Computational Fluid Dynamics for Incompressible Flows (English)

   Tuesday, March 26, 2024   

Starting a new Lecture Notes Series on Computational Fluid Dynamics for Incompressible Flows

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Channel Name: NPTEL IIT Guwahati

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Computational Fluid Dynamics for Incompressible Flows By Lecture Notes together!

Lecture 1: Computational Fluid Dynamics for Incompressible Flows: Intro Video

Lecture 2: Lec 1: Applications of CFD

Lecture 3: Lec 2: Basic equations of fluid dynamics and heat transfer

Lecture 4: Lec 3: Initial and boundary conditions

Lecture 5: Lec 4: System of second-order PDEs

Lecture 6: Lec 5: System of first-order PDEs

Lecture 7: Lec 6: Finite difference by Taylor series expansion

Lecture 8: Lec 7: Finite difference by general approximation and polynomials

Lecture 9: Lec 8: Finite difference in non-uniform grid

Lecture 10: Lec 9: Types of error and accuracy of FD solutions

Lecture 11: Lec 10: Finite difference formulations of Elliptic Equations with boundary condition treatment

Lecture 12: Lec 11: Iterative Methods

Lecture 13: Lec 12: Applications

Lecture 14: Lec 13: Linear Solvers

Lecture 15: Lec 14: Finite difference formulations of Parabolic Equations

Lecture 16: Lec 15: Finite difference formulations of Parabolic Equations: Implicit Methods

Lecture 17: Lec 16: Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation

Lecture 18: Lec 17: Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation

Lecture 19: Lec 18: Finite difference formulations of the first order wave equation: Explicit Method

Lecture 20: Lec 19: Finite difference formulations of the first order wave equation: Implicit Method

Lecture 21: Lec 20: Von Neumann stability analysis of different schemes for Parabolic equations

Lecture 22: Lec 21: von Neumann stability analysis of different schemes for Parabolic equations

Lecture 23: Lec 22: von Neumann stability analysis of different schemes for Hyperbolic equations

Lecture 24: Lec 23: Modified equation, Artificial viscosity, Numerical diffusion

Lecture 25: Lec 24: Discretization vorticity-stream function equations using FDM

Lecture 26: Lec 25: Boundary conditions for flow problems

Lecture 27: Lec 26: Solutions of vorticity-stream function equations

Lecture 28: Lec 27: Solution of Navier-Stokes Equation using FDM

Lecture 29: Lec 28: Solution of Navier-Stokes Equation using FDM (Continued)

Lecture 30: Lec 29: Introduction to finite volume method

Lecture 31: Lec 30: Finite volume discretization of steady diffusion equation

Lecture 32: Lec 31: Finite volume discretization of unsteady diffusion equation

Lecture 33: Lec 32: Finite volume discretization of steady convection- diffusion equation

Lecture 34: Lec 33: Finite volume discretization of unsteady convection- diffusion equation

Lecture 35: Lec 34: Convection Schemes

Lecture 36: Lec 35: Solution of Navier-Stokes Equations using FVM

Lecture 37: Lec 36: Solution of Navier-Stokes Equations using FVM - II

Lecture 38: Lec 37: Boundary Conditions