This course will be discontinued.
Last planned examination: Spring 2024
Decision to discontinue this course:
The course is discontinued at the expiration of the autumn semester 2024 according to a decision by the Dean of the ITM School : M-2022-0614. Decision date: 22/04/2022.
The course is given for the last time during spring semester 2022. Final opportunity for examination will be given during spring semester 2024.
Content and learning outcomes
The following topics on computational methods for heat conduction and fluid flow are covered in the course:
1. How computers store numbers (single and double precision)
2. Numerical differentiation (central and forward differencing)
3. Errors in numerical methods (truncation, round-off, etc)
4. Heat conduction in solids: governing equations
5. Divergence Theorem
6. Compressible inviscid flow equations: conservation of mass, momentum and energy.
7. Finite difference method for steady 1D and 2D for heat conduction
8. Euler method for solving unsteady heat conduction equations (explicit time marching)
9. Higher order time-stepping (Predictor-Corrector Scheme and Runge-Kutta method
10. Stability limits for explicit time-marching
11. Crank-Nicolson Method (implicit time-marching)
13. Advection equation and upwind schemes
14. Lax-Wendroff scheme
15. Introduction to solving inviscid flow equations
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:
- Describe numerical methods for treating partial differential equations, derive specific expressions for programming, and analyze sources of error
- Define governing equations for relevant physical processes and construct representative numerical simulations
- Conductnumerical simulations withcommercial computational fluid dynamics software and analyze results in terms of validity and accuracy, including comparisons to real processes
Literature and preparations
Bachelor of Science or corresponding + MJ1401 "Heat transfer" 6cr or corresponding + SG1220 "Fluid Mechanics" 6cr, or corresponding
Information on relevant literature distributed at start of course.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
- INL1 - Home assignment, 0.5 credits, grading scale: P, F
- INLB - Home assignment, 0.5 credits, grading scale: P, F
- LAB2 - Computer laboration, 2.0 credits, grading scale: P, F
- TEN1 - Written exam, 3.0 credits, grading scale: 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
Opportunity to raise an approved grade via renewed examination
- 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 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 MJ2424
Main field of study
If few students sign up for the course, it will be given in reduced form, mainly as selfstudies with supporting help.