Course content

Time integration methods for ordinary differential equations, spatial discretization methods of partial differential equations, stability of numerical schemes, direct and iterative solvers for systems of linear equations, classification of partial different equations, schemes for the solution of the incompressible Navier-Stokes equations, convergence tests, basic knowledge of different numerical grids, basic knowledge of turbulence models applied in CFD, basic knowledge of parallellization methods, basic knowledge of free surfaces in CFD

Learning outcome

The first part of the course aims at providing basic knowledge of CFD such as different mathematical and numerical methods and how these can be combined into a CFD solver. The second part focuses on application on these methods, the choice of appropriate methods for different problems and how to ensure that a CFD simulation is accurate. The third part gives some perspectives on application of CFD for marine problems, such as the application of turbulence models, treatment of free surfaces, and the main idea behind parallellization.

Learning methods and activities

Lectures, two large compulsary exercises including both implementation tasks and application tasks (simulations)

Compulsory assignments

• Computing and programming
• Simulation exercise

Recommended previous knowledge

Knowledge about linear wave theory as given in TMR4247 Marine Technology - Hydrodynamics, or equivalent course.

Required previous knowledge

Fluid Mechanics (TEP4110), Calculus 4N (TMA4130) and a course in computer programming, or equivalent knowledge.

Course materials

Joel .H. Ferziger and Milovan Peric: Computational methods for fluid dynamics, Second edition, Springer O. C. Zienkiewicz and K. Morgan: Finite elements and approximation, Wiley