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Course11210707943 lectures

Computational Fluid Dynamics

Dr. K. M. Singh · IIT Roorkee

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Lectures

INTRODUCTION TO COMPUTATIONAL FLUID DYNAMICS

  1. General Introduction: Historical Background and Spectrum of Applications Video
  2. CFD: Simulation Process and Course Outline Video

MATHEMATICAL MODELING

  1. Conservation Laws and Mathematical Preliminaries Video
  2. Mass Conservation: Continuity Equation Video
  3. Momentum Equation: Newton’s 2nd Law Video
  4. Momentum Equation: Navier-Stokes Equations Video
  5. Navier-Stokes Equation and its Simplified Forms Video
  6. Energy and Scalar Transport Equations Video
  7. Scalar Transport, Mathematical Classification and Boundary Conditions Video

FINITE DIFFERENCE METHOD

  1. Finite Difference Method: Methodology and Grid Notation Video
  2. Finite Difference Approximation of First Order Derivatives Video
  3. Finite Difference Approximation of Second Order Derivatives Video
  4. Finite Difference Approximation of Second Order Derivatives-2 Video
  5. Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae Video
  6. Implementation of Boundary Conditions and Finite Difference Algebraic System Video
  7. Applications of FDM to Scalar Transport Problems-1 Video
  8. Applications of FDM to Scalar Transport Problems-2 Video
  9. Application of FDM to Advection-Diffusion and Computer Implementation Aspects Video
  10. Computer Implementation of FDM for Steady State Heat Diffusion Problems Video
  11. Computer Implementation of FDM for Steady State Heat Diffusion Problems -2 Video
  12. Computer Implementation of FDM for Steady State Heat Diffusion Problems -3 Video

SOLUTION OF ALGEBRAIC SYSTEMS

  1. Solution of Discrete Algebraic Systems Video
  2. Direct and Basic Iterative Methods for Linear Systems Video
  3. Accelerated Iterative Methods for Linear Systems Video

TIME INTEGRATION TECHNIQUES

  1. Two Level and Multi-Level Methods for First Order IVPs Video
  2. Two Level and Multi-Level Methods for First Order IVPs-2 Video
  3. Application to Unsteady Transport Problems Video

FINITE VOLUME METHOD

  1. Introduction to Finite Volume Method Video
  2. Finite Volume Interpolation Schemes Video
  3. Application of FVM to Scalar Transport Video

FINITE ELEMENT METHOD

  1. Introduction to Finite Element Method Video
  2. Finite Element Shape Functions and Numerical Integration Video
  3. Finite Element Shape Functions and Numerical Integration-2 Video
  4. Application of FEM to Scalar Transport Video

NUMERICAL SOLUTION OF NAVIER STOKES EQUATIONS

  1. Special Features of Navier-Stokes Equations Video
  2. Time Integration Techniques for Navier-Stokes Equations Video
  3. Implicit Pressure Correction Methods Video
  4. SIMPLEC, SIMPLER and Fractional Step Methods Video

NUMERICAL SIMULATION OF TURBULENT FLOWS

  1. Turbulent Flows: Features and Simulation Strategies Video
  2. Reynolds Averaging and RANS Simulation Models Video
  3. RANS Turbulence Models and Large Eddy Simulation Video

GRID GENERATION AND ASPECTS OF REAL LIFE CFD ANALYSIS

  1. Introduction to Grid Generation Video
  2. Aspects of Practical CFD Analysis Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Mechanical Engineering
Teacher
Dr. K. M. Singh
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
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