'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

    • NEXT LECTURE >> Direct methods for linear algebraic equations; Gaussian elimination method
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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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