Computational Fluid Dynamics
Type | Compulsory |
Semester | winter |
Contact hours | 52 (2 + 2) |
Number of credits | 4 |
Type of termination | Assessment + Exam |
Form | Lectures + exercises |
Lecturers | Prof. Dr. Ing. Rudolf Žitný Dr. Ing. Bohumil Mareš |
Anotation |
TARGET
Provide fundamentals of fluid dynamics and numerical solution of its equations
CONTENT
Introduction
From experiments to mathematical model – analytical and numerical solution. Example: one-dimensional transport equation.
Numerical solution
Finite element method, finite volume method. Numerical stability, convergence and consistency, Lax theorem.
Mathematical description of physical phenomena
Conservation of mass (including chemical kinetics), momentum and energy. Principles of solution of parabolic, elliptic and hyperbolic equations.
Heat conduction
Non-stationary heat conduction equation, boundary condition types, two- and three-dimensional problem.
Transport equation
Stationary one-dimensional case, solution of non-stationary transport equation. Solution technique: central scheme, upwind scheme, exponential scheme, combined schemes, numerical diffusion. Compressibility of gases, transonic problems.
Velocity fields
Difficulties of momentum equation solution, boundary conditions, pressure-correction methods, base and modified algorithm, application to solution.
Comments on turbulent flows
RANS, Reynolds stresses, turbulent viscosity, turbulence models, turbulent transport..
Study materials
Lecturing material and hand-outs






News
03/17/2023
Graduation ceremony - March 202301/20/2020
State exams - February 202005/17/2019
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