This course will cover the basics of the finite volume method for incompressible flows on two-dimensional Cartesian grids. Topics include the discretization procedure, interpolation techniques, boundary conditions, flow visualization using ParaView, and CFD errors and uncertainty. Students will write three codes; the first code solves a pure diffusion problem, the second solves a pure convection problem, and the third solves the Navier-Stokes equations using the SIMPLE pressure-velocity coupling procedure. The Navier-Stokes solver will be used to solve the “driven cavity” problem, and a problem involving the developing flow in a channel. These three codes are also available for download to, for instance, study the solution procedure, or help in debugging a student written code. Upon completion of the course students will be familiar with the basics of the finite volume method, enabling a more effective use of a commercial CFD solver, and possess the background necessary to study more advanced CFD techniques.
Fundamentals and First Principles
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