussion of details such as, closure of the Navier-Stokes equations using turbulence modelling, appropriate meshing within the computation domain, various boundary conditions, properties of fluids, and the important methods for determining that a convergence solution has been reached. Such a course is found to be an efficient and transparent approach for introducing students to computational fluid dynamics.

Original languageEnglish
Article number178
JournalFluids
Volume4
Issue number4
DOIs
Publication statusPublished - Oct 1 2019

Keywords

  • Computational fluid dynamics
  • Discretization
  • Finite-volume method
  • Meshing
  • Turbulence modelling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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