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Computational Fluid Dynamics M.E. NPTEL

Online Free Online Course by  World Mentoring Academy
Online / Free Online Course

Details

Illustration of the CFD approach; CFD as an engineering analysis tool. Derivation of flow governing equations; turbulence modeling; modeling approaches for multiphase flow; initial and boundary conditions; wellposedness. Discretization of the governing equations using finite difference/volume/element methods; concepts of consistency, stability and convergence; template for the discretization of a generic unsteady transport equation. Solution of discretized equations; direct methods; classical iterative methods; advanced methods for structured matrices; conjugate gradient techniques; multigrid methods.

Resources: OpenCourseware from NPTEL (India), Sheridan College, MIT, UC Berkeley, Stanford & many other of the World's finest University's.

Language: English

Units: 43

Lesson content
  • Mod-01 Lec-01 Introduction to Computational Fluid Dynamics and Principles of Conservation  
  • Mod-01 Lec-02 Conservation of Mass and Momentum: Continuity and Navier Stokes Equation  
  • Mod01 Lec-03 Navier Stokes Equation (Contd.)  
  • Mod-01 Lec-04 Energy Equation and General Structure of Conservation Equations  
  • Mod-01 Lec-05 Classification of Partial Differential Equations and Physical Behaviour  
  • Mod-01 Lec-06 Classification of Partial Differential Equations and Physical Behaviour (Contd.)  
  • Mod-01 Lec-07 Approximate Solutions of Differential Equations: Error Minimization Principles  
  • Mod-01 Lec-08 Approximate Solutions of Differential Equations: Variational Principles  
  • Mod-01 Lec-09 Weighted Residual Approach and Introduction to Discretization  
  • Mod-01 Lec-10 Fundamentals of Discretization: Finite Element Method  
  • Mod-01 Lec-11 Fundamentals of Discretization: Finite Difference and Finite Volume Method  
  • Mod-01 Lec-12 Fundamentals of Discretization: Finite Volume Method (Contd.)  
  • Mod-01 Lec-13 Finite Volume Method:Some Concept Basics  
  • Mod-01 Lec-14 Finite Volume Method: Boundary Condition Implementation  
  • Mod-01 Lec-15 Finite Volume Method:Discretization of Unsteady State Problems  
  • Mod-01 Lec-16 Important Consequences of Discretization of Unsteady State Problems  
  • Mod-01 Lec-17 Important Consequences of Discretization of Time Dependent Diffusion  
  • Mod-01 Lec-18 Discretization of Hyperbolic Equations: Stability Analysis  
  • Mod-01 Lec-19 PART1:Stability of Second Order Hyperbolic Equations  
  • Mod-01 Lec-20 PART 1: Mid-Semester Assessment Review (Questions and Answers) (Contd.)  
  • Mod-01 Lec-21 Solution of Systems of Linear Algebraic Equations  
  • Mod-01 Lec-22 Solution of Systems of Linear Algebraic Equations: Elimination Methods  
  • Mod-01 Lec-23 Solution of Systems of Linear Algebraic Equations: Elimination Methods (Contd.)  
  • Mod-01 Lec-24 Elimination Methods: Error Analysis  
  • Mod-01 Lec-25 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations  
  • Mod-01 Lec-26 Iterative Methods for Numerical Solution of Systems of Linear Algebraic Equations  
  • Mod-01 Lec-27 Iterative Methods: Further Examples  
  • Mod-01 Lec-28 PART1:Combination of Iteration & Elimination Techniques  
  • Mod-01 Lec-29 Gradient Search Methods (Contd.)  
  • Mod-01 Lec-30 Discretization of Convection-Diffusion Equations: A Finite Volume Approach  
  • Mod-01 Lec-31 Discretization of Convection-Diffusion Equations: A Finite Volume Approach (Contd.)  
  • Mod-01 Lec-32 Discretization of Convection- Diffusion Equations: A Finite Volume Approach (Contd.)  
  • Mod-01 Lec-33 Discretization of Convection -Diffusion Equations: A Finite Volume Approach (Contd.)  
  • Mod-01 Lec-34 Discretization of Convection-Diffusion Equations: A Finite Volume Approach ( Contd.)  
  • Mod-01 Lec-35 Discretization of Navier Stokes Equations  
  • Mod-01 Lec-36 Discretization of Navier Stokes Equations ( Contd.)  
  • Mod-01 Lec-37 Discretization of Navier Stokes Equations ( Contd. )  
  • Mod-01 Lec-38 PART 1 : Discretization of Navier Stokes Equations (Contd.)  
  • Mod-01 Lec-39 Unstructured Grid Formulation (Contd.)  
  • Mod-01 Lec-40 What is there in implementing a CFD Code  
  • Mod-01 Lec-41 Introduction to Turbulence Modeling  
  • Mod-01 Lec-42 Introduction to Turbulence Modeling (Contd.)  
  • Mod-01 Lec-43 End Semester Questions Review
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