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
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.
Fluid Mechanics (TEP4110), Calculus 4N (TMA4130) and a course in computer programming, or equivalent knowledge.
Recommended previous knowledge
Knowledge about linear wave theory as given in TMR4247 Marine Technology - Hydrodynamics, or equivalent course.