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The Outline ofmulti-field cross-scale simulation

  1. Basic Teaching Information

Course Code:2000410012001

Course Titlemulti-field cross-scale simulation

FacultyMechanical Engineering

Targeted Studentundergraduate

Course Credit1

Lecture Hours16

consisted of _16_ theoretical hours

Course Leader

NameYuzheng Guo

E-mailyguo@whu.edu.cn

Office

Mobile

Course Staff

NameZhaofu Zhang

E-mailzhaofuzhang@whu.edu.cn

Office

Mobile

Course Type一般通识课程General Course

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Course Introduction

This course is an undergraduate-level course that covers the fundamentals of multi-field, multi-scale simulation methods, including density functional theory (DFT), molecular dynamics (MD), and finite element method (FEM). The course will also introduce the latest developments in the application of machine learning (ML) to simulation and modeling. Students will learn how to apply these methods to solve real-world problems in science and engineering.


The Allocation of Content and Lecture Hours

Content

Lecture Hours

Introduction   to Multi-Field, Multi-Scale Simulation

  • Overview of simulation methods in materials science and electrical engineering

  • Introduction to DFT, MD, and FEM

  • Basics of programming and simulation languages

  • Examples:

    • DFT: calculation of the electronic structure of a simple metal (e.g. lithium)

    • MD: simulation of the motion of a small molecule (e.g. water)

    • FEM: analysis of the thermal conductivity of a simple material (e.g. copper)

1

Density   Functional Theory

  • Fundamentals of DFT

    • Kohn-Sham equations

    • Exchange-correlation functionals

    • Examples of DFT applications in materials science and electrical engineering

  • Examples:

    • DFT calculation of the electronic structure of a semiconductor (e.g. silicon)

    • DFT calculation of the optical properties of a metal (e.g. gold)

    • DFT calculation of the superconducting properties of a material (e.g. niobium)

2

Molecular   Dynamics

  • Fundamentals of MD

    • Verlet algorithm

    • Velocity-Verlet algorithm

    • Examples of MD applications in materials science and electrical engineering

  • Examples:

    • MD simulation of the motion of a protein molecule

    • MD simulation of the dynamics of a nanoscale device

    • MD simulation of the phas transition in a material (e.g. phase transition in a polymer)

2

Finite   Element Method

  • Fundamentals of FEM

    • Weak form and variational formulation

    • Element types and assembly

    • Examples of FEM applications in materials science and electrical engineering

  • Examples:

    • FEM analysis of the thermal conductivity of a complex material (e.g. composite material)

    • FEM analysis of the mechanical properties of a complex material (e.g. composite material)

    • FEM analysis of the electromagnetic properties of a complex material (e.g. metamaterial)

2

Machine   Learning in Simulation and Modeling

  • Introduction to machine learning and its application to simulation and modeling

    • Overview of popular ML algorithms and their applications

    • Examples of ML applications in materials science and electrical engineering

  • Examples:

    • ML-based prediction of material properties (e.g. mechanical properties of a material)

    • ML-based prediction of device behavior (e.g. electrical properties of a transistor)

    • ML-based prediction of system behavior (e.g. thermal conductivity of a complex material)

1

Assessment Methods and Marking Criterion

On-line programming and reports.


Textbooks and References

Textbooks:

  1. "Density Functional Theory: A Practical Introduction"      by R. M. Martin and J. M. Soler

  2. "Molecular Dynamics Simulations: Elementary Methods"      by M. P. Allen and D. J. Tildesley

  3. "The Finite Element Method: A Practical Course" by T.      J. R. Hughes

  4. "Machine Learning for Materials Science" by R. M.      Wentzcovitch and J. R. Chelikowsky

  5. "Computational Materials Science: From Ab Initio to      Multiscale" by J. R. Chelikowsky and M. I. Baskes

Journal Articles:

  1. "Density Functional Theory: An Overview" by R. M.      Martin, Rev. Mod. Phys. 68, 601 (1996)

  2. "Molecular Dynamics Simulations of Materials      Properties" by M. P. Allen and D. J. Tildesley, J. Chem. Phys. 123,      104502 (2005)

  3. "Finite Element Methods for Materials Simulation" by      T. J. R. Hughes, Comput. Meth. Appl. Mech. Engrg. 196, 1 (2006)

  4. "Machine Learning for Materials Design" by R. M.      Wentzcovitch and J. R. Chelikowsky, NPJ Comput. Mater. 3, 22 (2017)

  5. "Multiscale Modeling of Materials" by J. R.      Chelikowsky and M. I. Baskes, J. Phys.: Condens. Matter 29, 343201 (2017)

Online Resources:

  1. The Materials Project: A comprehensive online resource for      materials simulation and analysis

  2. The Open Source Molecular Dynamics (OpenMM) software: A free      and open-source molecular dynamics software

  3. The Finite Element Method (FEM) tutorial by the University of      California, Berkeley

  4. The Machine Learning for Materials Science (MLMS) workshop by      the Materials Research Society

  5. The Multiscale Modeling of Materials (MMMS) workshop by the      National Science Foundation

Software and Tools:

  1. NWChem: A free and open-source quantum chemistry software

  2. Quantum ESPRESSO: A free and open-source DFT software

  3. VASP: A free and open-source DFT software

  4. OpenMM: A free and open-source molecular dynamics software

  5. COMSOL: A commercial FEM software

  6. MATLAB: A commercial programming language and software

  7. Python: A free and open-source programming language and      software