Computational Fluid Mechanics

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Fluid Dynamics and Thermodynamics

Synopsis:

This course extends the knowledge gained in the course of Fluid Mechanics about the knowledge of computational fluid dynamics. Emphasis is placed on understanding the basic principles of computational fluid dynamics based on using commercial codes. Selected problems of internal and external aerodynamics are solved.

Requirements:

Syllabus of lectures:

• Introduction to computational fluid dynamics (discussion of current state, applications, pre-processing, postprocessing)

• Governing equations of fluid dynamics (Reynolds transport theorem, conservation laws, ...)

• Compressible flow versus incompressible flow – Governing equations, …

• Physical significance of elliptic, parabolic and hyperbolic type equations, discussion of boundary conditions

• Introduction to turbulence modelling (scales of turbulent flow, turbulence modelling discussion, ...)

• Statistical models of turbulence (k-epsilon and k-omega model of turbulence, determination of constants of turbulence

models, ...)

• Discretization of simplified models using the finite difference method

• Finite volume method

• Discretization of the convection and diffusion equation using the finite volume method

• Convective schemes in finite volume method (upwind scheme, power-law scheme, ...)

• Pressure and velocity coupling in the incompressible flow solution

• Algorithms of the numerical solution of incompressible fluid flow (pressure correction method, ...)

Syllabus of tutorials:

Study Objective:

Study materials:

• H. K. Versteeg, W. Malalasekera, An Introduction to Computational Fluid Dynamics, Pearson Education Limited, 2007

• J. H. Ferziger, M. Peric, Computational Methods for Fluid Dynamics, Springer, 2002

• P. A. Durbin, B. A. Pettersson Reif, Statistical Theory and Modelling for Turbulent Flows, Wiley, 2001

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• 04 109 NSTI DLTT 2012 zaměření MV (compulsory elective course)
• 05 109 NSTI DLTT 2012 zaměření SM (compulsory elective course)
• 07 109 NSTI DLTT 2012 zaměření LT (compulsory course in the program)
• 13 136 NSTI MMT 2012 základ (compulsory course in the program)
• 14 141 NSTI AME 2012 základ (compulsory course in the program)
• 15 141 NSTI MCH 2012 základ (compulsory course in the program)