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Before choosing courseMJ2444 Theory and Practice of Computational Methods in Energy Technology 7.5 creditsAdministrate About course

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* Retrieved from Course syllabus MJ2444 (Spring 2020–)

Content and learning outcomes

Course contents

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)

12. Meshing

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:

1. Describe numerical methods for treating partial differential equations, derive specific expressions for programming, and analyze sources of error

2. Define governing equations for relevant physical processes and construct representative numerical simulations

3. Account for current developments in computational fluid dynamics methods and software, contrasting selected approaches in analysis

4. Conduct numerical simulations with commercial computational fluid dynamics software and analyze results in terms of validity and accuracy,   including comparisons to real processes

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites

  • MJ1401 "Heat Transfer" 6cr, or equivalent
  • SG1220 "Fluid Mechanics for Engineers" 6hp, or equivalent

Recommended prerequisites

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Information on relevant literature distributed at course start.

Examination and completion

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

Grading scale

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


  • INLA - Home assignment, 0,5 hp, betygsskala: P, F
  • INLB - Home assignment, 0,5 hp, betygsskala: P, F
  • LABA - Computer laboratory, 3,5 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

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Opportunity to raise an approved grade via renewed examination

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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 MJ2444

Offered by

ITM/Energy Technology

Main field of study

Mechanical Engineering

Education cycle

Second cycle

Add-on studies

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