TVM4155 - Numerical Models and Hydraulics


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours D

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, HEC-RAS, SSIIM and OpenFOAM 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.

Compulsory assignments

  • Exercises

Further on evaluation

If there is a re-sit examination, the examination form may be changed from written to oral.

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Course materials

"Numerical Modelling and Hydraulics", 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 2021

No.of lecture hours: 4
Lab hours: 2
No.of specialization hours: 6

Language of instruction: English

Location: Trondheim

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

Department with academic responsibility
Department of Civil and Environmental Engineering



Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Written examination 100/100 D
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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