Introduction to Computational Fluid Dynamics 1100-ICFD

• Time integration (stability, forward, backward and midpoint Euler, Crank-Nicolson, leapfrog, Runge-Kutta, multistep methods.)
• Finite differences
• Numerical linear algebra (Gaussian elimination, LU and QR decomposition, conjugate gradients, eigenproblems)
• Poisson problem (Gauss-Seidel iteration, successive over-relaxation,multigrid,fast Fourier transform)
• Hyperbolic equations (Lax-Friedricks,Crank-Nicolson,Lax-Wendroff,MPDATA)
• Special topics depending on the specific interests of the students attending the course (particle-based methods, Lattice Boltzmann, spectral methods,vortex methods).

Main fields of studies for MISMaP

physics
mathematics

Mode

Classroom

Prerequisites (description)

The course is designed for students with programming skills and who have taken (or are simultaneously taking) a course on Hydrodynamics and Elasticity.

Course coordinators

Gustavo Coelho Abade

Assessment criteria

The completion of this course will be assessed based on:
- 60% theoretical and numerical home exercises,
- 40% written report on the main numerical project performed by the student.
Attendance at lectures and tutorials is encouraged, but is not compulsory.

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1100-ICFD in USOSweb