Computational Engineering II (141378)

Nearly all areas in electro-technical applications consists of technical systems (e.g., Plasmareactor, Deposition apparaturs, mobile phone), which are based on electromagnetic phenomenons. Here, we discuss the fundamental ideas of the engineering modelling with Maxwell equations. While in their standard description the describe the relation between current, charges and electro-magnetic fields, we discuss moreover the coupling with hydrodynamics. Such  coupling results in magnetohydrodynamics applications and new solvers, e.g., multiscale solvers are necessary. Based on the pure Maxwell equations, which has a strong coupling of electrics and magnetics fields, we need robust numerical discretisation and solver methods for the partial differential equations. In the leecture, we discuss the multiscale models, and the solver methods for the coupled electro-magnetic and hydrodynamics equations. We present the derivation of the modelling equations, and their efficient and robust methods for the numerical simulations. We present FDTD-Methoden (Finite-Difference Time-Domain), Finite Volume methods for the discretization. While the large equation systems have to be solved with parallel methods,  we discuss domain-decomposition methods and parallelization in time and space. The lecture is an extension to the  Computational Engineering I, which presents Multiscale methods for hydrodynamics applications. At the beginning, we repeat the topic and discuss the basic ideas of the numerical schemes. In the practical part of the lecture, we present opensource programs (commercial and academics) and discuss the multiscale methods. The Program-packages can be tested in an Hands-On-part as Matlab programs in the CIP pool.