Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Numerical Analysis of Processes

Login to KOS for course enrollment Display time-table
Code Completion Credits Range Language
2181141 Z,ZK 4 2+1 Czech
Lecturer:
Jan Skočilas (guarantor), Rudolf Žitný
Tutor:
Jan Skočilas (guarantor)
Supervisor:
Department of Process Engineering
Synopsis:

Aim of numerical solutions in structural analysis and computer fluid dynamics. Overview of methods(finite differences, finite volumes, finite elements, boundary elements, meshless methods). Special attention is concentrated to FEM. Model parameter identification - optimisation methods. Examples solved using MATLAB and FLUENT.

Requirements:
Syllabus of lectures:

1.Aims of numerical methods, databases of literature.

2.Physical models (transport equations, energetic and entropic principles). Empirical models (neural networks and regression models). Analytical solutions (difussion).

Model identification (optimisation).

3.Black box models. Transfer functions. Convolution. Fourier analysis.

4.Nonlinear ODE (Runge Kutta, Adams). Examples: Delay modelling. Strange attractors.

5.ODE / boundary problems. Weighted residual methods. FEM (Finite element method). Examples: Heat exchangers, pipelines. fnite elements in structural analysis (truss, beams, rotationally symmetric shells).

6. PDE classification (hyperbolic, parabolic and elliptic).

Hyperbolic PDE (truss and beams oscillations, elastic pipes and water hammer). MOC (Method Of Characteristics applied to compressible flows).

7. Finite differences (schemes and stability analysis). Hyperbolic equations - water hammer. Parabolic equations - (coffee bean drying).

8. Finite differences. Pulsation flow. Direct ohmic heating. Identification of model parameters by fminsearch.

9. CFD transport equations. Turbulence and RANS models.

10. Finite Volume Method for transport equations. Navier Stokes equations in formulation with primitive variables (method SIMPLE) and formulation using stream-vorticity functions. Laminar cavity flow (FLUENT and MATLAB).

11. Combustion and multiphase flows. Mixture fraction method for nonpremixed combustion. Principles of VOF, Euler-Euler methods for multiphase flows.

12. Multiphase flows in FLUENT

13. Stochastic methods (DPM - Discrete Particles Method)

Syllabus of tutorials:
Study Objective:
Study materials:

http://www.fsid.cvut.cz/~zitny/naz2007.doc

http://www.fsid.cvut.cz/~zitnyrud/nap1.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap2.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap3.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap4.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap5.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap6.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap7.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap8.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap9.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap10.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap11.ppt

http://www.fsid.cvut.cz/~zitnyrud/nap12.ppt

Note:
Time-table for winter semester 2019/2020:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomT4:C1-311
Skočilas J.
10:45–12:15
(lecture parallel1)
Dejvice
Učebna 311
Tue
Fri
roomT4:A1-207
Skočilas J.
14:15–15:45
ODD WEEK

(lecture parallel1)
Dejvice
Poč. učebna 207
Thu
Fri
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-09-19
For updated information see http://bilakniha.cvut.cz/en/predmet1849406.html