Introduction to the development, analysis, and application of computational methods for solving conservation laws with an emphasis on finite volume, limiter based schemes, high-order essentially non-oscillatory schemes, and discontinuous Galerkin methods. ...
The dynamics of ordinary matter in the Universe follows the laws of (magneto)hydrodynamics. In this course, the system of equations that describes astrophysical fluids will be discussed on the basis of selected astrophysical examples, from the physics of s ...
This course considers the multi-scale computational modeling of hard-matter systems, with an emphasis on the physical phenomena of matter transport and emergent macroscopic mechanical properties, and how their microscopic origin is coarse grained to the en ...
Navier-Stokes equation and basic flow solutions / Hydraulic resistance and compliance
Capillary effects / Diffusion and mixing on the microscale
Electrohydrodynamics and Electroosmosis, Nanofluidics
Dielectrophoresis and Magnetophoresis ...
The introduction to asymptotic analysis provides the basis for constructing many simplified analytical models in mechanics and for testing computations in limiting cases. ...