MEK-INF3210 – Modeling of fluid flow, heat transfer and solid deformation.
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.
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.
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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).
Recommended previous knowledge
Good background in calculus, linear algebra, scalar- and vector fields. Some knowledge about the notions stress and stress tensor will be an advantage. Relevant courses are MAT-INF1100 – Modelling and computations, MAT1100 – Calculus, MAT1110 – Calculus and Linear Algebra, MAT1120 – Linear algebra, MEK1100 – Vector Calculus and at least 10 credits in mechanics/physics. MEK2200 – Continuum Mechanics is a very good background.
9 credits with ME211.
*The information about overlaps is not complete. Contact the department for more information if necessary.
4 hours of lectures every week.
Written examination. Letter grading (A-F).
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.