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Computational Fluid Dynamics For Incompressible Flows

Prof. Amaresh Dalal · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

Week 1 : Introduction to Computational Fluid Dynamics

  1. Lec 1: Applications of CFD Video
  2. Lec 2: Basic equations of fluid dynamics and heat transfer Video
  3. Lec 3: Initial and boundary conditions Video

Week 2: Classification of PDEs

  1. Physical Classification, System of first-order PDEs Video
  2. System of second-order PDEs Video

Week 3 : Finite Difference Method

  1. Lec 1: Finite difference by Taylor series expansion Video
  2. Lec 2: Finite difference by general approximation and polynomials Video
  3. Lec 3: Finite difference in non-uniform grid Video
  4. Lec 4: Types of error and accuracy of FD solutions Video

Week 4 : Elliptic equations

  1. Lec 1: Finite difference formulations of Elliptic Equations with boundary condition treatment Video
  2. Lec 2: Iterative Methods Video
  3. Lec 3: Applications Video
  4. Lec 4: Linear Solvers Video

Week 5 : Parabolic equations

  1. Lec 1: Finite difference formulations of Parabolic Equations Video
  2. Lec 2: Finite difference formulations of Parabolic Equations: Implicit Methods Video
  3. Lec 3: Finite difference formulations of Parabolic Equations: Unsteady Two-Dimensional Equation Video
  4. Lec 4: Finite difference formulations of Parabolic Equations: Unsteady Three-Dimensional Equation Video

Week 6 : Hyperbolic equations

  1. Lec 1: Finite difference formulations of the first order wave equation: Explicit Method Video
  2. Lec 2: Finite difference formulations of the first order wave equation: Implicit Method Video

Week 7 : Stability Analysis

  1. Lec 1: von Neumann stability analysis of different schemes for Parabolic equations Video
  2. Lec 2: von Neumann stability analysis of different schemes for Parabolic equations Video
  3. Lec 3: von Neumann stability analysis of different schemes for Hyperbolic equations Video
  4. Lec 4: Modified equation, Artificial viscosity, Numerical diffusion Video

Week 08 : Vorticity-streamfunction formulation

  1. Lec 1: Discretization vorticity-stream function equations using FDM Video
  2. Lec 2: Boundary conditions for flow problems Video
  3. Lec 3: Solutions of vorticity-stream function equations Video

Week 09 : MAC Algorithm

  1. Lec 1:Solution of Navier-Stokes Equation using FDM Video
  2. Lec 2: Solution of Navier-Stokes Equation using FDM (Continued) Video

Week 10 : Finite volume method - I

  1. Lec 1: Introduction to finite volume method Video
  2. Lec 2: Finite volume discretization of steady diffusion equation Video
  3. Lec 3: Finite volume discretization of unsteady diffusion equation Video

Week 11 : Finite volume method - II

  1. Lec 1: Finite volume discretization of steady convection- diffusion equation Video
  2. Lec 2: Finite volume discretization of unsteady convection- diffusion equation Video
  3. Lec 3: Convection Schemes Video

Week 12 : SIMPLE algorithm

  1. Lec 1: Solution of Navier-Stokes Equations using FVM Video
  2. Lec 2: Solution of Navier-Stokes Equations using FVM - II Video
  3. Lec 3: Boundary Conditions Video

Live Session

  1. Live Session 24-02-2020 Video
  2. Live Session 19-03-2020 Video
  3. Live Session 06-05-2020 Video
  4. Live Session 21-02-2022 Video
  5. Live Session 10-02-2025 Video
  6. Live Session 03-03-2025 Video
  7. Live Session 24-03-2025 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Mechanical Engineering
Teacher
Prof. Amaresh Dalal
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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