Oberwolfachseminar CFD
Aus Numerik
Lectures
Monday
- Introduction to CFD - Equations and Phenomena (PDF-Download)
- Basic numerical methods for the advection equation, Godunov-type schemes, Riemann solvers, linearized Riemann problem (PDF-Download)
Tuesday
- High Order Accuracy in Space and Time for FV Schemes (PDF-Download)
- Finite Volume Schemes for Nonlinear Hyperbolic Systems on Unstructured Meshes (PDF-Download)
- Discontinuous Galerkin Schemes - Basic Description (PDF-Download)
Wednesday
- Numerical methods for multidimensional hyperbolic problems on Cartesian grids
- Cartesian grid methods
- Adaptive mesh refinement on Cartesian grids
Download: (PDF)
Thursday
- Time Discretization for Discontinuous Galerkin Schemes (PDF-Download)
- ADER-FV Schemes for Hyperbolic Systems with Stiff Source Terms (PDF-Download)
- PN PM Schemes for Conservative and Non-Conservative Viscous Systems (PDF-Download)
Friday
Singular limits in fluid dynamics
- Compressible Navier Stokes Equations, Analysis of the low Mach number limit (PDF-Download)
- A linear model problem, How to use asymptotic information in numerics (PDF-Download)
- The Boltzmann equation and the limit of small Knudsen number, Lattice Boltzmann schemes (PDF-Download)
Materials
- Announcement for the course "Advanced Numerical Methods for Hyperbolic Equations and Applications" in Trento (Download)
- Explicit Discontinuous Galerkin Schemes with Adaptation in Space and Time (PDF-Download)
- Discontinuous-Galerkin-Verfahren für zeitabhängige Advektions-Diffusions-Gleichungen (PDF-Download)
Matlab exercises
- Matlab code monday (Download)
- Matlab code thursday (Download)
- Matlab code friday (Download)