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Last updated:

September 25, 2023

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This course includes:

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Description

Computational Fluid Dynamics. Instructor: Dr. Krishna M. Singh, Department of Mechanical and Industrial Engineering, IIT Roorkee.

This course looks at all the aspects theoretical, numerical, and application aspects of computational fluid dynamics. Computational fluid dynamics (CFD) has become an essential tool in analysis and design of thermal and fluid flow systems in wide range of industries. Few prominent areas of applications of CFD include meteorology, transport systems (aerospace, automobile, high speed trains), energy systems, environment, electronics, biomedical (design of life support and drug delivery systems), etc.

The correct use of CFD as a design analysis or diagnostic tool requires a thorough understanding of underlying physics, mathematical modeling and numerical techniques. The user must be fully aware of the properties and limitations of the numerical techniques incorporated in CFD software. This course aims to provide precisely these insights of CFD. (from nptel.ac.in)

Course Curriculum

    • Lecture 01 – General Introduction: Historical Background and Spectrum of Applications Unlimited
    • Lecture 02 – CFD: Simulation Process and Course Outline Unlimited
    • Lecture 03 – Conservation Laws and Mathematical Preliminaries Unlimited
    • Lecture 04 – Mass Conservation: Continuity Equation Unlimited
    • Lecture 05 – Momentum Equation: Newton’s 2nd Law Unlimited
    • Lecture 06 – Momentum Equation: Navier-Stokes Equations Unlimited
    • Lecture 07 – Navier-Stokes Equation and its Simplified Forms Unlimited
    • Lecture 08 – Energy and Scalar Transport Equations Unlimited
    • Lecture 09 – Scalar Transport, Mathematical Classification and Boundary Conditions Unlimited
    • Lecture 15 – Implementation of Boundary Conditions and Finite Difference Algebraic System Unlimited
    • Lecture 10 – Finite Difference Method: Methodology and Grid Notation Unlimited
    • Lecture 11 – Finite Difference Approximation of First Order Derivatives Unlimited
    • Lecture 12 – Finite Difference Approximation of Second Order Derivatives Unlimited
    • Lecture 13 – Finite Difference Approximation of Second Order Derivatives (cont.) Unlimited
    • Lecture 14 – Approximation of Mixed Derivatives and Multi-Dimensional F.D. Formulae Unlimited
    • Lecture 15 – Implementation of Boundary Conditions and Finite Difference Algebraic System Unlimited
    • Lecture 16 – Applications of FDM to Scalar Transport Problems Unlimited
    • Lecture 17 – Applications of FDM to Scalar Transport Problems (cont.) Unlimited
    • Lecture 18 – Application of FDM to Advection-Diffusion and Computer Implementation Aspects Unlimited
    • Lecture 19 – Computer Implementation of FDM for Steady State Heat Diffusion Problems Unlimited
    • Lecture 20 – Computer Implementation of FDM for Steady State Heat Diffusion Problems (cont.) Unlimited
    • Lecture 21 – Computer Implementation of FDM for Steady State Heat Diffusion Problems (cont.) Unlimited
    • Lecture 22 – Solution of Discrete Algebraic Systems Unlimited
    • Lecture 23 – Direct and Basic Iterative Methods for Linear Systems Unlimited
    • Lecture 24 – Accelerated Iterative Methods for Linear Systems Unlimited
    • Lecture 25 – Two-Level and Multi-Level Methods for First Order Initial Value Problems Unlimited
    • Lecture 26 – Two-Level and Multi-Level Methods for First Order IVPs (cont.) Unlimited
    • Lecture 27 – Application to Unsteady Transport Problems Unlimited
    • Lecture 28 – Introduction to Finite Volume Method Unlimited
    • Lecture 29 – Finite Volume Interpolation Schemes Unlimited
    • Lecture 30 – Application to FVM to Scalar Transport Unlimited
    • Lecture 31 – Introduction to Finite Element Method Unlimited
    • Lecture 32 – Finite Element Shape Functions and Numerical Integration Unlimited
    • Lecture 33 – Finite Element Shape Functions and Numerical Integration (cont.) Unlimited
    • Lecture 34 – Application of FEM to Scalar Transport Unlimited
    • Lecture 35 – Special Features of Navier-Stokes Equations Unlimited
    • Lecture 36 – Time Integration Techniques for Navier-Stokes Equations Unlimited
    • Lecture 37 – Implicit Pressure Correction Methods Unlimited
    • Lecture 38 – SIMPLEC, SIMPLER and Fractional Step Methods Unlimited
    • Lecture 39 – Turbulent Flows: Features and Simulation Strategies Unlimited
    • Lecture 40 – Reynolds Averaging and RANS Simulation Models Unlimited
    • Lecture 41 – RANS Turbulence Models and Large Eddy Simulation Unlimited
    • Lecture 42 – Introduction to Grid Generation Unlimited
    • Lecture 43 – Aspects of Practical CFD Analysis Unlimited

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