Computer Modelling I (FSI-ITM)

Academic year 2018/2019
Supervisor: prof. Ing. Miroslav Jícha, CSc.  
Supervising institute: EÚ all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
The course objective is to provide student with principles of computational modelling of fluid flow and heat transfer, using both theoretical and practical approaches.
Learning outcomes and competences:
Students will acquire the theoretical basis of computational modelling of fluid flow and heat transfer (discretization methods, transient solution, convective-diffusion problems, algorithms). In the practical part they will experience work with CFD codes (set up of models, discretization of solution domain, boundary conditions, management of calculations, postprocessing.
Prerequisites:
Theoretical basis of heat transfer, thermomechanics and fluid mechanics.
Course contents:
The course consists of with theoretical and practical parts. The following topics are dealt with in the theoretical part: Fundamentals of numerical modelling. Heat conduction in one- and two-dimensional coordinate systems. Control-volume discretisation method. Source linearisation, boundary conditions, solution of algebraic equations systems (TDMA algorithm). Computation schemes for unsteady conduction. Equations of viscous laminar flow, general transport equation. Discretisation of convection-diffusion problems. Pressure-velocity field solution algorithm. The following topics are dealt with in the practical part: CFD-code Star-CD practice (steady 2-D flow with heat transfer, natural convection, unsteady problems).
Teaching methods and criteria:
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes:
The graded course-unit credit awarding is based on the results of the semester project.
Controlled participation in lessons:
Attendance at seminars is required. Absence from seminars can be compensated by attending seminars with other group of students or for via a make-up project.
Type of course unit:
    Lecture  13 × 2 hrs. optionally                  
    Computer-assisted exercise  13 × 2 hrs. compulsory                  
Course curriculum:
    Lecture 1. Contents and objectives of numerical modelling
2. Overview of numerical methods. Finite Difference Method
3. Finite Volume Method, Apply the FVM to the 1D diffusion equation
4. Apply the FVM to the 2D diffusion equation. Discretization of governing equations.
5. Source term linearization.
6. Discretization of boundary conditions.
7. Solution of the system of discretization equations. Tri-Diagonal Matrix Algorithm (TDMA)
8. Relaxation technique, Correction technique
9. Solution of the unsteady problems, Explicit, Implicit and Crank Nicholson schemes
10.Convection-Diffusion equation
11.Discretization of the convection-diffusion equation
12.SIMPLE and SIMPLER algorithms
    Computer-assisted exercise 1) To make the acquaintance of UNIX and software Star-CD
2) Mesh generation
3) Techniques of a computational model generation
4) Determination of boundary condition and thermophysical properties
5) Analyzes of natural convection, post-processing
6) Working out of semester project
Literature - fundamental:
1. S. V. Patankar: Numerical Heat Transfer and Fluid Flow, , 0
2. S. V. Patankar: Computation of Conduction and Duct Flow Heat Transfer, , 0
3. H.K.Verseeg, W.Malalasekera: An introduction to computational fluid dynamics. The finite volume method
Literature - recommended:
1. M. Jícha: Počítačové modelování úloh vedení tepla a proudění, , 0
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
M2I-P full-time study M-TEP Environmental Engineering P linked to branch B-EPP GCr 5 Compulsory 2 1 S
M2I-P full-time study M-TEP Environmental Engineering -- GCr 5 Compulsory 2 1 S
M2I-P full-time study M-ENI Power Engineering -- GCr 3 Elective (voluntary) 2 1 S