Course Syllabus for

Numerical Heat Transfer Numerisk värmeöverföring

MMV042F, 9 credits

Valid from: Autumn 2013
Decided by: FN3/Per Tunestål
Date of establishment: 2013-03-06

General Information

Division: Energy Sciences
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MMV042
Teaching language: English

Aim

This course aims to provide knowledge, understanding and skill concerning numerical methods for solving heat transfer problems, particularly for forced convective heat transfer.

Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• After completion of the course the students should be able to:
• Describe the finite volume and the finite difference methods as well classify partial differential equations
• explain important and basic concepts for numerical heat transfer
• describe various methods for handling convection-diffusion terms and algorithms for the pressure-velocity coupling,
• explain various methods to solve algebraic equations

Competences and Skills

For a passing grade the doctoral student must

• After completion of the course the students should be able to:
• actively participate in discussion concerning heat transfer problems and numerical methods to solve such,
• be able to present numerical solution procedures and simulated results both orally and in written form
• define and formulate heat transfer problems for numerical simulation,
• apply the finite volume technique and the finite difference method to solve heat transfer problems,
• set up simple computer programmes and apply a more general computer code

Course Contents

In the first stages an overview of various numerical methods and the governing partial differential equations are classified in a general manner. The finite volume technique and the finite difference technique are mainly considered. The usefulness and limitations of the methods are discussed. The handling of so-called convection-diffusion terms is treated in details and commonly used algorithms are presented. Numerical diffusion and its effects are presented. Algorithms for handling the coupling between the pressure and velocity fields are discussed thoroughly and the procedures SIMPLE, SIMPLEC, SIMPLEX and PISO are introduced. Staggered and non-staggered (colocated) grids are discussed and turbulence modeling is summarized briefly. Methods for solving algebraic equations are presented-. In the design tasks some calculations can be carried out by a pocket calculator while some others require computer coding by the students. In addition, a general in-house computer code for two-dimensional problems is provided. Information and applications of commercially available codes are demonstrated. By solving a number of design tasks, tutorial sessions etc, the students will get skill in solving various heat transfer problems of engineering relevance.

Course Literature

will be decided at the beginning of the course

Instruction Details

Types of instruction: Lectures, laboratory exercises, exercises

Examination Details

Examination formats: Written exam, written assignments
Grading scale: Failed, pass
Examiner: