Computational Fluid Dynamics

Date: 20 Jan 2020 - 24 Jan 2020

Location: TUD, Delft, Netherlands

The course discusses the basic methods for solving the equations that describe the motion of fluids. It is organized as a series of lectures and computer exercises. The basic model problem is the convection-diffusion equation with dominating convection. A number of spatial discretization methods (non-uniform grids) will be discussed with their pros and cons (upwind/ central, lower/higher order, finite-difference/finite-volume). Also the stability and accuracy of time-integration methods is shortly discussed. A next step is to study discontinuous solutions of the Euler equations, with focus on the numerical Riemann problem. Several numerical schemes for calculating shocks and contact-discontinuities will be presented; the concept of non-linear limiters is introduced. Finally, the incompressible Navier-Stokes equations are discussed. The positioning of the computational grid is assessed (staggered grids), as well as the treatment of boundary conditions. Also the use of mimetic methods for unstructured grids is explained. An application is the direct numerical simulation of turbulent flow.
Coordinators: Marc Gerritsma (TUD), Roel Verstappen (RUG), Barry Koren (TUE)
Lecturers: MI Gerritsma, B Koren, F Wubs, RWCP Verstappen

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