Academic year 2023/2024 |
Supervisor: | doc. Ing. Luděk Nechvátal, Ph.D. | |||
Supervising institute: | ÚM | |||
Teaching language: | Czech | |||
Aims of the course unit: | ||||
The course is intended as an introduction to computational fluid dynamics. In the case of compressible flow, the finite volume method is introduced, and in the case of incompressible flows the pressure-correction method is described. Students ought to realize that only the knowledge of substantial physical and mathematical aspects of particular types of flows enables |
||||
Learning outcomes and competences: | ||||
Students will be made familiar with the basic principles of fluid flow modeling: physical laws, the mathematical analysis of equations describing flows (Euler and Navier-Stokes equations), the choice of an appropriate method (which issues from the physical as well as from the mathematical essence of equations) and the computer implementation of the proposed method (preprocessing = mesh generation, numerical solver, postprocessing = visualization of desired physical quantities). Students will demonstrate the acquainted knowledge by elaborating semester assignment. |
||||
Prerequisites: | ||||
Evolution partial differential equations, functional analysis, numerical methods for partial differential equations. | ||||
Course contents: | ||||
Basic physical laws of continuum mechanics: laws of conservation of mass, momentum and energy. Theoretical study of hyperbolic equations, particularly of Euler equations that describe the motion of inviscid compressible fluids. Numerical modeling based on the finite volume method and numerical modeling of viscous incompressible flows: pressure-correction method SIMPLE. |
||||
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: | ||||
CONDITIONS FOR OBTAINING THE COURSE-UNIT CREDIT: Active participation in seminars, and taking part in a semester project (a protocol with conclusions has to be delivered to the teacher). |
||||
Controlled participation in lessons: | ||||
Attendance at lectures is recommended, attendance at seminars is required. Lessons are planned according to the week schedules. Absence from lessons may be compensated by the agreement with the teacher supervising the seminars. | ||||
Type of course unit: | ||||
Lecture | 13 × 2 hrs. | optionally | ||
Computer-assisted exercise | 13 × 1 hrs. | compulsory | ||
Course curriculum: | ||||
Lecture | 1. Material derivative, transport theorem, laws of conservation of mass and momentum. |
|||
Computer-assisted exercise | Demonstration of solutions of selected model tasks on computers. Elaboration of the semester assignment. | |||
Literature - fundamental: | ||||
1. M. Feistauer, J. Felcman, I. Straškraba: Mathematical and Computational Methods for Compressible Flow, Oxford University Press, Oxford, 2003 | ||||
2. V. Dolejší, M. Feistauer: Discontinuous Galerkin Method, Springer, Heidelberg, 2016. | ||||
3. E.F. Toro: Riemann Solvers and Numerical Methods for Fluid Dynamics, A Practical Introduction, Springer, Berlin, 1999. | ||||
4. J.H. Ferziger, M. Peric: Computational Methods for Fluid Dynamics, Springer-Verlag, New York, 2002. | ||||
5. K. H. Versteeg, W. Malalasekera: An Introduction to Computational Fluid Dynamics, Pearson Prentice Hall, Harlow, 2007. | ||||
Literature - recommended: | ||||
1. L. Čermák: Výpočtové metody dynamiky tekutin, dostupné na http://mathonline.fme.vutbr.cz/ |
The study programmes with the given course: | |||||||||
Programme | Study form | Branch | Spec. | Final classification | Course-unit credits | Obligation | Level | Year | Semester |
N-MAI-P | full-time study | --- no specialisation | -- | Cr,Ex | 4 | Compulsory | 2 | 2 | W |
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2896/2
616 69 Brno
Czech Republic
+420 541 14n nnn
+420 726 81n nnn – GSM Telef. O2
+420 604 07n nnn – GSM T-mobile
Operator: nnnn = 1111