Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Köln
2006
|
| Series: | Forschungsbericht / Deutsches Zentrum für Luft- und Raumfahrt
2006,11 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Univ. of Manchester, Diss., 2006 |
| Physical Description: | 154 S. Ill., graph. Darst. 21 cm |
Staff View
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Record in the Search Index
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| adam_text | FORSCHUNGSBERICHT 2006-11 EFFICIENCY IMPROVEMENTS OF RANS-BASED ANALYSIS
AND OPTIMIZATION USING IMPLICIT AND ADJOINT METHODS ON UNSTRUCTURED
GRIDS RICHARD P. DWIGHT DEUTSCHES ZENTRUM FUR LUFT- UND RAUMFAHRT
INSTITUT FUR AERODYNAMIK UND STROMUNGSTECHNIK BRAUNSCHWEIG 154 SEITEN 48
BILDER 16TABELLEN 108 LITERATURSTELLEN ULB DARMSTADT I III HIM 16338036
DEUTSCHES ZENTRUM DLR FIIR LUFT- UND RAUMFAHRT E.V. IN DER
HELMHOLTZ-GEMEINSCHAFT CONTENTS 1 INTRODUCTION 5 1.1 IMPLICIT TIME
STEPPING METHODS 6 1.1.1 LITERATURE REVIEW 8 1.1.2 OVERVIEW 9 1.2 THE
ADJOINT METHOD OF FLOW SENSITIVITIES 10 2 DISCRETIZATION AND JACOBIANS
13 2.1 INTRODUCTION 13 2.2 THE NAVIER-STOKES EQUATIONS 14 2.2.1 THE
INSTANTANEOUS EQUATIONS 14 2.2.2 THE FAVRE AVERAGED EQUATIONS 16 2.3
FLOW REGIME 17 2.4 FINITE VOLUME DISCRETIZATION 18 2.5 CONSTRUCTION OF
THE; JACOHIAN 20 2.6 CENTRAL COOVECTIVE FLUXES 22 2.0.1 SCALAR
DISSIPATION FOR THE CENTRAL SCHEME 22 2.G.2 .LACOBIAN OF DISSIPATION
UNDER A CONSTANT COEFFICIENT APPROXIMATION 25 2.0.3 FULL JACOHIAN OF
SCALAR DISSIPATION 26 2.7 GRADIENT APPROXIMATION 28 2.7.1 GREEN-GAUSS
.LACOBIAN 29 2.8 VISCOUS FLUX MODELLING 29 2.8.1 TSL VISCOUS FLUX
DERIVATIVES 30 2.9 SOLID WALL BOUNDARY CONDITIONS 31 2.9.1 SH WALL 31
2.9.2 SLIP-WALL JAEOBIANS 31 2.9.3 NO-SLIP WALL 31 2.9.4 NO-SLIP WALL
JACOBIANS 32 2.10 PERMEABLE BOUNDARY CONDITIONS 33 2.10.1 SUBSONIC
OUTFLOW CONDITION 35 DLR-FB 2006-11 EFFICIENCY OF RANS ANALYSIS AND
OPTIMIZATION 2.11 TURBULENCE MODEL DISCRETIZATION 35 2.11.1 EXPRESSION
FOR THE EDDY-VISCOSITY 36 2.11.2 CONVECTIVE FLUXES 36 2.11.3 DIFFUSION
FLUXES 37 2.11.4 SPALART-ALLMARAS SOURCE TERMS 37 2.11.5
SPALART-ALLMARAS-EDWARDS SOURCE TERMS 38 2.11.6 BOUNDARY CONDITIONS 39
2.12 SUMMARY 39 3 APPROXIMATELY FACTORED IMPLICIT SCHEMES 41 3.1
INTRODUCTION 41 3.2 DESCRIPTION OF THE SCHEME 42 3.2.1 SYMMETRIC
GAUSS-SEIDEL (SGS) SOLUTION 43 3.2.2 INVISCID FLUX JACOBIANS 45 3.2.3
VISCOUS FLUX JACOBIANS 46 3.2.4 TURBULENCE JACOHIANS 47 3.2.5 DUAL-TIME
TREATMENT 49 3.3 ANALYSIS OF THE SCHEME 50 3.3.1 THEORETICAL STABILITY
CONDITIONS FOR FIXED-POINT ITERATIONS 51 3.3.2 VON NEUMANN ANALYSIS OF
THE SCHEME 58 3.3.3 TIME-ACCURACY OF THE SCHEME 68 3.4 NUMERICAL RESULTS
71 3.4.1 APPROXIMATIONS OF THE .LACOBIAN 72 3.4.2 INFLUENCE OF LINEAR
SOLVER 73 3.4.3 INFLUENCE OF VISCOUS FLUX APPROXIMATION 77 3.4.4
INFLUENCE OF POINT ORDERING 79 3.4.5 PARALLEL EFFICIENCY 79 3.4.6
GENERIC DELTA-WING 80 3.4.7 WING-BODY-TAIL CONFIGURATION 83 3.5 SUMMARY
84 4 UNFACTORED IMPLICIT SCHEMES 87 4.1 INTRODUCTION 87 4.1.1 OVERVIEW
89 4.2 CONSTRUCTION OF THE EXACT JACOBIAN 90 4.3 SOLUTION OF THE LINEAR
SYSTEM 92 4.3.1 APPLICATION OF EXISTING NON-LINEAR ITERATION 92 4.3.2
APPLICATION OF PRECONDITIONED GMR.ES 94 R.P. DWIGHT 4.4 EXAMPLE OF AN
EXACT NEWTON METHOD 98 4.5 APPROXIMATE NEWTON METHODS 99 4.5.1 LST-ORDER
.LACOBIAN KRYLOV IMPLICIT METHOD (FOKI) 100 4.5.2 ALTERNATIVE LST-ORDER
IMPLICIT METHOD (FOGSI) 103 4.5.3 NUMERICAL COMPARISON OF LU-SGS, FOKI
AND FOGSI 105 4.6 SUMMARY 109 5 THE DISCRETE ADJOINT EQUATIONS 111 5.1
INTRODUCTION ILL 5.1.1 OVERVIEW 113 5.2 AERODYNAMIC DESIGN PROBLEM 113
5.2.1 DETAILS OF THE DISCRETIZATION 114 5.3 GRADIENTS VIA DISCRETE
ADJOINT 114 5.3.1 PRIMAL APPROACH 114 5.3.2 ADJOINT APPROACH 114 5.3.3
ADJOINT OF THE GRID DEFORMATION 115 5.3.4 IMPLEMENTATION OF THE METHOD
116 5.4 APPROXIMATIONS OF THE DISCRETE ADJOINT 117 5.4.1 LST-ORDER
APPROXIMATION (FOA) 117 5.4.2 THIN SHEAR-LAYER (TSL) ASSUMPTION 117
5.4.3 CONSTANT JST COEFFICIENTS APPROXIMATION (CCA) 118 5.4.4 CONSTANT,
EDDY-VISCOSITY (CEV) ASSUMPTION 118 5.4.5 USE OF AN ALTERNATIVE
TURBULENCE MODEL (ATM) 119 5.5 RESULTS AND DISCUSSION 119 5.5.1
TRANSONIC RAE2822 AEROFOIL 120 5.5.2 THREE-ELEMENT HIGH-LIFT
CONFIGURATION 128 5.6 CONCLUSIONS 131 6 CONCLUSIONS 135 6.1 FURTHER WORK
137 A CHANGE OF VARIABLES 139 A.I PRIMITIVE VARIABLES 139 A.2
ALTERNATIVE PRIMITIVE VARIABLES 140 A.3 ENTROPY VARIABLES 141 A.4
SYMMETRIZING VARIABLES 143 A.5 PARABOLIC SYMMETRIZING VARIABLES 144
DLR-FB 2006-11
|
| adam_txt |
FORSCHUNGSBERICHT 2006-11 EFFICIENCY IMPROVEMENTS OF RANS-BASED ANALYSIS
AND OPTIMIZATION USING IMPLICIT AND ADJOINT METHODS ON UNSTRUCTURED
GRIDS RICHARD P. DWIGHT DEUTSCHES ZENTRUM FUR LUFT- UND RAUMFAHRT
INSTITUT FUR AERODYNAMIK UND STROMUNGSTECHNIK BRAUNSCHWEIG 154 SEITEN 48
BILDER 16TABELLEN 108 LITERATURSTELLEN ULB DARMSTADT I III HIM 16338036
DEUTSCHES ZENTRUM DLR FIIR LUFT- UND RAUMFAHRT E.V. IN DER
HELMHOLTZ-GEMEINSCHAFT CONTENTS 1 INTRODUCTION 5 1.1 IMPLICIT TIME
STEPPING METHODS 6 1.1.1 LITERATURE REVIEW 8 1.1.2 OVERVIEW 9 1.2 THE
ADJOINT METHOD OF FLOW SENSITIVITIES 10 2 DISCRETIZATION AND JACOBIANS
13 2.1 INTRODUCTION 13 2.2 THE NAVIER-STOKES EQUATIONS 14 2.2.1 THE
INSTANTANEOUS EQUATIONS 14 2.2.2 THE FAVRE AVERAGED EQUATIONS 16 2.3
FLOW REGIME 17 2.4 FINITE VOLUME DISCRETIZATION 18 2.5 CONSTRUCTION OF
THE; JACOHIAN 20 2.6 CENTRAL COOVECTIVE FLUXES 22 2.0.1 SCALAR
DISSIPATION FOR THE CENTRAL SCHEME 22 2.G.2 .LACOBIAN OF DISSIPATION
UNDER A CONSTANT COEFFICIENT APPROXIMATION 25 2.0.3 FULL JACOHIAN OF
SCALAR DISSIPATION 26 2.7 GRADIENT APPROXIMATION 28 2.7.1 GREEN-GAUSS
.LACOBIAN 29 2.8 VISCOUS FLUX MODELLING 29 2.8.1 TSL VISCOUS FLUX
DERIVATIVES 30 2.9 SOLID WALL BOUNDARY CONDITIONS 31 2.9.1 SH WALL 31
2.9.2 SLIP-WALL JAEOBIANS 31 2.9.3 NO-SLIP WALL 31 2.9.4 NO-SLIP WALL
JACOBIANS 32 2.10 PERMEABLE BOUNDARY CONDITIONS 33 2.10.1 SUBSONIC
OUTFLOW CONDITION 35 DLR-FB 2006-11 EFFICIENCY OF RANS ANALYSIS AND
OPTIMIZATION 2.11 TURBULENCE MODEL DISCRETIZATION 35 2.11.1 EXPRESSION
FOR THE EDDY-VISCOSITY 36 2.11.2 CONVECTIVE FLUXES 36 2.11.3 DIFFUSION
FLUXES 37 2.11.4 SPALART-ALLMARAS SOURCE TERMS 37 2.11.5
SPALART-ALLMARAS-EDWARDS SOURCE TERMS 38 2.11.6 BOUNDARY CONDITIONS 39
2.12 SUMMARY 39 3 APPROXIMATELY FACTORED IMPLICIT SCHEMES 41 3.1
INTRODUCTION 41 3.2 DESCRIPTION OF THE SCHEME 42 3.2.1 SYMMETRIC
GAUSS-SEIDEL (SGS) SOLUTION 43 3.2.2 INVISCID FLUX JACOBIANS 45 3.2.3
VISCOUS FLUX JACOBIANS 46 3.2.4 TURBULENCE JACOHIANS 47 3.2.5 DUAL-TIME
TREATMENT 49 3.3 ANALYSIS OF THE SCHEME 50 3.3.1 THEORETICAL STABILITY
CONDITIONS FOR FIXED-POINT ITERATIONS 51 3.3.2 VON NEUMANN ANALYSIS OF
THE SCHEME 58 3.3.3 TIME-ACCURACY OF THE SCHEME 68 3.4 NUMERICAL RESULTS
71 3.4.1 APPROXIMATIONS OF THE .LACOBIAN 72 3.4.2 INFLUENCE OF LINEAR
SOLVER 73 3.4.3 INFLUENCE OF VISCOUS FLUX APPROXIMATION 77 3.4.4
INFLUENCE OF POINT ORDERING 79 3.4.5 PARALLEL EFFICIENCY 79 3.4.6
GENERIC DELTA-WING 80 3.4.7 WING-BODY-TAIL CONFIGURATION 83 3.5 SUMMARY
84 4 UNFACTORED IMPLICIT SCHEMES 87 4.1 INTRODUCTION 87 4.1.1 OVERVIEW
89 4.2 CONSTRUCTION OF THE EXACT JACOBIAN 90 4.3 SOLUTION OF THE LINEAR
SYSTEM 92 4.3.1 APPLICATION OF EXISTING NON-LINEAR ITERATION 92 4.3.2
APPLICATION OF PRECONDITIONED GMR.ES 94 R.P. DWIGHT 4.4 EXAMPLE OF AN
EXACT NEWTON METHOD 98 4.5 APPROXIMATE NEWTON METHODS 99 4.5.1 LST-ORDER
.LACOBIAN KRYLOV IMPLICIT METHOD (FOKI) 100 4.5.2 ALTERNATIVE LST-ORDER
IMPLICIT METHOD (FOGSI) 103 4.5.3 NUMERICAL COMPARISON OF LU-SGS, FOKI
AND FOGSI 105 4.6 SUMMARY 109 5 THE DISCRETE ADJOINT EQUATIONS 111 5.1
INTRODUCTION ILL 5.1.1 OVERVIEW 113 5.2 AERODYNAMIC DESIGN PROBLEM 113
5.2.1 DETAILS OF THE DISCRETIZATION 114 5.3 GRADIENTS VIA DISCRETE
ADJOINT 114 5.3.1 PRIMAL APPROACH 114 5.3.2 ADJOINT APPROACH 114 5.3.3
ADJOINT OF THE GRID DEFORMATION 115 5.3.4 IMPLEMENTATION OF THE METHOD
116 5.4 APPROXIMATIONS OF THE DISCRETE ADJOINT 117 5.4.1 LST-ORDER
APPROXIMATION (FOA) 117 5.4.2 THIN SHEAR-LAYER (TSL) ASSUMPTION 117
5.4.3 CONSTANT JST COEFFICIENTS APPROXIMATION (CCA) 118 5.4.4 CONSTANT,
EDDY-VISCOSITY (CEV) ASSUMPTION 118 5.4.5 USE OF AN ALTERNATIVE
TURBULENCE MODEL (ATM) 119 5.5 RESULTS AND DISCUSSION 119 5.5.1
TRANSONIC RAE2822 AEROFOIL 120 5.5.2 THREE-ELEMENT HIGH-LIFT
CONFIGURATION 128 5.6 CONCLUSIONS 131 6 CONCLUSIONS 135 6.1 FURTHER WORK
137 A CHANGE OF VARIABLES 139 A.I PRIMITIVE VARIABLES 139 A.2
ALTERNATIVE PRIMITIVE VARIABLES 140 A.3 ENTROPY VARIABLES 141 A.4
SYMMETRIZING VARIABLES 143 A.5 PARABOLIC SYMMETRIZING VARIABLES 144
DLR-FB 2006-11 |
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| id | DE-604.BV022165896 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:19:28Z |
| indexdate | 2024-07-09T20:51:41Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015380587 |
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| physical | 154 S. Ill., graph. Darst. 21 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
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| series2 | Forschungsbericht / Deutsches Zentrum für Luft- und Raumfahrt |
| spelling | Dwight, Richard P. Verfasser aut Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids Richard P. Dwight Köln 2006 154 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Forschungsbericht / Deutsches Zentrum für Luft- und Raumfahrt 2006,11 Zugl.: Univ. of Manchester, Diss., 2006 Reynoldssche Gleichung (DE-588)4261715-7 gnd rswk-swf Finite-Volumen-Methode (DE-588)4220855-5 gnd rswk-swf Unstrukturiertes Gitter (DE-588)4470596-7 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Finite-Volumen-Methode (DE-588)4220855-5 s Unstrukturiertes Gitter (DE-588)4470596-7 s Numerische Strömungssimulation (DE-588)4690080-9 s Reynoldssche Gleichung (DE-588)4261715-7 s Approximation (DE-588)4002498-2 s DE-604 Deutsches Zentrum für Luft- und Raumfahrt Forschungsbericht 2006,11 (DE-604)BV011758990 2006,11 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015380587&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dwight, Richard P. Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids Reynoldssche Gleichung (DE-588)4261715-7 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Unstrukturiertes Gitter (DE-588)4470596-7 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Approximation (DE-588)4002498-2 gnd |
| subject_GND | (DE-588)4261715-7 (DE-588)4220855-5 (DE-588)4470596-7 (DE-588)4690080-9 (DE-588)4002498-2 |
| title | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids |
| title_auth | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids |
| title_exact_search | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids |
| title_exact_search_txtP | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids |
| title_full | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids Richard P. Dwight |
| title_fullStr | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids Richard P. Dwight |
| title_full_unstemmed | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids Richard P. Dwight |
| title_short | Efficiency improvements of RANS-based analysis and optimization using implicit and adjoint methods on unstructured grids |
| title_sort | efficiency improvements of rans based analysis and optimization using implicit and adjoint methods on unstructured grids |
| topic | Reynoldssche Gleichung (DE-588)4261715-7 gnd Finite-Volumen-Methode (DE-588)4220855-5 gnd Unstrukturiertes Gitter (DE-588)4470596-7 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Approximation (DE-588)4002498-2 gnd |
| topic_facet | Reynoldssche Gleichung Finite-Volumen-Methode Unstrukturiertes Gitter Numerische Strömungssimulation Approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015380587&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011758990 |
| work_keys_str_mv | AT dwightrichardp efficiencyimprovementsofransbasedanalysisandoptimizationusingimplicitandadjointmethodsonunstructuredgrids |