/AST5110

Numerical modeling

Primary LanguagePython

AST5110: Numerial modeling

An introduction to numerical methods used in astrophysics and especially in modeling of systems described by the MHD equations.

Learning outcome

Completion of the course provides expertise in the following:

  • discretization of simple hyperbolic PDE's such as the advection equation
  • examination of the stability of difference equations using von Neummann stabilty analysis
  • implicit and explicit numerical schemes and solution techniques for these
  • multi-grid methods
  • characteristic equations and boundary conditions based on these

http://www.uio.no/studier/emner/matnat/astro/AST5110/h14/index.html

Exercises:

Multigrid motivation

Different grid sizes have results converging at different scales to different structures

Set 3 solution 1

Residuals

Set 3 solution 2

Relative error, compared to analytic solution

Set 3 solution 3