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Computational Fluid Dynamics Techniques

Mathematics

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Computational Fluid Dynamics for Incompressible Flows Intro Video

Lec 1 Applications of CFD

Lec 2 Basic equations of fluid dynamics and heat transfer

Lec 3 Initial and boundary conditions

Lec 4 System of second order PDEs

Lec 5 System of first order PDEs

Lec 6 Finite difference by Taylor series expansion

Lec 7 Finite difference by general approximation and polynomials

Lec 8 Finite difference in non uniform grid

Lec 9 Types of error and accuracy of FD solutions

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

Lec 11 Iterative Methods

Lec 12 Applications

Lec 13 Linear Solvers

Lec 14 Finite difference formulations of Parabolic Equations

Lec 15 Finite difference formulations of Parabolic Equations Implicit Methods

Lec 16 Finite difference formulations of Parabolic Equations Unsteady Two Dimensional Equation

Lec 17 Finite difference formulations of Parabolic Equations Unsteady Three Dimensional Equation

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

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

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

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

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

Lec 23 Modified equation Artificial viscosity Numerical diffusion

Lec 24 Discretization vorticity stream function equations using FDM

Lec 25 Boundary conditions for flow problems

Lec 26 Solutions of vorticity stream function equations

Lec 27 Solution of Navier Stokes Equation using FDM

Lec 28 Solution of Navier Stokes Equation using FDM Continued

Lec 29 Introduction to finite volume method

Lec 30 Finite volume discretization of steady diffusion equation

Lec 31 Finite volume discretization of unsteady diffusion equation

Lec 32 Finite volume discretization of steady convection diffusion equation

Lec 33 Finite volume discretization of unsteady convection diffusion equation

Lec 34 Convection Schemes

Lec 35 Solution of Navier Stokes Equations using FVM

Lec 36 Solution of Navier Stokes Equations using FVM II

Lec 37 Boundary Conditions

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Rahul Dey

Very good 2025-03-28

Rahul Dey

Best for my mechanical engineering concept on cfd 2024-12-23

Rico

The course is clear and the lecturer provide clear esplanation but the main issue is the fact that there is no more pratical exercise to solve alone. I really appreciate the course and I get a lot. Thank you very much 2024-09-03

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