Holdings: Jet and fiber dynamics with high elongations: models, numerical strategies and applications.

Jet and fiber dynamics with high elongations: models, numerical strategies and applications.: = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen

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Bibliographic Details
Main Author:	Schießl, Stefan 1986- (Author)
Corporate Author:	Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (Editor)
Format:	Thesis Book
Language:	English
Published:	Stuttgart Fraunhofer Verlag 2017
Subjects:	Simulation Finite-Volumen-Methode Gitterverfeinerung Spinnverfahren PBW PDG Jet spinning processes Time-dependent domains Finite Volume method Staggered grid Transient simulation Mathematische Modellierer Simulationsingenieure Numeriker Hochschulschrift
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	187 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm
ISBN:	9783839612415

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MARC


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Record in the Search Index

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adam_text	C ONTENTS 1 INTRODUCTION 9 2 MODELING THE BEHAVIOR OF JETS AND FIBERS 13 2.1 THEORY OF RODS ................................................................................................... 13 2.1.1 KINEMATICS AND D Y N A M IC S .................................................................... 14 2.1.2 GEOMETRIC M O D E L.................................................................................... 17 2.1.3 MATERIAL L A W S .......................................................................................... 18 2.1.4 ENERGY B A LA N C E ....................................................................................... 21 2.1.5 EXTERNAL LOADS.......................................................................................... 21 2.2 FORMULATIONS FOR THE VISCOUS JET M O D E L ........................................................... 21 2.2.1 GENERAL PARAMETERIZATION....................................................................... 22 2.2.2 NON-DIMENSIONALIZATION.......................................................................... 27 2.2.3 PARAMETERIZATION OF THE ROTATIONAL G R O U P ........................................... 28 2.2.4 INDEX ANALYSIS AND A STABILIZED REDUCED INDEX FORMULATION................ 30 2.2.5 VISCOUS JET M O D E L ................................................................................... 36 2.3 BOUNDARIES AND SPACE-TIME DOMAINS FOR SET-UPS ........................................... 37 2.3.1 POSITION AND TENSION-FREE B O U N D A RY ..................................................... 41 2.3.2 BOTH TENSION-FREE BOUNDARIES .......................................................... 47 2.3.3 BOTH POSITION BOUNDARIES....................................................................... 48 3 ADAPTIVE MESHES: REFINEMENT 51 3.1 THREE PARAMETERIZATION LA Y E R S .......................................................................... 52 3.2 ADAPTION STRATEGY................................................................................................ 54 3.3 DESIRED RE-PARAM ETERIZATION............................................................................. 61 4 NUMERICAL SCHEME 69 4.1 FINITE VOLUME M E TH O D ...................................................................................... 69 4.1.1 SCHEME AND TRUNCATION E R R O R ................................................................. 70 4.1.2 INITIAL AND BOUNDARY CONDITIONS........................................................... 78 4.1.3 A LGORITHM ................................................................................................ 82 4.1.4 SOLUTION RECONSTRUCTION . .......................................................................... 83 4.2 APPLICATION TO THE JET M O D E L............................................................................. 84 4.3 APPLICATION TO R-REFINEMENT STRATEGIES.............................................................. 86 5 CONVERGENCE AND PERFORMANCE 89 5.1 ACADEMIC SCENARIO: VISCOUS CANTILEVER.............................................................. 89 5.2 CONVERGENCE ORDER ............................................................................................. 91 5.3 AVOIDING A SINGULAR JACOBIAN ................................................................... 95 CONTENTS 5.4 A DAPTIVITY........................................................................................................... 96 5.4.1 COST OF GENERAL PARAMETERIZATION ........................................................ 97 5.4.2 SUITABLE RE-PARAMETERIZATION ................................................................. 99 6 APPLICATIONS 105 6.1 ROTATIONAL SPINNING P R O C E S S .............................................................................. 105 6.1.1 MODEL ALTERATION, EXTERNAL LOADS AND P ARAM ETERS ............................... 107 6.1.2 NUMERICAL METHOD AND INVESTIGATION .................................................. 108 6.1.3 PARAMETER S T U D Y .................................................................................... 114 6.1.4 INDUSTRIAL APPLICATION ............................................................................. 115 6.2 MELT-BLOWING P RO C E SS.......................................................................................... 118 6.2.1 AIR DRAG M O D E L....................................................................................... 122 6.2.2 TURBULENT RECONSTRUCTION ....................................................................... 123 6.2.3 NUMERICAL METHOD AND INVESTIGATION .................................................. 124 6.2.4 INDUSTRIAL E X A M P LE ................................................................................. 126 7 CONCLUSION 135 APPENDICES A OTHER MATERIAL LAWS 139 A.L E LA S TIC ................................................................................................................. 139 A.2 V ISCOELASTIC........................................................................................................ 140 A. 3 THERMAL SIM U LATIO N S ........................................................................................ 140 B MODELING AND REDUCTION OF DIMENSIONS 145 B. L GGL PROJECTION CORRECTION FOR THE KINEMATICS................................................... 145 B.2 TWO-DIMENSIONAL JET M O D EL................................................... 145 B. 3 UNIAXIAL JET MODEL ............................................................................................ 146 C ADAPTIVITY 149 C. L ANALYTICAL EX A M P LE ........................................................................................... 150 C.2 BURGER*S EQ U A TIO N ............................................................................................... 157 C.3 GROWING EULERIAN PARAMETERIZATION WITH LAGRANGE TRACK IN G ......................... 160 C. 4 ROTATIONAL SPINNING P R O C E S S ............................................................................ 161 D NUMERICAL SCHEME AND IMPLEMENTATION 163 D. L DETAILS TO DERIVATION OF THE FINITE VOLUME M E TH O D ...................................... 163 D.2 DETAILS ON THE APPLICATION OF THE JET M O D E L ................................................... 169 NOTATIONS 173 BIBLIOGRAPHY 179
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author	Schießl, Stefan 1986-
author_GND	(DE-588)1147723559
author_corporate	Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
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author_facet	Schießl, Stefan 1986- Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
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discipline	Handwerk und Gewerbe / Verschiedene Technologien Informatik
format	Thesis Book
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spelling	Schießl, Stefan 1986- Verfasser (DE-588)1147723559 aut Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Stefan Schießl Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Stuttgart Fraunhofer Verlag 2017 187 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Friedrich-Alexander-Universität Erlangen-Nürnberg 2017 Simulation (DE-588)4055072-2 gnd rswk-swf Finite-Volumen-Methode (DE-588)4220855-5 gnd rswk-swf Gitterverfeinerung (DE-588)4482690-4 gnd rswk-swf Spinnverfahren (DE-588)4396899-5 gnd rswk-swf PBW PDG Jet spinning processes Time-dependent domains Finite Volume method Staggered grid Transient simulation Mathematische Modellierer Simulationsingenieure Numeriker (DE-588)4113937-9 Hochschulschrift gnd-content Spinnverfahren (DE-588)4396899-5 s Simulation (DE-588)4055072-2 s Gitterverfeinerung (DE-588)4482690-4 s Finite-Volumen-Methode (DE-588)4220855-5 s DE-604 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (DE-588)10126139-1 edt Fraunhofer IRB-Verlag (DE-588)4786605-6 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=06762d7a207544d1a6fb387ecb9a99e9&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030072659&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Schießl, Stefan 1986- Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Simulation (DE-588)4055072-2 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Gitterverfeinerung (DE-588)4482690-4 gnd Spinnverfahren (DE-588)4396899-5 gnd
subject_GND	(DE-588)4055072-2 (DE-588)4220855-5 (DE-588)4482690-4 (DE-588)4396899-5 (DE-588)4113937-9
title	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen
title_alt	Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen
title_auth	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen
title_exact_search	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen
title_full	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Stefan Schießl
title_fullStr	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Stefan Schießl
title_full_unstemmed	Jet and fiber dynamics with high elongations: models, numerical strategies and applications. = Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen Stefan Schießl
title_short	Jet and fiber dynamics with high elongations: models, numerical strategies and applications.
title_sort	jet and fiber dynamics with high elongations models numerical strategies and applications jet und fadendynamik mit hohen dehnungen modelle numerische strategien und anwendungen
title_sub	= Jet- und Fadendynamik mit hohen Dehnungen: Modelle, numerische Strategien und Anwendungen
topic	Simulation (DE-588)4055072-2 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Gitterverfeinerung (DE-588)4482690-4 gnd Spinnverfahren (DE-588)4396899-5 gnd
topic_facet	Simulation Finite-Volumen-Methode Gitterverfeinerung Spinnverfahren Hochschulschrift
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