338-0953/02 – Modeling of Fluid Flow by Finite Volume Method (MPTMKO)

Gurantor departmentDepartment of Hydromechanics and Hydraulic EquipmentCredits10
Subject guarantordoc. Ing. Marian Bojko, Ph.D.Subject version guarantordoc. Ing. Marian Bojko, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFBI, FS, FEI, USPIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOJ01 doc. Ing. Marian Bojko, Ph.D.
KOZ30 prof. RNDr. Milada Kozubková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Part-time Examination 25+0

Subject aims expressed by acquired skills and competences

Students will learn the mathematical model of fluid flow, the physical significance of laminar and turbulence using the finite volume method (FVM). They will be able to define a mathematical model for solving the application of flow around obstacle, natural convection, flow of gaseous species and material particles, heat transfer of walls and problem solving. An important part of the work will be evaluation of the solution, comparison with theory and experiments and determination of solvability limits in the given application field.

Teaching methods

Individual consultations

Summary

The course focuses on the possibilities for 3D modeling of fluid flow, including the creation of computational mesh for modeling of the flow. Students will extend their theoretical knowledge in the field of mass, momentum and heat transfer during turbulent flow. The finite volume method (FVM) will be used to solve the system of equations describing the flow. The method will be focused on the solution of flow around the obstructions, flow of gaseous species and material particles, solution of flow with chemical reactions, burning of fuels and flow with heat transfer. For practical applications, ANSYS-Fluent resp. ANSYS - CFX. DesignModeler is used to create geometry and ANSYS Meshing is used to create mesh. The seminar work will concern the creation of a mathematical model and numerical modeling of practical tasks according to the specific focus of the doctoral thesis.

Compulsory literature:

INCROPERA, F., P. ET AL.. Fundamentals of heat and mass transfer. 6th ed.. Hoboken : Wiley, c2007 – xxv. 997 s. ISBN 0-471-45728-0. ANSYS Fluent Theory Guide (Release 18.2). 2017. ANSYS Fluent User’s Guide (Release 18.2). 2017.

Recommended literature:

WILKES, J., O. Fluid mechanics for chemical engineers with Microfluidics and CFD. 2nd ed. Upper Saddle River: Prentice Hall Professional Technical Reference, c2006. Prentice Hall international series in the physical and chemical engineering sciences. ISBN 0-13-148212-2. ANSYS Fluent Tutorial Guide (Release 18.2). 2017.

Way of continuous check of knowledge in the course of semester

seminar work and oral examination

E-learning

Other requirements

no no no no no no no no no no no no no no no no no no

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

• Turbulence. The physical significance of turbulence, random nature of turbulence, statistical approaches, mathematical models of laminar and turbulent flow, incompressible and compressible media. • 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. 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, 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). • Preprocessors ANSYS DesignModeler a ANSYS Meshing . Use preprocessor ANSYS DesignModeler to creation of geometry, mesh generation in preprocessor ANSYS Meshing , transfer the geometry from CAD systems into ANSYS DesignModeler, 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 gaseous species and solid particles (aerosols), the wall heat transfer, etc.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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