Computational Fluid Dynamics
| Numbering Code |
G-ENG01 6F011 LE73 G-ENG02 6F011 LE73 |
Year/Term | 2022 ・ Second semester | |
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| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | English | Day/Period | Mon.4 | |
| Instructor name |
USHIJIMA SATORU (Academic Center for Computing and Media Studies Professor) GOTOH HITOSHI (Graduate School of Engineering Professor) KHAYYER ABBAS (Graduate School of Engineering Associate Professor) TORIU DAISUKE (Academic Center for Computing and Media Studies Assistant Professor) |
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| Outline and Purpose of the Course | Computational Fluid Dynamics (CFD) is largely developed with the progress of computer technology in recent years. CFD is powerful and effective to predict the various fluid phenomena, which show the complicated behaviors due to the non-linearity and multi-physics interactions. This course provides the governing equations for compressible and incompressible fluids as well as the discretization and numerical procedures, such as finite difference, finite volume and particle methods. | |||
| Course Goals | Course goal is to understand the basic theory and numerical procedures about CFD. | |||
| Schedule and Contents |
(1) Computational method with FDM and FVM [7 times] : The governing equations are firstly derived for compressible fluids and then they are transformed to incompressible ones on the basis of continuum mechanics and classical laws. The course introduces the MAC algorithm, which is generally used to solve the governing equations of incompressible fluids discretized with the finite difference and finite volume methods (FDM and FVM). The numerical procedures are also discussed for parabolic, hyperbolic and elliptic partial differential equations, in terms of the numerical stability and accuracy, when we use the explicit and implicit discretization methods. In addition, some important topics will be introduced, such as the grid system, the combination of implicit discretization and higher-order schemes, and a method to solve the pressure-velocity field accurately etc. Some recent numerical algorithms for low-Mach-number compressible flows will also be introduced with some computational examples. Homework will be assigned almost every week. (2) Particle method - basic theory and improvements [7 times] : To simulate violent flow with gas-liquid interface which is characterized by fragmentation and coalescence of fluid, particle method shows excellent performance. Firstly, basics of the particle method, namely discretization and algorithm, which is common to SPH (Smoothed Particle Hydrodynamics) and MPS (Moving Particle Semi-implicit) methods, are explained. Particle method is superior in robustness for tracking complicated interface behavior, while it suffers from existence of unphysical fluctuation of pressure. By revisiting the calculation principle of particle method, various improvements have been proposed in recent years. In this lecture, the state-of-the-art of accurate particle method is also described. (3) Feedback [1 time] : Discuss the contents of all classes and assignments. The details will be introduced in the course. |
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| Evaluation Methods and Policy | The final grade will be decided with the homework assignments in both the first 7 times (50%) and the second 7 times (50%). To pass, students must earn at least 60 points out of 100 points (full marks). | |||
| Course Requirements | Basic knowledge of fluid dynamics, continuum mechanics and computational techniques | |||
| Study outside of Class (preparation and review) | It is necessary to understand sufficiently the contents of every class. All homework assignments should be submitted. | |||
| Textbooks | Textbooks/References | No textbook assigned to the course | ||
| References, etc. | Recommended books and papers will be introduced in the course. | |||
| Related URL | ||||
