NTU Course
NewsHelpOverview

Finite Volume Method in Computational Fluid Dynamics and Heat Transfer

Offered in 112-2New
  • Notes
    The course is conducted in English。

  • NTU Enrollment Status

    Loading...
  • Course Description
    This lecture starts with the basic concepts of fluids, flows and heat transfer. The components and properties as well as the limitations of numerical methods are then addressed, where different discretization approaches are examined. The fundamental principles of finite difference methods and finite volume methods are subsequently introduced followed by the investigation of various approaches for solving the linear equation systems. The time-marching methods for unsteady flow and heat transfer problems are surveyed, whereas the solution methods for the Navier-Stoke equations are demonstrated. The turbulent and compressible flow problems are also discussed together with the grid issues arising from complex geometries. The strategies for improving the computational efficiency and accuracy are reviewed. Hand-on hours of PDE solver platform and commercial CFD software are employed to the application of the principles of finite volume methods to the fluid dynamics and heat transfer problems.
  • Course Objective
    Students are targeted to understand the fundamental principles of the finite volume methods and to be capable of applying the finite volume methods to the fluid dynamics and heat transfer problems.
  • Course Requirement
    programming language, numerical analysis, fluid mechanics, heat transfer
  • Expected weekly study hours after class
    6 hours
  • Office Hour

    Please make your appointment with EMAIL.

    *This office hour requires an appointment
  • Designated Reading
    1. F. Moukalled, L. Mangani, M. Darwish, The finite volume method in computational fluid dynamics: an advanced introduction with OpenFOAM, Springer, 2016. 2. Pradip Dutta and Suman Chakraborty, Finite-Volume Method for Numerical Simulation: Fundamentals, CRC press, 2012. 3. Randall J. LeVeque, Finite volume methods for hyperbolic problems, Cambridge University Press, 2002. 4. Joe E. Thompson, Z.U.A. Warsi and C. Wayne Mastin, Numerical Grid Generation: Foundations and Applications, Elsevier, 1985. 5. Dale Arden Anderson, John C. Tannehill, Richard H. Pletcher, Computational Fluid Dynamics and Heat Transfer, Hemisphere Publishing, 1984.
  • References
    Joel H. Ferziger, Milovan Perić, Robert L. Street, Computational Methods for Fluid Dynamics, 4th ed., Springer, 2020.
  • Grading
    50%

    Homework

    Formula derivation and sample program revision.

    50%

    Term Project

    Case study using CFD software

  • Adjustment methods for students
    Adjustment MethodDescription
    Teaching methods

    Provide students with flexible ways of attending courses

    Assignment submission methods

    Extension of the deadline for submitting assignments

    Mutual agreement to present in other ways between students and instructors

    Exam methods

    Final exam date postponement

    Others

    Negotiated by both teachers and students

  • Course Schedule
    2/22Week 1Basic Concepts of Fluid Flow
    2/29Week 2Introduction to Numerical Methods
    3/7Week 3Introduction to Numerical Methods
    3/14Week 4Finite Difference Methods
    3/21Week 5Cancelled
    3/28Week 6Finite Volume Method
    4/4Week 7University Holiday. No Meeting.
    4/11Week 8Solution of Linear Equation Systems
    4/18Week 9Solution of Linear Equation Systems
    4/25Week 10Methods for Unsteady Problems
    5/2Week 11Methods for Unsteady Problems
    5/9Week 12Solution of the Navier-Stokes Equation
    5/16Week 13Solution of the Navier-Stokes Equation
    5/23Week 14Company Visit
    5/30Week 15Solution of the Navier-Stokes Equation
    6/6Week 16Term Project Workshop