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Matrix-based techniques for (flow-)transition studies

Song, Weiyan (2019) Matrix-based techniques for (flow-)transition studies. Dissertation, University of Groningen.

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Kurzfassung

Numerical flow simulations are playing a more and more mportant role not only in the scientific field but also in the industrial area, where an experimental practice is either difficult or expensive to realize. Numerical simulation methods have been studied intensively in the past decades to achieve good accuracy as well as low turnaround times. There is no numerical technique which is generally suitable for every problem. Usually, there are specific techniques for a given type of problem. For instance, a preconditioner is created depending on the structure and properties of the matrix arising from the system. The motion of a fluid is governed by the Navier-Stokes equations, which can model different types of fluid flows. For example, the fluid air in the modeling of the earth atmosphere is considered as compressible, while in the simulation of ocean tides, the fluid water is regarded as incompressible. Analytical solutions of the Navier-Stokes equations only exist for a limited number of cases, hence, for general cases, computing efficiently numerical solutions for these equations is essential. We focused on steady-state problems related to incompressible flows. There are basically two approaches to find steady states. The first is a timeintegration method which just finds it by integrating to the steady state. The second is to solve the nonlinear system directly by Newton’s method. The goal here is to get an insight into what kind of problems can be solved readily with a continuation method and which of the approaches, time integration or direct solution, is favorable. For the latter we developed our own parallel continuation program, which is also presented in this thesis.

elib-URL des Eintrags:https://elib.dlr.de/125176/
Dokumentart:Hochschulschrift (Dissertation)
Titel:Matrix-based techniques for (flow-)transition studies
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Song, Weiyanweiyan.aibao (at) gmail.comNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Datum:Januar 2019
Referierte Publikation:Ja
Open Access:Ja
Seitenanzahl:143
Status:akzeptierter Beitrag
Stichwörter:flows with heat transfer, coupled solution, bifurcation analysis, multi-level preconditioning
Institution:University of Groningen
Abteilung:Department of Mathematics and Computer Science
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Raumfahrt
HGF - Programmthema:Technik für Raumfahrtsysteme
DLR - Schwerpunkt:Raumfahrt
DLR - Forschungsgebiet:R SY - Technik für Raumfahrtsysteme
DLR - Teilgebiet (Projekt, Vorhaben):R - Vorhaben SISTEC (alt)
Standort: Köln-Porz
Institute & Einrichtungen:Institut für Simulations- und Softwaretechnik > High Performance Computing
Hinterlegt von: Thies, Jonas
Hinterlegt am:17 Dez 2018 09:37
Letzte Änderung:31 Jul 2019 20:23

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