TVM4155 - Numerical Models and Hydraulics


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
Written examination 100/100 4 timer

Course content

Analytical and numerical methods for computation of free surface profiles and flood waves in rivers. Metods to compute dispersion processes in 1, 2 and 3 dimensions. Algorithms to solve the Navier-Stokes equations for turbulent flow, including the use of computer programs. Topics from limnology, chemistry, biology and sediment transport, together with algorithms to model such processes in multiple dimensions.

Learning outcome

The student will get knowledge about:
- How the following equations can be solved using a control-volume method: St. Venands equaiton, Convection-Diffusion equation and Navier-Stokes equations.
- Quality of the solution of the equations: accuracy, stability and sources of errors.
- Stratified flow, lake/reservoir hydraulics, discharge to receiving waters, sediment transport, turbulence models and models for water quality.

The student will know how to:
- Use spreadsheets, SSIIM and HEC-RAS to compute stationary and non-stationary flow.
- Make a grid for multi-dimensional numerical computations.
- User simplified formulas for flood waves, discharge into receiving waters, dispersion of pollutants and sediment transport.

General competence
The student:
- Know different computer programs for solutions of various flow problems.
- Can assess the quality of the results from 1D, 2D and 3D numerical models and give specifications to quality tests.

Learning methods and activities

Lectures, assignments using computers and hand calculations. Lectures are given in English. If there is a re-sit examination, the examination form may be changed from written to oral.

Compulsory assignments

  • Exercises

Course materials

"Hydroinformatics, Fluvial Hydraulics and Limnology", by N. Olsen. The book can be downloaded from our web pages: Additional selected scientific articles.

Credit reductions

Course code Reduction From To
SIB5050 7.5
More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2012

Language of instruction: English


Subject area(s)
  • Algorithm Construction
  • Analysis
  • Energy- and Environmental Physics
  • Hydro and Gas Dynamics
  • Hydraulics
  • Hydraulic Engineering
  • Soil and Water Subjects
  • Numerical Mathematics
  • Numerical Mathematics
  • Fluid Mechanics
  • Technological subjects
  • Environmental Engineering
  • Hydraulic Engineering
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility


Examination arrangement: Written examination

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD Written examination 100/100 2012-05-23 15:00
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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