Availability: Theoretical and numerical aspects of shape optimization with Navier-Stokes flows

Theoretical and numerical aspects of shape optimization with Navier-Stokes flows:

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Bibliographic Details
Main Author:	Lindemann, Florian (Author)
Format:	Thesis/Dissertation Book
Language:	English
Published:	2012
Subjects:	Numerische Strömungssimulation Gestaltoptimierung Navier-Stokes-Gleichung Hochschulschrift
Links:	http://mediatum.ub.tum.de/node?id=1108217 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121107-1108217-1-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025769518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	IX, 165 S. Ill., graph. Darst.

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Record in the Search Index

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adam_text	IMAGE 1 CONTENTS 1 I N T R O D U C T I O N 1 2 N O T A T I O N S , DEFINITIONS, A N D B A S I C T H E O R E M S 4 2.1 NOTATIONS AND DEFINITIONS 4 2.2 BASIC THEOREMS 10 3 S H A P E O P T I M I Z A T I O N W I T H NAVIER-STOKES E Q U A T I O N S 1 3 3.1 SHAPE OPTIMIZATION IN THE ABSTRACT SETTING 13 3.2 SHAPE OPTIMIZATION WITH THE NAVIER-STOKES EQUATIONS 33 3.3 SHAPE DERIVATIVES FOR THE SHAPE OPTIMIZATION PROBLEM WITH NAVIERSTOKES EQUATIONS 47 4 A DIFFERENTIABILITY R E S U L T FOR T H E D E S I G N - T O - S T A T E M A P 6 3 4.1 DIFFERENTIABILITY OF THE STATE EQUATION 63 4.2 FRECHET DIFFERENTIABILITY OF THE STATE WITH RESPECT TO DOMAIN VARIATIONS 70 5 D E S I G N P A R A M E T R I Z A T I O N A N D I M P L E M E N T A T I O N A S P E C T S 1 0 1 5.1 DESIGN PARAMETRIZATION 101 5.2 CONSTRAINTS 106 5.3 TRANSPORT OF BOUNDARY DISPLACEMENTS INTO THE DOMAIN 110 5.4 CALCULATION OF DERIVATIVES WITH RESPECT TO SHAPE PARAMETERS . . . 1 1 0 5.5 DISCRETIZATION OF THE NAVIER-STOKES EQUATIONS 112 5.6 UPDATING THE MESHES 114 6 N U M E R I C A L R E S U L T S 1 1 6 6.1 IMPLEMENTATION ASPECTS AND THIRD PARTY SOFTWARE 116 6.2 THE BENCHMARK PROBLEM 120 6.3 NUMERICAL RESULTS 122 A B O U N D A R Y INTEGRAL R E P R E S E N T A T I O N O F T H E FIRST S H A P E DERIVA T I V E 1 3 8 B S E C O N D DERIVATIVES 1 4 6 B . L SECOND DERIVATIVES OF E 146 B.2 SECOND DERIVATIVES OF J 154 BIBLIOGRAPHY 1 6 0 V HTTP://D-NB.INFO/1033619205
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spellingShingle	Lindemann, Florian Theoretical and numerical aspects of shape optimization with Navier-Stokes flows Numerische Strömungssimulation (DE-588)4690080-9 gnd Gestaltoptimierung (DE-588)4329076-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd
subject_GND	(DE-588)4690080-9 (DE-588)4329076-0 (DE-588)4041456-5 (DE-588)4113937-9
title	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows
title_auth	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows
title_exact_search	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows
title_full	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows Florian Klaus Hellmuth Lindemann
title_fullStr	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows Florian Klaus Hellmuth Lindemann
title_full_unstemmed	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows Florian Klaus Hellmuth Lindemann
title_short	Theoretical and numerical aspects of shape optimization with Navier-Stokes flows
title_sort	theoretical and numerical aspects of shape optimization with navier stokes flows
topic	Numerische Strömungssimulation (DE-588)4690080-9 gnd Gestaltoptimierung (DE-588)4329076-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd
topic_facet	Numerische Strömungssimulation Gestaltoptimierung Navier-Stokes-Gleichung Hochschulschrift
url	http://mediatum.ub.tum.de/node?id=1108217 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121107-1108217-1-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025769518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT lindemannflorian theoreticalandnumericalaspectsofshapeoptimizationwithnavierstokesflows

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