Course Title : Computational Mechanics and Simulation

Code 10K008
Course Year Master and Doctor Course
Term 1st term
Class day & Period Tue 2nd
Location C1-173
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture and Exercises
Language English
Instructor Murata, Furukawa, Flores, Liang

Course Description

The process to obtain numerical solutions for various problems in computational mechanics. Discretization and some solving technique for initial/boundary value problems is to be introduced by the FEM. Statistical mechanics, molecular dynamics, Monte Carlo method and Multiple scale model will be shortly introduced in order to understand the basic theory of molecular dynamics simulation. Their applications to engineering problems are to be also given by showing some up-to-date examples. Theory of the distinct element method (DEM) will be lectured, and its application in the engineering field will also be explained. Study of contaminant migration in subsurface via groundwater flow modelling coupled with advective-dispersive solute transport. The general groundwater flow and chemical transport in porous media are introduced, then the governing equations for advective-dispersive chemical transport, and the analytical solution of the governing equations are explained. This course will be given in English.

Grading

Achievement is evaluated by submitted reports to each topic.

Course Goals

Course Topics

Theme Class number of times Description
Homogenization technique and FEM 3 Homogenization method with FEM will be lectured in this item. It is used for obtaining the equivalent homogenized material constants of an anisotropic composite material to be analyzed. The method to obtain homogenized elastic coefficient tensor will be especially focused on.
Molecular dynamics simulation 4 Statistical mechanics, molecular dynamics, Monte Carlo method and Multiple scale model will be shortly introduced in order to understand the basic theory of molecular dynamics simulation. Their application to engineering problems are to be also given by showing some up-to-date examples.
Distinct element method and its application 4 Theory of the distinct element method (DEM) will be lectured in this item. The DEM is the numerical analysis method for discontinuum. The application of the DEM in the engineering field will also be explained.
Migration of Contaminants in Subsurface 3 Study of contaminant migration in subsurface via groundwater flow modelling coupled with advective-dispersive solute transport. In this section, we will first introduce the general groundwater flow and chemical transport in porous media, then we will learn about the governing equations for advective-dispersive chemical transport, and finally we will define the parameters and find the analytical solution of the governing equations. Some numerical results will be used as examples to understand the process.
Confirmation of the learning achievement degree 1 Confirmation of the learning achievement degree

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Textbook(supplemental)

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