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Numerical Solution of Integro-Differential Equations

Dornbusch, Nils (2019) Numerical Solution of Integro-Differential Equations. Master's, Universität zu Köln.

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In the first part of this work we take a look at the incompressible Navier Stokes equations, where the stress tensor is modeled according to the Maxwell Model for Non-Newtonian fluids. We perform a dimensional reduction of the governing equations and derive a numerical scheme for the arisng integro-differential Equations. The second part takes a look at a different integro-differential equation and we develop three different approaches for solving it. This is considered a first step for trying to solve the equations from the first part in a more general setting. The main result of this work is an algorithm that can simulate a 2D cross section of a rheometer.

Item URL in elib:https://elib.dlr.de/129613/
Document Type:Thesis (Master's)
Title:Numerical Solution of Integro-Differential Equations
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Date:September 2019
Refereed publication:No
Open Access:Yes
Number of Pages:69
Keywords:Integro-Differentialgleichungen, Nichtnewtonsche Fluide, Finite-Elemente-Methode, Simulation
Institution:Universität zu Köln
Department:Mathematisch-Naturwissenschaftliche Fakultät, Department Mathematik/Informatik
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben SISTEC (old)
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Deposited By: Kontak, Max
Deposited On:28 Nov 2019 10:41
Last Modified:28 Nov 2019 10:41

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