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# Sylabus předmětu D1-MMPVD - Mathematical models in fluid flow, heat transfer and diffusion (FCE - 2019/2020 - post-graduate studies)

Informačný list          ECTS          Sylabus

Slovenština          Angličtina

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: D1-MMPVD
Course unit title: Mathematical models in fluid flow, heat transfer and diffusion
Mode of delivery, planned learning activities and teaching methods:
 workshop 2 hours weekly / 26 hours per semester of study (on-site method)

Credits allocated: 5

Recommended semester/trimester: -- item not defined --
Level of study: 3.
Prerequisites for registration: none

Assesment methods:
Correct elaborating of all assigments during semester.
Obtaining at least 56 points on the exam.

Learning outcomes of the course unit:
The aim of the course is to familiarize PhD students with mathematical models and numerical methods used in solving problems of hydrodynamics as well as thermal and diffusion problems.

Course contents:
• Heat equation, equation of diffusion and flow in porous media.
• Continuity equation, Euler's equations of ideal gas flow.
• Navier - Stokes equations for viscous flow.
• Reynolds equations for turbulent flow.
• Numerical methods of solving partial differential equations - the finite element method and the finite volume method.

Basic:
 REDDY, J. An Introduction to the Finite Element. New York : McGraw-Hill, 1993. 684 p. ISBN 0-07-112799-2. LEVEQUE, R J. Finite volume methods for hyperbolic problems. Cambridge : Cambridge University Press, 2002. 558 p. ISBN 0-521-00924-3. FEISTAUER, M. Mathematical methods in fluid dynamics. London: Longman Scientific and Technical, 1992. 657 p.

Language of instruction: slovak and english or english

Notes:

Courses evaluation:
Assessed students in total: 3

PN
100,0 %0 %
Name of lecturer(s): doc. RNDr. Peter Frolkovič, PhD. (examiner, instructor, lecturer) - slovak, english
prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english

Last modification: 31. 10. 2017
Supervisor: prof. RNDr. Karol Mikula, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 10/31/2017.

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