Master thesis and internship[BR]- Master's thesis : Improving the Conditioning of the Acoustic Subsystem and Source Terms in Multifluid Plasma Equations of State[BR]- Integration Internship
Clotuche, Julien
Promotor(s) : Hillewaert, Koen
Date of defense : 27-Jan-2023 • Permalink : http://hdl.handle.net/2268.2/16754
Details
Title : | Master thesis and internship[BR]- Master's thesis : Improving the Conditioning of the Acoustic Subsystem and Source Terms in Multifluid Plasma Equations of State[BR]- Integration Internship |
Translated title : | [fr] Amélioration du conditionnement du sous système acoustique et termes sources dans les équations d'états des plasmas multifluides |
Author : | Clotuche, Julien |
Date of defense : | 27-Jan-2023 |
Advisor(s) : | Hillewaert, Koen |
Committee's member(s) : | Magin, Thierry |
Language : | English |
Number of pages : | 64 |
Keywords : | [en] Discontinuous Galerkin Finite Element Method [en] Plasma [en] Conditioning |
Discipline(s) : | Engineering, computing & technology > Aerospace & aeronautics engineering |
Funders : | Université de Liège |
Research unit : | Département d'Aérospatiale et Mécanique |
Target public : | Researchers Professionals of domain Student |
Institution(s) : | Université de Liège, Liège, Belgique |
Degree: | Master en ingénieur civil en aérospatiale, à finalité spécialisée en "aerospace engineering" |
Faculty: | Master thesis of the Faculté des Sciences appliquées |
Abstract
[en] This work is realised in the ForDGe software and is a step towards the development of a tool
capable of modeling electric propulsion such as Hall effect thrusters. It shows how the change
from a non-dimensionlisation scheme with single velocity scale to a species dependent velocity
scale improves the performances of the ForDGe software in the context of plasma modeling.
ForDGe uses the Discontinuous Galerkin method, which is a combination of the principles
of Finite Element and Finite Volume Methods, in combination with a Runge-Kutta time
integration scheme. To explore the performances of the new non-dimensionalisation two test
cases are used: the sod shock tube test case with and without computation of the electric
potential.
The improvements metrics are the precision of the results and the convergence rate of
the linear solver used in the time integration scheme: GMRes. The precision improvement is
measured in the balance of the non-dimensionalised variables and accuracy of the results as
adjudicated by analytical solutions. The convergence rate is dependent on the clustering of
the eigenvalues of the expanded Jacobian and its improvement is measured by the scattering
of those eigenvalues. The test cases show that the new non-dimensionalisation reduces the
bias towards the electron particle momentum. The multi velocity scaling scheme also finds
correct results for the computation of the electric potential where the single velocity scaling
scheme does not and the eigenvalues of the multi velocity scaling scheme are more clustered.
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