course-details-portlet

TVM4155

Numerical Models and Hydraulics

Choose study year
Credits 7.5
Level Second degree level
Course start Spring 2025
Duration 1 semester
Language of instruction English
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.

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. Lectures are given in English. 11 calculation exercises and 1 laboratory exercise.

Compulsory assignments

  • Exercises

Further on evaluation

Written school exam.

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

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.

Other pages about the course

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

Course coordinator

Lecturers

Department with academic responsibility

Department of Civil and Environmental Engineering