Chemical - Computational Fluid Dynamics (English)

   Monday, March 17, 2025   

Starting a new Lecture Notes Series on Material Science - Electroceramics

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Material Science - Electroceramics By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Motivation for CFD and Introduction to the CFD approach

Lecture 2: Mod-01 Lec-02 Illustration of the CFD approach through a worked out example

Lecture 3: Mod-02 Lec-03 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation

Lecture 4: Mod-02 Lec-04 Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation

Lecture 5: Mod-02 Lec-05 Forces acting on a control volume; Stress tensor;

Lecture 6: Mod-02 Lec-06 Kinematics of deformation in fluid flow; Stress vs strain rate relation

Lecture 7: Mod-02 Lec-07 Equations governing flow of incompressible flow;

Lecture 8: Mod-03 Lec-08 Cut out the first 30s; Spatial discretization of a simple flow domain;

Lecture 9: Mod-03 Lec-09 Finite difference approximation of pth order of accuracy for qth order derivative;

Lecture 10: Mod-03 Lec-10 One-sided high order accurate approximations,Explicit and implicit formulations

Lecture 11: Mod-03 Lec-11 Numerical solution of the unsteady advection equation using different finite.

Lecture 12: Mod-03 Lec-12 Need for analysis of a discretization scheme; Concepts of consistency

Lecture 13: Mod-03 Lec-13 Statement of the stability problem

Lecture 14: Mod-03 Lec-14 Consistency and stability analysis of the unsteady diffusion equation

Lecture 15: Mod-03 Lec-15 Interpretation of the stability condition,Stability analysis of the generic scalar equ

Lecture 16: Mod-04 Lec-16 Template for the generic scalar transport equation and its extension to the solution

Lecture 17: Mod-04 Lec-17 Illustration of application of the template using the MacCormack scheme

Lecture 18: Mod-04 Lec-18 Stability limits of MacCormack scheme

Lecture 19: Mod-04 Lec-19 Artificial compressibility method and the streamfunction-vorticity method

Lecture 20: Mod-04 Lec-20 Pressur e equation method for the solution of NS equations

Lecture 21: Mod-04 Lec-21 Pressure-correction approach to the solution of NS equations on a staggered grid

Lecture 22: Mod-05 Lec-22 Need for effici ent solution of linear algebraic equations

Lecture 23: Mod-05 Lec-23 Direct methods for linear algebraic equations; Gaussian elimination method

Lecture 24: Mod-05 Lec-24 Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm

Lecture 25: Mod-05 Lec-25 Basic iterative methods for linear algebraic equations: Description of point -Jacobi

Lecture 26: Mod-05 Lec-26 Convergence analysis of basic iterative schemes,Diagonal dominance condition

Lecture 27: Mod-05 Lec-27 Application to the Laplace equation

Lecture 28: Mod-05 Lec-28 Advanced iterative methods: Alternating Direction Implicit Method; Operator splitting

Lecture 29: Mod-05 Lec-29 Advanced iterative methods,Strongly Implicit Procedure,Conjugate gradient method

Lecture 30: Mod-05 Lec-30 Illustration of the Multigrid method for the Laplace equation

Lecture 31: Mod-06 Lec-31 Overview of the approach of numerical solution of NS equations for simple domains

Lecture 32: Mod-06 Lec-32 Derivation of the energy conservation equation

Lecture 33: Mod-06 Lec-33 Derivation of the species conservation equation; dealing with chemical reactions

Lecture 34: Mod-06 Lec-34 Turbulence,Characteri stics of turbulent flow,Dealing with fluctuations

Lecture 35: Mod-06 Lec-35 Derivation of the Reynolds -averaged Navier -Stokes equations

Lecture 36: Mod-06 Lec-36 Reynol ds stresses in turbulent flow,Time and length scales of turbulence

Lecture 37: Mod-06 Lec-37 One-equation model for turbulent flow

Lecture 38: Mod-06 Lec-38 Two -equation model for turbulent flow; Numerical calculation of turbulent

Lecture 39: Mod-06 Lec-39 Calculation of near-wall region in turbulent flow; wall function approach

Lecture 40: Mod-07 Lec-40 Need for special methods for dealing with irregular fl ow geometry

Lecture 41: Mod-07 Lec-41 Transformation of the governing equations; Illustration for the Laplace equation

Lecture 42: Mod-07 Lec-42 Finite volume method for complicated flow domain

Lecture 43: Mod-07 Lec-43 Finite volume method for the general case

Lecture 44: Mod-07 Lec-44 Generation of a structured grid for irregular flow domain; Algebraic methods

Lecture 45: Mod-07 Lec-45 Unstructured grid generation,Domain nodalization

Lecture 46: Mod-07 Lec-46 Delaunay triangulation method for unstructured grid generation

Lecture 47: Mod-07 Lec-47 Co -located grid approach for irregular geometries; Pressure correction equations