Simulations of the Karlsruhe Dynamo Using the Lattice-Boltzmann Method

Simulationen des Karlsruhe Dynamos mit der Gitter-Boltzmann Methode

by Aveek Sarkar
Doctoral thesis
Date of Examination:2005-07-04
Date of issue:2005-10-18
Advisor:Prof. Dr. Andreas Tilgner
Referee:Prof. Dr. Andreas Tilgner
Referee:Prof. Dr. Ulrich Christensen
Referee:Prof. Dr. Stefan Dreizler
Persistent Address: http://dx.doi.org/10.53846/goediss-2634

 

 

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Abstract

English

The dynamo mechanism is on the way of understanding. Several numerical simul ations have shown the dynamo mechanism successfully. In recent years dynamo mech anism could be brought down to the laboratory even, where self-sustained magneti c field is observed (fed by the kinetic energy of the fluid, as predicted in the theory). One of these successful laboratory experiments is situated in Karlsruhe, Germany.Even though the magnetic field is self sustained in the experiment, the magn etic field oscillation around its mean value is still to be discovered.Simulations of the dynamo effect require the simultaneous integration of the Navier-Stokes equation and of the Induction equation of electrodynamics. We dev elop a hybrid method in which the Navier-Stokes equation is solved with a Lattic e-Boltzmann method and the Induction equation is treated with a spectral method.Later, this hybrid code is used to simulate the Karlsruhe Dynamo experiment and we suggest the cause of the magnetic field oscillation in this thesis.
Keywords: Dynamo; Magnetohydrodynamics; Numerical Methods

Other Languages

Die Dynamoeinheit ist auf der Weise des Verstehens. Einige numerische simul ations haben die Dynamoeinheit erfolgreich gezeigt. In den letzten Jahren Dynamo könnte mech anism zum Labor sogar gesenkt werden, wo Selbst-unterstütztes magnetic wird beobachtet auffangen (eingezogen durch die kinetische Energie der Flüssigkeit, wie in der Theorie vorausgesagt). Eins dieser erfolgreichen Laborexperimente wird in Karlsruhe, Deutschland aufgestellt. Numerisch versuchen wir, diesen Dynamo zu simulieren.
Schlagwörter: Dynamo; Magnetohydrodynamik; Numerische Methoden
 
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