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, convectivediffusive equation & NavierStokes 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.
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 secondorder PDEs
56:11 
Lec 5: System of firstorder 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 nonuniform 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 TwoDimensional Equation
00:00 
Lec 17: Finite difference formulations of Parabolic Equations: Unsteady ThreeDimensional 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 vorticitystream function equations using FDM
00:00 
Lec 25: Boundary conditions for flow problems
00:00 
Lec 26: Solutions of vorticitystream function equations
00:00 
Lec 27: Solution of NavierStokes Equation using FDM
43:24 
Lec 28: Solution of NavierStokes 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 NavierStokes Equations using FVM
00:00 
Lec 36: Solution of NavierStokes Equations using FVM – II
00:00 
Lec 37: Boundary Conditions
00:00
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