Finite Volume Method II.

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

Subject deals with the application of the finite volume method (FVM) in the fluid mechanics. The attention is paid especially to the solution of 2D and 3D flows of incompressible and compressible fluid.

Requirements:

Syllabus of lectures:

1.FVM for multidimensional problems, discretization of the convection-diffusion equation using Cartesian mesh.

2.Construction of meshes for FVM in complex geometry, curvilinear meshes, unstructured meshes.

3.Discretization of convection-diffusion problem using an unstructured mesh.

4.Higher order schemes in multidimensional case.

5.Navier-Stokes equation for incompressible fluids, basics of projection methods.

6.Algorithm SIMPLE for steady state flows of incompressible viscous fluids.

7.Solution of system of linear equations arising from the SIMPLE algorithm (linear solvers, relaxation).

8.Solution of transient problems with the PISO algorithm

9.Numerical solution of a selected problem of flow of incompressible fluid.

10.Algorithm SIMPLE for compressible flows

11.Numerical methods for compressible flows based on the Riemann solvers.

12.Numerical solution of a selected problem of flow of compressible fluid.

Syllabus of tutorials:

Study Objective:

Study materials:

•J.H. Ferziger, M. Peric: Computational methods for fluid dynamics, Springer, 2012

•H.K.Versteeg, W. Malalasekera“ An Introduction to Computational Fluid Dynamics, The Finite Volume Method, Pearson, 2007

•C. Hirsh: Numerical Computation of Internal & External Flows, vol. 1, Elsevier, 2007

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: