ME 597A Lecture 2: Sensitivity Analysis

By Sanjay Mathur

Purdue University, West Lafayette, IN

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  • Sanjay Mathur (2015), "ME 597A Lecture 2: Sensitivity Analysis," https://nanohub.org/resources/22234.

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Birck Nanotechnology Center, Room 1001, Purdue University, West Lafayette, IN

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  1. uncertainty quantification (UQ)
ME 597A Lecture 2: Sensitivity Analysis
  • Lecture 2: Sensitivity Analysis 1. Lecture 2: Sensitivity Analysi… 0
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  • Why Sensitivity and Adjoints? 2. Why Sensitivity and Adjoints? 52.886219552886224
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  • Approaches 3. Approaches 250.45045045045046
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  • Continuous Approach: Sensitivity Equation 4. Continuous Approach: Sensitivi… 509.24257590924259
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  • Example: Transient Heat Conduction in a 1D Slab 5. Example: Transient Heat Conduc… 573.47347347347352
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  • Sensitivity Equation for Heat Capacity 6. Sensitivity Equation for Heat … 798.33166499833169
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  • Boundary and Initial Conditions 7. Boundary and Initial Condition… 961.62829496162828
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  • Solution Procedure 8. Solution Procedure 1034.6012679346013
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  • Discrete Sensitivity Approaches 9. Discrete Sensitivity Approache… 1323.6236236236236
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  • Finite Difference Method 10. Finite Difference Method 1414.4144144144145
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  • Complex Variables 11. Complex Variables 1707.0070070070071
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  • Code Differentiation 12. Code Differentiation 1901.5348682015349
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  • Simple Example 13. Simple Example 2099.6663329996663
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  • Simple Example (Cont'd) 14. Simple Example (Cont'd) 2235.2352352352354
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  • What Did We Get? 15. What Did We Get? 2552.5525525525527
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  • Conventional C Implementation 16. Conventional C Implementation 2905.2052052052054
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  • Conventional Code Differentiation 17. Conventional Code Differentiat… 2977.9112445779115
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  • Alternative: Let the Compiler Do It! 18. Alternative: Let the Compiler … 3024.8915582248915
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  • C++ Implementation 19. C++ Implementation 3207.5742409075742
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  • Advantages of C++ Approach 20. Advantages of C++ Approach 3339.4728061394731
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  • Sensitivity Analysis of Squeeze Film Damping 21. Sensitivity Analysis of Squeez… 3383.14981648315
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  • Sensitivity Analysis of Film Cooling 22. Sensitivity Analysis of Film C… 3449.4160827494161
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  • Sensitivity of U-Velocity to Hot Gas Inlet Velocity 23. Sensitivity of U-Velocity to H… 3476.8435101768437
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  • Sensitivity of Temperature to Hot Gas Inlet Velocity 24. Sensitivity of Temperature to … 3513.07974641308
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  • Summary 25. Summary 3526.3263263263266
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