ME 697R Lecture 6: Monte Carlo Method

By Xiulin Ruan

Mechanical Engineering, Purdue University, West Lafayette, IN

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Researchers should cite this work as follows:

  • Xiulin Ruan (2019), "ME 697R Lecture 6: Monte Carlo Method," https://nanohub.org/resources/31761.

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2004, Mechanical Engineering, Purdue University, West Lafayette, IN

ME 697R Lecture 6: Monte Carlo Method
  • Lecturer 6: Monte Carlo Simulations 1. Lecturer 6: Monte Carlo Simula… 0
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  • Monte Carlo 2. Monte Carlo 39.10577243910577
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  • Monte Carlo Method: Game of Chance 3. Monte Carlo Method: Game of Ch… 76.109442776109447
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  • Monte Carlo Methods 4. Monte Carlo Methods 171.90523857190524
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  • Example: π 5. Example: π 252.58591925258594
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  • Example: π (cont'd) 6. Example: π (cont'd) 374.00734067400737
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  • Phonon Boltzmann Transport Equation 7. Phonon Boltzmann Transport Equ… 514.3476810143477
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  • Solving BTE with the Monte Carlo Method 8. Solving BTE with the Monte Car… 715.98264931598271
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  • Free flight & Scattering 9. Free flight & Scattering 844.51117784451117
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  • Probability of being scattered after Δt 10. Probability of being scattered… 935.20186853520192
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  • Phonon scattering mechanisms 11. Phonon scattering mechanisms 1137.8378378378379
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  • Flowchart of Monte Carlo 12. Flowchart of Monte Carlo 1311.5115115115116
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  • Initialization 13. Initialization 1625.1918585251919
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  • Number of phonons 14. Number of phonons 1698.7987987987988
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  • Example 1: Ballistic-diffusive transport 15. Example 1: Ballistic-diffusive… 1846.47981314648
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  • Example 2: Transient Heating in Germanium 16. Example 2: Transient Heating i… 2095.4621287954624
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