# Before choosing course

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## Content and learning outcomes

### Course contents

The following subjects related to calculation methods for heat transfer and fluid flow are treated in the course:

1. Storing of large numbers in computers (single and double precision)
2. Numerical solutions to differential equations
3. Error analysis in numerical methods (rounding, truncation etc)
4. Main equations for heat transfer in solid materials
5. Divergence theorem
6. Equations for compressible flow: conservation of mass, linear momentum and energy
7. Finite difference method for 1D and 2D heat transfer
8. Euler's solution method for transient heat transfer
9. Stability curves for explicit time marching solutions
10. Higher order time discretisation (Predictor-Corrector Scheme and Runge-Kutta method)
11. Crank-Nicolson method (implicit time marching)
12. Mesh generation
13. Advection equation and “upwind schemes”
14. Lax-Wendroff scheme
15. Introduction to solutions for inviscid flow
16. Introduction to Navier-Stokes equations and turbulence

### Intended learning outcomes

After completing the course with a passing grade the student should be able to:

1. Account for how numerical methods should be applied in modelling of physical processes
2. Describe numerical methods that can be applied in modelling of fluid mechanics phenomena
3. Carry out numerical simulations by means of a commercial CFD tool and present the result in a report

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

ML1000 "Mathematics for engineers" 11 credits, or the equivalent

Only for TAETM

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• LAB1 - Laboratory work, 3,0 hp, betygsskala: P, F
• TEN1 - Written exam, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web MJ2480

### Offered by

ITM/Energy Technology

### Main field of study

Mechanical Engineering

Second cycle