Mod-01 Lec-08 Approximate Solutions of Differential Equations: Variational Principles

Course Lectures

• Mod-01 Lec-01 Introduction to Computational Fluid Dynamics and Principles of Conservation

  Prof. S. Chakraborty

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• Mod-01 Lec-02 Conservation of Mass and Momentum: Continuity and Navier Stokes Equation

  Prof. S. Chakraborty

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• Mod01 Lec-03 Navier Stokes Equation (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-04 Energy Equation and General Structure of Conservation Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-05 Classification of Partial Differential Equations and Physical Behaviour

  Prof. S. Chakraborty

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• Mod-01 Lec-06 Classification of Partial Differential Equations and Physical Behaviour (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-07 Approximate Solutions of Differential Equations: Error Minimization Principles

  Prof. S. Chakraborty

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• Mod-01 Lec-08 Approximate Solutions of Differential Equations: Variational Principles

  Prof. S. Chakraborty

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• Mod-01 Lec-09 Weighted Residual Approach and Introduction to Discretization

  Prof. S. Chakraborty

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• Mod-01 Lec-10 Fundamentals of Discretization: Finite Element Method

  Prof. S. Chakraborty

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• Mod-01 Lec-11 Fundamentals of Discretization: Finite Difference and Finite Volume Method

  Prof. S. Chakraborty

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• Mod-01 Lec-12 Fundamentals of Discretization: Finite Volume Method (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-13 Finite Volume Method:Some Concept Basics

  Prof. S. Chakraborty

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• Mod-01 Lec-14 Finite Volume Method: Boundary Condition Implementation

  Prof. S. Chakraborty

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• Mod-01 Lec-15 Finite Volume Method:Discretization of Unsteady State Problems

  Prof. S. Chakraborty

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• Mod-01 Lec-16 Important Consequences of Discretization of Unsteady State Problems

  Prof. S. Chakraborty

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• Mod-01 Lec-17 Important Consequences of Discretization of Time Dependent Diffusion

  Prof. S. Chakraborty

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• Mod-01 Lec-18 Discretization of Hyperbolic Equations: Stability Analysis

  Prof. S. Chakraborty

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• Mod-01 Lec-19 PART1:Stability of Second Order Hyperbolic Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-20 PART 1: Mid-Semester Assessment Review (Questions and Answers) (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-21 Solution of Systems of Linear Algebraic Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-22 Solution of Systems of Linear Algebraic Equations: Elimination Methods

  Prof. S. Chakraborty

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• Mod-01 Lec-23 Solution of Systems of Linear Algebraic Equations: Elimination Methods (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-24 Elimination Methods: Error Analysis

  Prof. S. Chakraborty

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• Mod-01 Lec-25 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-26 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-27 Iterative Methods: Further Examples

  Prof. S. Chakraborty

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• Mod-01 Lec-28 PART1:Combination of Iteration & Elimination Techniques

  Prof. S. Chakraborty

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• Mod-01 Lec-29 Gradient Search Methods (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-30 Discretization of Convection-Diffusion Equations: A Finite Volume Approach

  Prof. S. Chakraborty

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• Mod-01 Lec-31 Discretization of Convection-Diffusion Equations: A Finite Volume Approach (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-32 Discretization of Convection- Diffusion Equations: A Finite Volume Approach (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-33 Discretization of Convection -Diffusion Equations: A Finite Volume Approach (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-34 Discretization of Convection-Diffusion Equations: A Finite Volume Approach ( Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-35 Discretization of Navier Stokes Equations

  Prof. S. Chakraborty

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• Mod-01 Lec-36 Discretization of Navier Stokes Equations ( Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-37 Discretization of Navier Stokes Equations ( Contd. )

  Prof. S. Chakraborty

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• Mod-01 Lec-39 Unstructured Grid Formulation (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-40 What is there in implementing a CFD Code

  Prof. S. Chakraborty

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• Mod-01 Lec-41 Introduction to Turbulence Modeling

  Prof. S. Chakraborty

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• Mod-01 Lec-42 Introduction to Turbulence Modeling (Contd.)

  Prof. S. Chakraborty

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• Mod-01 Lec-43 End Semester Questions Review

  Prof. S. Chakraborty

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