Learn · Computational Fluid Dynamics
Lecture 30 of 43Computational Fluid Dynamics
Discretization of Convection-Diffusion Equations: A Finite Volume Approach
Prof. S. Chakraborty · IIT Kharagpur
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All the lectures
- Introduction to Computational Fluid Dynamics and Principles of Conservation
- Conservation of Mass and Momentum: Continuity and Navier Stokes Equation
- Navier Stokes Equation (Contd.)
- Energy Equation and General Structure of Conservation Equations
- Classification of Partial Differential Equations and Physical Behaviour
- Classification of Partial Differential Equations and Physical Behaviour (Contd.)
- Approximate Solutions of Differential Equations: Error Minimization Principles
- Approximate Solutions of Differential Equations: Variational Principles and Weighted Residual Approach
- Weighted Residual Approach and Introduction to Discretization
- Fundamentals of Discretization: Finite Element Method
- Fundamentals of Discretization: Finite Difference and Finite Volume Method
- Fundamentals of Discretization: Finite Volume Method (Contd.)
- Finite Volume Method: Some Conceptual Basics and Illustrations through 1-D Steady State Diffusion Problems
- Finite Volume Method: Boundary Condition Implementation and Discretization of Unsteady State Problems
- Finite Volume Method: Discretization of Unsteady State Problems
- Important Consequences of Discretization of Unsteady State Problems
- Important Consequences of Discretization of Time Dependent Diffusion Type Problems (Contd.) and Stability Analysis
- Discretization of Hyperbolic Equations: Stability Analysis
- PART 1 : Stability of Second Order Hyperbolic Equations PART 2 : Mid-Semester Assessment Review (Questions and Answers)
- PART 1: Mid-Semester Assessment Review (Questions and Answers) (Contd.) PART 2: Finite Volume Discretization of 2-D Unsteady State Diffusion Type
- Solution of Systems of Linear Algebraic Equations
- Solution of Systems of Linear Algebraic Equations: Elimination Methods
- Solution of Systems of Linear Algebraic Equations: Elimination Methods (Contd.)
- Elimination Methods: Error Analysis
- Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations
- Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations (Contd.)
- Iterative Methods: Further Examples
- PART 1: Combination of Iteration & Elimination Techniques PART 2: Introduction to Gradient Search Methods
- Gradient Search Methods (Contd.)
- Discretization of Convection-Diffusion Equations: A Finite Volume Approach
- Discretization of Convection-Diffusion Equations: A Finite Volume Approach (Contd.)
- Discretization of Convection- Diffusion Equations: A Finite Volume Approach (Contd.)
- Discretization of Convection -Diffusion Equations: A Finite Volume Approach (Contd.)
- Discretization of Convection-Diffusion Equations: A Finite Volume Approach ( Contd.)
- Discretization of Navier Stokes Equations
- Discretization of Navier Stokes Equations ( Contd.)
- Discretization of Navier Stokes Equations ( Contd. )
- PART 1 : Discretization of Navier Stokes Equations (Contd.) PART 2 : Fundamentals of Unstructured Grid Formulation
- Unstructured Grid Formulation (Contd.)
- What is there in implementing a CFD Code
- Introduction to Turbulence Modeling
- Introduction to Turbulence Modeling (Contd.)
- End Semester Questions Review