'Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations. ' Video Lecture

Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations.

  • Course: Computational Fluid Dynamics
  • Discipline: Chemical Engineering
  • Faculty: Prof. Sreenivas Jayanti
  • Institute: IIT Madras

    • Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations. - Click on the Video Link shown below to play the video on Youtube. Browse through Computational Fluid Dynamics (Chemical Engineering) Video Lectures by Prof. Sreenivas Jayanti from IIT Madras through NPTEL.

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    Course Video Lectures Motivation for CFD and Introduction to the CF.. Illustration of the CFD approach through a wo.. Eulerian approach, Conservation Equation, Der.. Forces acting on a control volume; Stress ten.. Kinematics of deformation in fluid flow; Stre.. Equations governing flow of incompressible fl.. Equations for some simple cases; Generic scal.. cut out the first 30s; Spatial discretization.. Finite difference approximation of pth order.. One -sided high order accurate approximations.. Numerical solution of the unsteady advection .. Need for analysis of a discretization scheme;.. Statement of the stability problem; von Neuma.. Consistency and stability analysis of the uns.. Interpretation of the stability condition; St.. Template for the generic scalar transport equ.. Illustration of application of the template u.. Stability limits of MacCormack scheme; Limita.. Artificial compressibility method and the st.. Pressur e equation method for the solution of.. Pressure-correction approach to the solution .. Need for effici ent solution of linear algebr.. Direct methods for linear algebraic equations.. Gauss-Jordan method; LU decomposition method;.. Basic iterative methods for linear algebraic .. Convergence analysis of basic iterative schem.. Application to the Laplace equation Advanced iterative methods: Alternating Direc.. Advanced iterative methods; Strongly Implici.. Illustration of the Multigrid method for the .. Overview of the approach of numerical solutio.. Derivation of the energy conservation equati.. Derivation of the species conservation equat.. Turbulence; Characteri stics of turbulent flo.. Derivation of the Reynolds -averaged Navier .. Reynol ds stresses in turbulent flow; Time an.. One-equation model for turbulent flow Two -equation model for turbulent flow; Nume.. Calculation of near-wall region in turbulent .. Need for special methods for dealing with irr.. Transformation of the governing equations; Il.. Finite vol ume method for complicated flow do.. Finite volume method for the general case Generation of a structured grid for irregular.. Unstructured grid generation; Domain nodaliz.. Delaunay triangulation method for unstructure.. Co -located grid approach for irregular geome..
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