| Course title | |||||
| 流体力学特論Ⅰ [Advanced Fluid Mechanics I] | |||||
| Course category | courses for master's programs | Requirement | Credit | 2 | |
| Department | Year | ～ | Semester | 1st | |
| Course type | 1st | Course code | 1060303 | ||
| Instructor(s) | |||||
| 亀田 正治 [KAMEDA Masaharu] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
|
(1) Measurement Uncertainty There are various "error factors" in the process of measuring physical quantities. Based on the "measurement uncertainty" (Maruzen) summarized by the American Society of Mechanical Engineers, we learn the means to quantitatively evaluate these errors. (2) Computational Fluid Dynamics (CFD) Learn the fundamental equation, the solution of the linear equation differential equation, the foundation of the difference method, and the actual of the compressive flow CFD with the numerical analysis of compressive flow (wave). |
| Expected Learning |
|
The two points are expected to (1) Did you handle the means to estimate "measurement uncertainty"? (2) Do you understand the numerical method of partial differential equations by "finite difference method", especially the stability, coordinate transformation, discretization, and typical numerical schemes? |
| Course schedule |
|
Week 1 Orientation Week 2 1-1 Uncertainty of measurement and uncertainty, basic performance of measuring equipment (resolution, sensitivity, measurement range, accuracy, precision) Week 3 1-2 Uncertainty analysis (1) Evaluation of variation of single measured quantity based on statistical theory, propagation of error Week 4 1-2 Uncertainty analysis (2) Analysis method based on the American Institute of Mechanical Engineer's Contract "Measurement Uncertainty' Week 5 1-2 Uncertainty Analysis (3) Analysis method based on the American Institute of Mechanical Engineer's Contract "Measurement Uncertainty" Week 6 1-2 Uncertainty analysis (4) Analysis method based on the American Institute of Mechanical Engineering Contract "Measurement Uncertainty" Uncertainty of measured physical quantity is indispensable for planning, implementation and evaluation of experiment. By knowing the uncertainty of data correctly, for the first time, it can be used effectively for engineering applications (comparison with theoretical formula, derivation of empirical formula, etc.). Week 7 2-1 Basic Equations of Fluid Dynamics: Control volume, force acting on fluid, mass, momentum and energy conservation law, equation of state Week 8 2-2 Linear Wave: Wave Equation (Sonic), D'Alembert's Solution, Wave Damping and Dispersion Week 9 3-1 Basics of Finite Difference Approximation: Difference Approximation, Central Difference and One Side Difference, Explicit and Implicit Method, Stability of Differential Approximation Week 10 3-2 Finite Difference Method for Linear Partial Differential Equation: Diffusion Equation, Advection Equation Week 11 4-1 Euler Equations: Nature and characteristic curve of one-dimensional Euler equation Week 12 4-2 Numerical method for Euler equations: Numerical flux, Flux Difference Splitting method, higher order precision of spatial difference term Computational fluid dynamics (Computational Fluid Dyanmics) is the third research approach following theoretical fluid dynamics, experimental hydrodynamics. It has developed rapidly in the last 30 years, and the foundation has been settled almost to the present. In this lecture, with the goal of familiarizing CFD, we will outline from basic to practical contents. Week 13 preparatory day Week 14 preparatory day Week 15 End-term exam |
| Prerequisites |
| It is necessary to understand to some extent undergraduate level of the lecture at the Department of Mechanical Systems Engineering (Fluid Dynamics, Thermodynamics, Aerodynamics, Mathematics in Physics, and Computer Programming) |
| Required Text(s) and Materials |
| Handout provided via Moodle |
| References |
|
The American Institute of Society "Measurement uncertainty" (Maruzen); Alexandrou, Principles of Fluid Mechanics (Prentice-Hall); Holman, Experimental Methods for Engineers (7th ed) (McGraw-Hill); Tetsuya Kawamura "Differential solution of partial differential equations" (The University of Tokyo Press) Kozo Fujii "Numerical Calculation Method of Fluid Dynamics" (The University of Tokyo Press) |
| Assessment/Grading |
|
Homeworks (50%), End-term exam (50%). You must make a report for homeworks by yourself. If it is judged to be a copy, it will be 0 point even if submitted. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/23/2021 5:12:24 PM |