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

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title: Mathematical models in fluid flow, heat transfer and diffusion
Course unit code: D1-MMPVD
Mode of completion and Number of ECTS credits: Exam-PhD (5 credits)
Name of lecturer: doc. RNDr. Peter Frolkovič, PhD. (examiner, instructor, lecturer) - slovak, english
prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
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.
Prerequisites and co-requisites: none
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.
Recommended or required reading:
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.

Planned learning activities and teaching methods: Seminar
0/2 - 24 hours per semester (on-site method)
Assesment methods and criteria: exam
Language of instruction: Slovak, English
Work placement(s): There is no compulsory work placement in the course unit.

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

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