Numerical Modelling

Undergraduate course

Course description

Objectives and Content

In this course you learn to use numerical methods to solve simple problems in fluid dynamics. We study exact and numerical solutions of partial differential equations linked to advection, diffusion, oscillation and wave processes, and discuss the strengths and weaknesses of different numerical schemes.

You will learn to use methods to solve initial value problems and show how you can solve diagnostic boundary value problems with guessing and correction.

Learning Outcomes

On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:


The student

  • can describe how a numerical model is built up and how numerical schemes and grids influence the behavior of the model
  • can test a scheme for numerical stability
  • can discuss the scale dependency of the model results, and discriminate physical effects and model artefacts
  • knows how an iteration procedure works for solving a boundary value problem


The student

  • is able to discretize an equation in a consistent way, and assess the accuracy of the discretization- is able to analyze the various sources of error that may turn up in the model, like damping errors and phase errors
  • is able to discuss limitations of a numerical model

General competence

The student

  • can use programming tools to make numerical calculations
  • can use numerical models as a tool to solve dynamical problems in meteorology or oceanography
  • understands modelling terminology

ECTS Credits


Level of Study

Bachelor's and Master`s level

Semester of Instruction

SpringEnrolment to this course is based on application. Application deadline is Thursday in week 2 for the spring semester. Please see this page for more information:
Required Previous Knowledge
Knowledge in mathematics equivalent to MAT111
Recommended Previous Knowledge

INF100, MAT112, MAT131, GEOF110.

The course is based on knowledge of first- and second-order partial differential equations, Taylor series, and functions with several variables. You should master basic programming.

Credit Reduction due to Course Overlap
Access to the Course
Access to the course requires admission to a programme of study at The Faculty of Mathematics and Natural Sciences
Teaching and learning methods
Activity-based learning
Compulsory Assignments and Attendance
  • Compulsory attendance at the first lecture.
  • Peer-review assessment of 2 assignments
  • Forms of Assessment
    GEOF211 uses portfolio assessment based on 5 assignments you hand in throughout the semester and a connecting reflection note of 400-700 words. You will receive feedback on each of the assignments and you make updates and hand in a combined portfolio for assessment. The process and progression in your work is included in the assessment through 1) changes you make based on feedback on the individual assignments and 2) reflections on your own learning in the reflection note.
    Grading Scale
    The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
    Assessment Semester
    Reading List
    The reading list will be available within December 1st for the spring semester.
    Course Evaluation
    The course will be evaluated by the students in accordance with the quality assurance system at UiB and the department.
    Examination Support Material
    Programme Committee
    The Programme Committee is responsible for the content, structure and quality of the study programme and courses.