Computational hydraulics – advanced course [grd1nh]

Programme
Civil Engineering
Study type
Doctoral Studies
Course status
optional
ECTS
8.5
# active classes - per week
Lectures
Exercises
Other
Personal research activity
4
0
0
2
Teaching methods

Lectures, exercices, individuel Internet browsing

Grading scheme - max. 100 points
Colocviums
Semestral work
Oral exam
Written exam
Other
0
50
0
50
0
Aim

To qualify a candidate to use numerical methods in solving different problems in hydraulic engineering.

Outcome

Improved level of knowledge, skills, understanding and competence of candidates in the field of numerical treatment of the basic conservation laws applied to the problems: a) flow in pipes, b) open channel flow and surface water flow, and c) flow in porous media.

Contents

Sources of errors. Interpolation and approximation. Calculation of an integral. Numerical differentia­tion. Solution to a system of linear equations. Solution to a system of non-linear equations. Solution to an ordinary differential equation. Solutions to hyperbolic, parabolic and elliptic patrial differential equations. Finite-volume methods. Finite-element methods.

Literature

1. Hoffman, J. D. Numerical Methods for Engineers and Scientists , Taylor & Francis, 2001.

2. Chapra, S. and R. Canale. “ Numerical Methods for Engineers ”, 6th edition, McGraw-Hill Higher Education, New York, 2010.

3. Carnahan, B., Luther, H.A., Wilkes, J.O. Applied Numerical Methods, John Wiley & sons, New York, 1960,

4. Ferziger, J.H. and M. Peric. Computational Methods for Fluid Dynamics, Springer London, Limited, 2002

5. Hildebrand, F.B., Introduction to Numerical Analysis, McGraw-Hill, New York, 1974.

6. Аbbot, M. B. and D.R., Basco. “ Computational Fluid Dynamics: An Introduction for Engineers“, Longman Sc & Tech.,1990

7. Jovanović, M., Osnove numeričkog modeliranja ravanskih otvorenih tokova, Građevinski fakultet Beograd, 1998.

8. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., “Numerical Recipes”, Cambridge University Press, 1986.

9. Radojković, M., Klem, N., “Primena računara u hidraulici”, Građevinska knjiga, Beograd, 1989.

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