Skip to main content
Skip header
Terminated in academic year 2021/2022

Numerical Modeling of 3D Fluid Flow

Type of study Doctoral
Language of instruction English
Code 338-0938/03
Abbreviation NumMod3D
Course title Numerical Modeling of 3D Fluid Flow
Credits 10
Coordinating department Department of Hydromechanics and Hydraulic Equipment
Course coordinator doc. Ing. Marian Bojko, Ph.D.

Subject syllabus

- Turbulence. The physical significance of turbulence, mathematical models of laminar and turbulent flow with heat transfer, flow and incompressible compressible media. Random nature of turbulence, statistical approaches, Reynolds rules, vector and tensorial equations.
- Numerical solution of flow. Numerical solution of the Navier - Stokes equation and continuity equation methods, the basic differential, integral method, finite volume, finite element method, spectral method.
- The principle of finite volumes. The finite volume method applied to one-dimensional flow. Solving discretized equations. SIMPLE algorithm, SIMPLEC, multigridní methods, the accuracy of difference schemes.
- Wall functions. The importance of wall functions for velocity and temperature profiles
in modeling the near wall, dimensionless parameter criterion for y +, use of wall functions.
- Boundary conditions. Definition of basic flow variables at the border area, as well as turbulent variables, variables related to heat transfer wall, weight fractions of impurities, etc. Time-dependent boundary conditions.
- Methods of solving turbulent flow. Direct simulation (DNS) method, simulations of large eddies (LES, DES), time-averaging method (standard k-eps model, RNG k-eps model (renormalization group method), k-omega model, the RSM model (Reynolds stress model).
- preprocessor GAMBIT. Use preprocessor GAMBIT geometry creation, mesh generation, transfer the geometry from CAD systems into GAMBIT, treatment of transferred data, mesh generation, mesh quality control and export to FLUENT.
- The software FLUENT. Using FLUENT for numerical solution. Grid adaptation during the simulation. Modification of numerical parameters such as residual limitations, relaxation parameters, multigrid.
- Applications. The theoretical findings are used to wrap solution obstacles, lift forces, natural convection, the flow of gas and impurities, solid particles (aerosols), the wall heat transfer, fluid flow, taking into account a mixture with chemical reactions

Literature

ANSYS FLUENT INC. FLUENT 13.16- User’s guide. [Online]. c2010. Dostupné z:
< URL:http://sp.1.vsb.cz/DOC/Fluent_12.0.16/html/ug/ /main_pre.htm >.

Advised literature

RODI, W.: Numerische Berechnung turbulenter Stromungen in Forschung und Praxis. Sonderforschungsbereich 210, Karlsruhe: TU, 1992, 245 p.
ROACHE, P.J.: Computational Fluid Dynamics. Albuquerque: Hermosa Publishers, 1976,612 p.
VAN DEN ZANDEN, J.: Numerical Simulation on Fluid Flow. Lecture Notes, Delft: Laboratory for Aero- and Hydrodynamics, 1998, 188 p.
STULL, B.R.: An Introduction to Boundary Layer Meteorology, Dordrecht: Kluwer Academic Publishers, 1994, 666 p.
HEWIT, G., F. and others. Prediction of Turbulent Flow. Cambridge University Press. 343 p. 2005. ISBN-13978-0-521-8389-3
NIKOLAY I. KOLEV. Multiphase flow dynamics. 1, Fundamentals / - 2nd ed. Berlin : Springer, c2005 - xxxv, 753 s. : il. + 1 CD-ROM ISBN 3-540-22106-9
INCROPERA, F. a kol. Fundamentals of Heat and Mass Transfer, 6. edition, John Wiley and Sons 2007, 996p., ISBN 978-0-471-45728-2