MEK-INF3210 – Modeling of fluid flow, heat transfer and solid deformation.

Course content

Part 1: Formulation and simplification of general models for fluid flow, heat transport and elastic deformation in actual (concrete) industrial and scientific applications.

Part 2: A general framework to build mathematical models for (coupled) fluid flow, heat transport and elasto-plastic deformation. The modeling is based on a continuum description of nature. Central topics are analysis of stress, conservation laws, integral formulations, partial differential equations, boundary and initial value conditions, scaling, simplification, reduction of dimension, evaluation of the results. Particular emphasis is put on the formulation complete boundary value problems suitable for modern numerical software. The teaching is focused on practical solution of problems.

Learning outcome

The students shall become familiar with how to set up and use mathematical models, based on partial differential equations, for complicated and industrially relevant problems. An important goal is to see the relationship between different mathematical models. Traditionally this type of modeling is characterized by limitations in the analytical methods for solution, but in modern industry and science one applies numerical solution techniques and advanced software. The course therefore represents a significant modernization of the classical theory of continuum mechanics, adopted to numerical simulation. The manner in which the mathematical models must be formulated is briefly covered in physics/mechanics courses and numerics courses. This course shall therefore contribute to fill the gap between physics/mechanics and informatics. It is a goal that the course shall be basic and relevant for mathematically oriented master students in mechanics, physics, informatics, geology, geophysics and astronomy.

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).