course-details-portlet

TVM4155

Numerical Models and Hydraulics

Assessments and mandatory activities may be changed until September 20th.

Credits 7.5
Level Second degree level
Course start Spring 2026
Duration 1 semester
Language of instruction English and norwegian
Location Trondheim
Examination arrangement School exam

About

About the course

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. Paralellization of computer programs.

Learning outcome

Knowledge

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.

Skills

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. 11 calculation exercises and 1 laboratory exercise. Lectures are given in Norwegian, but there are on-line videos of all lectures in English. Class notes and all written material are given in English.

Compulsory assignments

  • Exercises

Further on evaluation

Written school exam.

A minimum of 8 exercises must be approved in order to attend the exam.

The re-sit exam will always be written, and will not be changed to oral.

Specific conditions

Admission to a programme of study is required:
Civil Engineering (MTBYGG)
Hydropower Development (MSB1)

Required previous knowledge

Courses in Fluid Mechanics and Hydraulics

Course materials

"Numerical Modelling and Hydraulics", by N. Olsen. The book can be downloaded from our web pages: folk.ntnu.no/nilsol/tvm4155. Additional selected scientific articles. Videos with lectures and assistance for homework.

Credit reductions

Course code Reduction From
SIB5050 7.5 sp
BM8700 7.5 sp Autumn 2023
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • 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

Department with academic responsibility

Department of Civil and Environmental Engineering

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Spring 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.

Re-sit examination - Summer 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.