Computational Fluid Dynamics for Incompressible Flows

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About Course

Computational Fluid Dynamics (FDs) for Incompressible Flows.

This is an introductory course on computational (FDs) (CFD). This course will primarily cover the basics of computational fluid dynamics starting from the classification of partial differential equations, linear solvers, finite difference method, and finite volume method for discretizing Laplace equation, convective-diffusive equation & Navier-Stokes equations. The course will help faculty members, students, and researchers in the field to get an overview of the concepts in CFD.

INTENDED AUDIENCE: Undergraduate and postgraduate students of Mechanical Engineering and similar branches; Faculty members associated with Mechanical Engineering; Practicing engineers associated with fluid and thermal industries.

What Will You Learn?

  • Week 1: Introduction to Computational Fluid Dynamics
  • Week 2: Classification of PDEs
  • Week 3: Finite difference method
  • Week 4: Elliptic equations
  • Week 5: Parabolic equations
  • Week 6: Hyperbolic equations
  • Week 7: Stability Analysis
  • Week 8: Vorticity-stream function formulation
  • Week 9: MAC Algorithm
  • Week 10: Finite volume method
  • Week 11: Finite volume method
  • Week 12: a SIMPLE algorithm

Course Content

Computational Fluid Dynamics for Incompressible Flows

  • Computational Fluid Dynamics for Incompressible Flows: Intro Video
    00:00
  • Lec 1: Applications of CFD
    00:00
  • Lec 2: Basic equations of fluid dynamics and heat transfer
    50:24
  • Lec 3: Initial and boundary conditions
    50:54
  • Lec 4: System of second-order PDEs
    56:11
  • Lec 5: System of first-order PDEs
    44:12
  • Lec 6: Finite difference by Taylor series expansion
    55:51
  • Lec 7: Finite difference by general approximation and polynomials
    00:00
  • Lec 8: Finite difference in non-uniform grid
    54:54
  • Lec 9: Types of error and accuracy of FD solutions
    00:00
  • Lec 10: Finite difference formulations of Elliptic Equations with boundary condition treatment
    00:00
  • Lec 11: Iterative Methods
    00:00
  • Lec 12: Applications
    00:00
  • Lec 13: Linear Solvers
    00:00
  • Lec 14: Finite difference formulations of Parabolic Equations
    46:13
  • Lec 15: Finite difference formulations of Parabolic Equations: Implicit Methods
    01:08:47
  • Lec 16: Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation
    00:00
  • Lec 17: Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation
    00:00
  • Lec 18: Finite difference formulations of the first order wave equation: Explicit Method
    00:00
  • Lec 19: Finite difference formulations of the first order wave equation: Implicit Method
    44:26
  • Lec 20: Von Neumann stability analysis of different schemes for Parabolic equations
    46:16
  • Lec 21: von Neumann stability analysis of different schemes for Parabolic equations
    40:55
  • Lec 22: von Neumann stability analysis of different schemes for Hyperbolic equations
    00:00
  • Lec 23: Modified equation, Artificial viscosity, Numerical diffusion
    00:00
  • Lec 24: Discretization vorticity-stream function equations using FDM
    00:00
  • Lec 25: Boundary conditions for flow problems
    00:00
  • Lec 26: Solutions of vorticity-stream function equations
    00:00
  • Lec 27: Solution of Navier-Stokes Equation using FDM
    43:24
  • Lec 28: Solution of Navier-Stokes Equation using FDM (Continued)
    55:50
  • Lec 29: Introduction to finite volume method
    00:00
  • Lec 30: Finite volume discretization of steady diffusion equation
    00:00
  • Lec 31: Finite volume discretization of unsteady diffusion equation
    00:00
  • Lec 32: Finite volume discretization of steady convection- diffusion equation
    00:00
  • Lec 33: Finite volume discretization of unsteady convection- diffusion equation
    00:00
  • Lec 34: Convection Schemes
    00:00
  • Lec 35: Solution of Navier-Stokes Equations using FVM
    00:00
  • Lec 36: Solution of Navier-Stokes Equations using FVM – II
    00:00
  • Lec 37: Boundary Conditions
    00:00

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