Numerical Simulations of Convection Problems

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Students will be acquainted with the 2D and 3D numerical simulations of flow problems described by potential, inviscid and viscous flow. It is a transonic flow around a wing profile, in a 2D and 3D lattice, in 2D and 3D channels of different shape, in the boundary layer, and in the modeling of cardiovascular problems. Some cases of turbulent flow simulations are also mentioned.

Requirements:

Basic course of Calculus, Linear Algebra and Ordinary Differential Equations (in the extent of the courses 01MA1, 01MAA2-4, 01LA1, 01LAA2, 01NM held at the FNSPE CTU in Prague).

Syllabus of lectures:

Basic flow models (potential, inviscid, viscous). The Euler and Navier-Stokes equations for compressible and incompressible flow. The formulation of given flow problems including initial and boundary conditions. Basic numerical schemes for solving problems of external and internal aerodynamics, boundary layer, biomechanics, etc. The numerical simulation of the given problems (including turbulent flows) with numerical examples 2D and 3D.

Syllabus of tutorials:

Study Objective:

Knowledge of 2D and 3D models and numerical schemes of viscous and inviscid fluid flow described by Navier-Stokes equations.

Study materials:

Key references:

P.J. Roache: Computational Fluid Dynamics, Hermosa, Alburquerque, 1976

Recommended references:

M. Feistauer: Mathematical Method in Fluid Dynamics, Longman, 1993

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Matematické inženýrství (elective course)
• Fyzika a technika termojaderné fúze (elective course)