ANSYS Fluent 17.0 官方教程(高清带目录)

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ANSYS-Fluent-Tutorial-Guide 17.0,官方教程,高清带目录,1236页,Fluent 学习者最好的教程!
Table of contents Using this manua|...,.….,….,..….,.…,……, 1. What's In this manua XV 2. The Contents of the fluent manuals . 3. Where to find the files used in the tutorials ... XVII 4. How To Use this manual . 4.1. For the beginner 中············ 中··+·· 4.2. For the Experienced User…...,.,.,.,…,,…,.,,…,………,……,…yvi 5. Typographical Conventions Used In This Manual 1 Introduction to Using ANSYS Fluent in ANSYS Workbench: Fluid Flow and Heat Transfer in a Mixing E|bOW.…...1 1.1. Introduction 1.2. Prerequisites…………,…,…,…,…,……,……………,… 2 1.3. Problem Description 1.4. Setup and Solution…….…..….…,…..…..…..,.,.,…,…,… :··:··················· . 1. Preparation .... 4 14.2. Creating a Fluent Fluid Flow Analysis System in ANSYS Workbench………….……….…...5 4.3. Creating the Geometry in ANSYS Design Modeler.…,…,……… 4.4. Meshing the Geometry in the ANSYS Meshing Application……….20 4.5. Setting Up the CFD Simulation in ANSYS Fluent.. 27 1.4.5.1. Starting ANSYS Fluent 27 14.52. Setting Up Domain….….…… 29 14.,5.3. Setting Up Physics……….….,….…,……,…,…,…,…,…,…,…,…,………………31 146. Solving… 42 1.4.7. Displaying Results in ANSYS Fluent and CFD-Post 非。着·音·,。自音着音 51 1.4.8. Duplicating the Fluent-Based Fluid Flow Analysis System..........60 14.9. Changing the geometry in ANSYS Design Modeler………………………………………161 1.4.10. Updating the Mesh in the ANsYs Meshing Application 63 1.4.11. Calculating a New Solution in aNSYS Fluent 65 1.4.12. Comparing the Results of Both Systems in CF D-Post………… 67 1.5. Summary………,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,….,,72 2. Parametric Analysis in ANSYS Workbench Using ANSYS Fluent 73 2.1. Introduction 73 2.2. Prerequisites………,…,…,…,…,…,…,…,……,…,…,…,…,…,,…,…,…,…,……,…,,74 2.3. Problem Description 74 2.4. Setup and Solution................... 77 2.4.1. Preparation……….….… 78 2.4.2. Adding Constraints to ANSYS Design Modeler Parameters in ANSYS Workbench 78 2.4.3. Setting Up the CFD Simulation in ANSYS Fluent 87 2.4.3.1. Starting ansys fluent 非非自非着音·非·D。自非非非音非着音非。自·。看D非鲁非自非非音。音非。音非非自非非非·省非。非看 87 24.3.2. Setting Up Domain..…..….…… 89 243.3. Setting Up Physics.,......,,..,,.,,,,…, 89 244. Defining Input Parameters in ANSYS Fluent……,…,…,…,…,…,…,…,……………92 24.5.S0ing…......,.,.,.….,…,….…,……,……….97 2.4.6. Postprocessing and Setting the Output Parameters in ANSYS CFD-Post .....................100 2.4.7. Creating Additional Design Points in ANSYS Workbench............. 112 2.4.8. Postprocessing the new design points in Fd-Post…...…..,…..,.……..…,14 249. Summary…… 120 3. Introduction to Using ANSYS Fluent: Fluid Flow and Heat Transfer in a Mixing Elbow……………121 3. 1. Introduction 121 3.2. Prerequisites………,…,…,…,…,…,…,…,…,…,…,…,,….,121 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 3. 3. Problem Description ···.··:···.··:·.····:··· 121 34. Setup and Solution.…,… 122 34.1. Preparation..........,....,..,…,,…,… 123 34.2. Launching ANSYS Fluent,………………… 123 343. Reading the mesh........………………………126 3.44. Setting Up domain… 131 3.4.5. Setting up physics 133 34.6. Solving……….…….….,….….…..….….,.,….….,.,…..,….,….,.,.,….,….,..….,145 3.4.7. Displaying the Preliminary Solution 155 348. Using the Coupled Solver…,,,,,… ········; ······:···:·:·· 71 3.4.9.Adapting the Mesh 174 3.5. Summary……,…,…,…,…,…,…,…,…,…,…,……,…,,…,190 4. Modeling Periodic Flow and Heat Transfer 191 4.1.introducTion.w.w..w.wwwwwwwww.www.....191 4.2. Prerequisites 191 4.3. Problem Description..........….…,.……192 4.4. Setup and solution 192 4.4.1. Preparation……,…,…,…,…,…,…,…,…,………193 4.4.2.Mesh.……………………………,…………193 4.4.3. General Settings....................... 96 4.4.4. Models ·.·····················:····:·:····:·:····:·:·····:··:········.·.···::·······:····::···:····.:·····:····· 96 4.4,5. Materials ·非非鲁。自非。非。省非。自4自自。着。非自自非D省由。自。自曲自非自非着非自非D 96 4.4.6. Cell zone conditions.………198 4,4.7. Periodic Conditions 199 44.8. Boundary Conditions………….…,,…,.,…,.,…,,…,…,…,.…,….…,………………,199 449 Solution ····:· .++:·.·+·:· 200 4.4.10. Postprocessing 204 4.5. Summary……… 214 4.6. Further Improvements…...........,.,.,,…,…,…,…,…,………215 5. Modeling External Compressible Flow,,,,…,,…,…,,…,… 217 5.1. Introduction.……………1217 52. Prerequisites… 217 5.3 Problem Description 218 5.4. Setup and Solution…….….…,…,….,…, 218 5.4.1. Preparation…,,…,…,,…,…,,…,…,,…,,… 218 5.4.2.MeSh 219 543, Solver 222 5.4.4. Models….. 222 5.4.5. Material 223 5.4.6. Boundary Conditions 225 5.4.7. Operating Conditions ··中 227 5.4.8. Solution∴…………228 5. 4.9. Postprocessing 246 5.5. Summary,…… 非·音非D··,非自。着非··非非 非·非·非自章,·非非··非着·音音·自,非··非着非,自·非非,非非非· 253 5.6. Further Improvements 253 6. Modeling Transient Compressible Flow.….…,….,…,…,…,…,.,….,….….……………………,255 6.1. introductⅰon. 255 6.2. Prerequisites…....,.….….,.….….…..……255 6.3. Problem Description……,…,…,…,…,……,…,…,…,…,…,…,…,……………,…,256 64. Setup and Solution… 256 6.4.1. Preparation 音着音·非·D。。非着音·。 256 6.4.2. Reading and Checking the mesh 257 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 64.3.s0 er and analysis type...…..…...….....,259 6. 4. 4. Models 260 6.4.5. Materials∴261 6.4.6. Operating Conditions∴….….….….….….……….….…… …262 64.7. Boundary Conditions........,…,…,…,,…,…………………,,263 6.4.8. Solution: Steady Flow 265 6.4.9. Enabling Time Dependence and Setting Transient Conditions 279 6.4.10 Specifying Solution Parameters for Transient Flow and Solving………………………,282 6.4.11. Saving and Postprocessing Time-Dependent Data Sets 285 6.5. Summary…………………………………………………………299 6.6. Further Improvements 300 7. Modeling Radiation and Natural Convection....,.,,,……,……,,301 7. 1. Introduction 301 7.2. Prerequisites∴…,…,…,…,…,…,…,,…,…,…,………301 7.3. Problem Description 301 7.4. Setup and Solution 302 74.1. Preparation…… 302 742 Reading and Checking the mesh.......,…………………303 74.3. Solver and Analysis Type∴……………….…….…….… 304 7. 4.4. Models ········:············:··· 305 7.4.5. Defining the materials……,… 308 7.4.6. Operating Conditions...................... 310 7.4.7. Boundary Conditions…………,,…,…,…,…,…,…,…,…,…,…,…,……,…,………310 7.48.Obtainingthesoluion .314 74.9. Postprocessing.……,…,…,…,…,…,…,…,…,…,…,…,…,…,…,…,……,…,…,321 74.10. Comparing the Contour Plots after Varying Radiating Surfaces………………………335 7.4.11. S2S Definition Solution and postprocessing with partial enclosure .................. 347 7.5. Summary……… 351 7.6. Further Improvements......,…,… …351 8. Using the discrete Ordinates Radiation Model 353 8. 1. Introduction 353 8.2. Prerequisites 353 8.3 Problem Description 354 8.4. Setup and Solution ··4··········::·:····4·:····················:·· 354 84.1. Preparation……,…,…,…,…,…,…,…,…,……,……355 8.4.2.Mesh 355 8.4.3. General Settings ..:.···.:· 356 8. 4. Models 358 8. 4.5. Material 359 84.6 Cell Zone conditions wwwwwwwwwwwwwwwwwwwwwwwwww 362 8.4.7. Boundary Conditions. ..........................................................................................................364 8.4.8. Solution∴………………372 8.49. Postprocessing….…,.…...…...… 375 8.4.10. Iterate for higher pixels 383 84.11. Iterate for Higher divisions...,…,…,… 387 8.4.12. Make the reflector Completely diffuse ............................. 393 8.4.13. Change the Boundary Type of Baffle 395 8.5.5 ummary……,96 86. Further Improvements………,…,……,……,…………………396 9. Using a Non-Conformal 397 9.1. Introduction ,397 9.2. Prerequisites 397 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 9.3. Problem Description ···.··:···.··:·.····:··· 398 9.4. Setup and solution 399 9.4.1. Preparation………,…,….,…..,…,…,,…,,…………399 9.4.2.Mesh...……1 400 9.4.3. General Settings......... ··;··················· ∴405 9.4.4. Models∴ 。自非·非非·非··非非非·非。是非非非自·非非·非着·非非·。非·自非 405 9. 4.5. Materials 407 9.4.6.Ce‖! Zone conditions.…,407 9.4.7. Operating Conditions. 409 948. Boundary Conditions……………… .··:·.····:..中·:···::·:·········a··a······ 409 9.4.9. Mesh Interfaces …·····……:·····:··:····=:·· .419 9.4.10. Solution∴ 421 9411. Postprocessing…… 423 ······· 9.5. Summary……,…,…,…,…,…,…,…,…,…,…,…,…,…,…,,…,…,…,,…,,436 9.6. Further Improvements 436 10. Modeling Flow Through Porous Media 437 10.1. Introduction 437 0.2. Prerequisites,……,,…,…,…,…,…,,… ...·.·:···..:·.·:·.:·.a..··· ···D非 437 10.3. Problem Description………,…,…,,…,…,…,,…,…,…,…,…,…,,…,…,…,………………438 10.4. Setup and solution 438 10.4.1. Preparation 439 104.2.MeSh 。非D自非非自。非非自非音自自自d非D非自鲁D。音非。B非自着自非非自非D自曲非。自非自,。。非非非自自非音非,。D非自非非D。自非。自非非非 439 0.4.3. General Settings……….………,,,,…,….,….,,…,…,…,…,…,,…,,…,……,,…,……,.41 10.44 Models ..442 0.4.5. Materials∴,,,,,,,,,42 0.4.6. Cell Zone conditions ..................................................................................444 10.4.7. Boundary Conditions .............................. 447 0.4.8. Solution 449 10.4.9. Postprocessing.…,…,…,…,…,… 454 10.5. Summary 468 10.6. Further Improvement :·····:·········· 非着着非自非。非。自非音非。自。·非 …1468 1. Using a Single Rotating Reference Frame 469 11.1. Introduction ··.··.···············:·:·: 469 11.2. Prerequisites……,,…,…,,…,…,,…,…,…,…,,,…,…,,,…,,469 11.3. Problem Description.................... 470 1.4. Setup and Solution………… ………471 11.4.1. Preparation ∴471 11.4.2.Mesh∴…………………472 11.4.3. General Settings 472 11.44. Models 474 114.5. Materia|s∴ 476 11.4.6. Cell Zone Conditions ·音 476 11.4.7. Boundary Conditions 477 1148.5 plution Using the standard k-E Model.......….….………480 1149 Postprocessing for the Standard k-ε Solution…… 487 114.10. Solution Using the rng k-ε Model.…..…...….….…………………497 11.4.1 1. Postprocessing for the rnG k-E Solution 499 1.5.5 ummary…………,…,…,…,…,…,…,…,…,…,…,…,…,…,…,……,……,….,504 11.6. Further Improvements 504 11.7.Referenceswwwwwwwwwwwwwwwwwwwowwwww..505 12. Using Multiple Reference Frames :·.中·······:···:······:··········.中·:·:·····:····:.··;·····:···:·:·:· 507 121. Introduction 04D 507 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 12.2. Prerequisites…,…,…,…,…,…,…,…,…,…,,…,….508 123. Problem Description…… 508 124. Setup and Solution...................….….……509 12.4.1. Preparation 509 12.4.2. Reading and Checking the mesh and Setting the Units..... 510 12. 4.3. Specifying Solver and Analysis Type 512 12. 4.4. Specifying the Models 着音D自音自音曲垂自t音非音 非着自非音省。。al自曲自自自非自自t非自自非自自自。自虚。d鲁音非自自d 512 124.5. Specifying Materials………………,………,…,……………………513 12.4.6. Specifying Cell Zone Conditions 514 24.7. Setting Boundary( onditions……………,……,…,…,……,…………,………………………516 2.4.8.Defining Mesh Interfaces.......... 518 2.4.9. Obtaining the solution 519 24.10.Step9: Postprocessing…… 524 ······· 12.5. Summary……,…,,…,,,…, 531 12.6. Further Improvements 531 13. Using the mixing Plane Model 着·非·非非 ………533 13.1. Introduction 533 13.2. Prerequisites……,,…,…,…,, ...·.·:···..:·.·:·.:·.a..··· ··鲁·D 533 13.3. Problem Description………,……,…,…,…,…,…,…,…,…,……,……,…,…………….533 134. Setup and Solution...............,….…..………534 13. 4.1. Preparation 534 134.2.Mesh…535 13.4.3. General Settings…………,…,…,,,…, 535 3.4,4 Models 538 13.45. Mixing Plane∴………….………………,,…,,…,…,……,…,,,…539 13.4.6. Materials 541 13.4.7.Cel! Zone conditions∴……………….542 3.4.8. Boundary Conditions... 545 13.4.9. Solution∴.……54 135.5 ummary……………………",…… 13.4.10 Postprocessing 563 ··········:····:·:·····················:··::···:······:···4··········· 571 13.6. Further Improvements 571 14. Using Sliding Meshes.... 573 14.1. Introduction.……573 14.2. Prerequisites…,…,…,…,…,…,…,…,…,…,,… 573 14.3. Problem Description... 573 14. 4. Setup and Solution ............... 574 144.1. Preparation…….….….….….….….,….,,…,,…,….,….…,….….….,,………574 144.2.Mesh 575 14.4.3. General Settings 575 1444. Models .··+·.·+·.+·.+4···+·4··+···+···· 4非。非 .579 1445. Materials 579 4.4.6.Ce‖ Zone conditions∴ 580 1447. Boundary Conditions…....,…,,…,,……,……,1583 144.8. Operating Conditions……,…,,,,…, ∴588 14.4.9.meshInterfaces.wwww.mww.wowwwww..w......589 14,4.10.So|utⅰon 590 144.11. Postprocessing…… 音着·D··非。··着音着。音着非非非非非非自非非非·‖。·非。着音非音着·非非。·d 春鲁非着非···非非·。···非。· 608 145. Summary…………………………616 146. Further Improvement….,.…,…,…,……………617 15. Using Dynamic Meshes 619 15.1. Introduction 04D 619 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 15.2. Prerequisites….....,.,.,,…,,,,,…,,…,……………,619 15.3. Problem Description 620 154. Setup and Solution…......….…620 15.4.1. Preparation 620 154.2.Mesh ········:··················4·:·····:·······:··················;····:········4·····4·:····:·· 621 154.3. Genera| Settings………,…,…,,…,… 621 15.44. Models 624 15.4.5. Materials∴……625 15.4.6. Boundary Conditions.......... 625 15.4.7. Solution Steady flow 5.4.8.Time-Dependent Solution Setup..... · .632 15.49.meshmotion...wwwwwwwwwwww.632 5.4.10.Time-Dependent Solution ················,··市·············,·市········ 639 54.1. Postprocessing…………,………,…,……………………,649 15.5. Summary……,…,…,,,,,,,,…,,,, 653 15.6. Further Improvements..... 灬653 16. Modeling Species Transport and Gaseous Combustion……,,… 655 16.1. ntroduction.……….655 16.2. Prerequisites……………………………………….655 16.3. Problem Description 164. Background……,…,…,…,…,…,…,…,……………,…………………656 16.5. Setup and Solution................ 曲。自省自b·着l。鲁非自着音D鲁自自番自鲁非自自非自自着自自鲁自自 656 16.5.1. Preparation…,…,…,…,…,…,…,…,…,…,…,………,……………,656 6.5.2. Mesh 657 1653. General Settings......,.,.,,,….,….,…,……,…,………,………,657 16.5.4. Models 661 16.5.5. Materia|s∴ 664 6.5.6. Boundary Conditions 667 6.5.7. Initial Reaction Solution∴.….673 16.58. Postprocessing……… 679 16.59.N○ x Prediction….689 16.6. Summary… 703 16.7. Further Improvements.......................... 704 17. Using the Non- Premixed combustion Model….…,…,…,…,…,…,…,…,…………,705 17.1. Introduction 705 17.2. Prerequisites……………….,.,,,……, 705 17.3. Problem Description 706 174. Setup and Solution…………,…,…,…,…,…,…,…,,…,…,…,,,…,,,707 17.4.1. Preparation......... 707 174.2. Reading and Checking the mesh…….…..…..,.,….,,…,…,.….……,.170 17.4.3. Specifying Solver and Analysis Type .................712 1744. Specifying the models.................….,!713 74.5. Defining Materials and Properties…...… .720 174.6. Specifying boundary Conditions…..,.,,…,,…,721 174.7. Specifying Operating Conditions……..……,…,…,,…,…,,… 729 174.8. Obtaining Solution................……………,729 17.4.9. Postprocessing 733 174.10. Energy balances Reporting..,,,…,,…,…,……,…,……………,736 17.5. Summary………… ······:···:······:················:·····:··:·:···::·:····:·.··:·····:········:····:··:·:··:·:· 738 17.6. References∴738 17.7. Further Improvements…,,…,…,…,…,…,…,…,…,…,…,…,…,…,739 18. Modeling Surface Chemistry........... 741 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 18.1. Introduction∴…41741 18.2. Prerequisites… 741 18.3. Problem Description 742 18.4. Setup and Solution ·········.···.·:······:······· 743 8.4.1. Preparation .······:·;············ ,743 18.4.2. Reading and Checking the Mesh………… 744 18.4.3. Solver and analysis Type...............................................746 18.44. Specifying the Models……….….….….….….….….……….….…………,1747 18.4.5. Defining Materials and Properties .. 748 18.4.6. Specifying boundary Conditions……..….….….…..…..….….1759 18.4.7. Setting the Operating Conditions 765 1848. Simulating Non-Reacting flow….......…...,….,…….……………,766 18.4.9. Simulating Reacting Flow 768 ·········,···········中 184.10. Postprocessing the Solution Results......,.,….….,…,…,…,……775 18.5. Summary,,,…,…,,,……, 782 186. Further Improvement5........,..,….…..…,…,…………782 19. Modeling Evaporating Liquid Spray…… 783 19.1. Introduction ...............................................................................................................................783 19.2. Prerequisites………………………………783 193. Problem Description......................…….183 194. Setup and Solution……………………… 784 9.4.1. Preparation……...…...……...………,…,…,……,……….784 194.2.Mesh,785 19.43 Solver ..789 19.4.4. Models ····鲁非·音·着非D··非·自非非看非非非· 789 19.45 Materials 792 19.4.6. Boundary Conditions ··:·.······.··:· 794 19.4.7. Initial Solution Without Droplets 799 194.8. Creating a Spray Injection……,,,,…,, ··:·····:···· 809 19,4.9 Solution 817 194.10. Postprocessing……,…,…,…,…,…,…,…………,.822 19.5. Summary 834 19.6. Further Improvements.......... 834 20. Using the VOF Model………,…,…,…,…,…,…,…,…,…,…,……,,……,…………837 20.1. Introduction 837 20.2. Prerequisites..........,.................... 837 20.3. Problem Description ∴838 20.4. Setup and Solution………,…,…,…,…,…,,,…,,,,…,…,…,839 20.4.1. Preparation...... 839 20.4.2. Reading and Manipulating the mesh……….….…,……………………,…840 20.4.3. General settings. ................................................................................................................845 20,4.4 Models ∴…847 20.4.5. Materials∴ 848 20.4.6. Phases….850 20.4.7. Operating Conditions.……,…,…,…,…,…, 灬853 20.4.8. User-Defined Function 20.4.9. Boundary Conditions…… 854 20.4.10. Solution….…,…………,………,……… 着看。·非 857 20.4.11. Postprocessing…………………………………………….,864 20.5. Summary…………,…,…,…,…,…,…,…,…,…,…,…,…,…,………,….,870 20.6. Further Improvements ········ 870 21. Modeling Cavitation 871 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates Tutorial guide 21.1. Introduction..…………871 1. 2. Prerequisites 871 21.3. Problem Description 871 21.4. Setup and solution.……,…,… ·········.···.·:······:······· ∴872 21.4.1. Preparation……,,…,…,…,,…,,…,,…,…,,……,…,2872 21.4.2 Reading and Checking the Mesh……… 873 2143. Solver Settings… 875 21.4.4. Models ∴876 21.4.5. Materials .878 21. 4.6.Phases 881 21.4.7. Boundary Conditions 884 214.. Operating Conditions.,….,…,……,…,…,,…,………,……………889 214.9. Solutⅰon. 889 ············· 214.10. Postprocessing…………,…,…,…,…,…,…,…,…,…,…,…,…,………894 21.5. Summary……,,,,,, 899 21.6. Further Improvements.................... 900 22. Using the Mixture and Eulerian Multiphase Models ∴901 22.1. Introduction .. 22.2. Prerequisites……,……,…,……….,901 22.3. Problem Description....,................... 902 22.4. Setup and solution 902 224.1. Preparation...,….,… 903 22.4.2.Mesh …··········:·················:·····:··· 903 22.4.3. General Settings 904 22. 44. Models 非·音非D··,非自非。着非··非非 906 22.4.5. Materials 908 22.4.6. Phase5, ·············:·······4····:·.····················:· 909 22.4.7.Boundary Conditions 912 22.4.8. Operating Conditions......................... ········; 915 22.4.9. Solution Using the mixture Model 916 224.10. Postprocessing for the mixture Solution……….,,…,…………………920 22.4.1 1 Higher Order Solution using the Mixture Model 924 22.4.12. Setup and Solution for the eulerian Model................................926 224.13. Postprocessing for the Eulerian Model…….…………………………………930 22.5.5 summary……….…,….,…,….,…,…,,…,….,…,,…,…,…,…,…,…,…,………………933 22.6. Further Improvements 934 23. Using the Eulerian Multiphase Model for Granular Flow......................935 23.1. Introduction .. 23.2. Prerequisites 935 233. Problem Description……,…,…,…,…,,…,,…,…,…,…,…,…,……………936 23.4.Setup and Solution . 936 23.4.1. Preparation………,, 936 23.4.2.Mesh 937 23.4.3. General Settings 938 23, 4.4 Models .··:······· 945 23.4.5. Materials∴946 23.4.6. Phases∴ ·····.··. 948 23.47.User- Defined function(UDF)………951 23. 4. 8. Cell Zone conditions 952 234.9 Solution 955 23.4.10. Postprocessing……,…,…,…,…,…,…,…,…,…,…,,………,…,969 23.5. Summary… 看音着·D音音d音自 973 Release 17.0-O SAS /P Inc. All rights reserved. -Contains proprietary and confidential information of ansys inc and its subsidiaries and affiliates

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