Direct Numerical Simulation of Liquid-Gas-Solid Flows Based on the Lattice Boltzmann Method

Direkte Numerische Simulation von Flüssig-Gas-Feststoff-Strömungen basierend auf der Lattice Boltzmann-Methode

Please always quote using this URN: urn:nbn:de:bvb:29-opus4-87191
  • Liquid-gas-solid three-phase flows play an important role in nature and industrial applications. In this thesis, a direct numerical simulation technique for liquid-gas-solid flows is presented. The model is based on the lattice Boltzmann method for hydrodynamics, a free surface volume-of-fluid approach for liquid-gas interface tracking, and a Lagrangian rigid body representation of solid particles. The theory of the free surface lattice Boltzmann method is developed in detail, including an analysis of lattice Boltzmann boundary conditions for free surfaces, a comparison of different volume-of-fluid surface tension models, and an analysis of the overall method accuracy. Finally, a couplingLiquid-gas-solid three-phase flows play an important role in nature and industrial applications. In this thesis, a direct numerical simulation technique for liquid-gas-solid flows is presented. The model is based on the lattice Boltzmann method for hydrodynamics, a free surface volume-of-fluid approach for liquid-gas interface tracking, and a Lagrangian rigid body representation of solid particles. The theory of the free surface lattice Boltzmann method is developed in detail, including an analysis of lattice Boltzmann boundary conditions for free surfaces, a comparison of different volume-of-fluid surface tension models, and an analysis of the overall method accuracy. Finally, a coupling to the Lagrangian rigid body simulation is presented to extend the method to liquid-gas-solid flows. The method is applied to simulate bubble-particle interaction in a containing liquid. Thus, simulations of gas bubbles within particle suspensions become possible. As a test case, a bubble-induced mixing process of up to 178486 fully resolved particles is simulated. Thanks to the scalability of the method on parallel computers, arbitrarily complex setups are possible, if sufficient resources are provided. The thesis is completed with a self-contained introduction to the lattice Boltzmann method for hydrodynamics. The consistency of the method with the incompressible Navier-Stokes equation is studied by means of Chapman-Enskog analysis.show moreshow less

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics
Metadaten
Author:Simon Bogner
URN:urn:nbn:de:bvb:29-opus4-87191
Publisher:Verlag Dr. Hut
Place of publication:München
Advisor:Ulrich Rüde, Manfred Krafczyk, Jens Harting
Document Type:Doctoral Thesis
Language:English
Year of Completion:2017
Embargo Date:2017/08/14
Publishing Institution:Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
Granting Institution:Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Technische Fakultät
Date of final exam:2017/03/04
Release Date:2017/08/30
SWD-Keyword:FLU
Pagenumber:1 -- 205
Institutes:Technische Fakultät
CCS-Classification:J. Computer Applications
Dewey Decimal Classification:Informatik, Informationswissenschaft, allgemeine Werke / Informatik, Wissen, Systeme / Spezielle Computerverfahren
MSC-Classification:65-XX NUMERICAL ANALYSIS
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section {04 in that areag 68-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX)
PACS-Classification:40.00.00 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
open_access (DINI-Set):open_access
Licence (German):Creative Commons - Namensnennung-KeineBearbeitung