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Anna Computational Fluid Dynamics for Aeronautical Applications Sem-VII
No Units Titles Sub Titles Chapters
1 Unit 1 Introduction to numerical method in fluid dynamics Introduction to numerical fluid dynamics - Introduction to governing equations of fluid dynamics and modeling of fluid flow - The substantial derivative and the physical meaning of divergence of a vector, Boundary conditions for various types of fluid flow conditions - Introduction to Introduction to numerical fluid dynamics - Introduction to governing equations of fluid dynamics and modeling of fluid flow - The substantial derivative and the physical meaning of divergence of a vector, Boundary conditions for various types of fluid flow conditions - Introduction to VIEW CHAPTERS
2 Unit 2 Grid generation Introduction to grid generation in computational fluid dynamics - Structured grid generation techniques - algebraic methods, conformal mapping and methods using partial differential equations - Basic ideas in numerical grid generation and mapping - Boundary value problem of numerical grid generation- grid control functions- branch cut - The boundary conditions of first kind - orthogonality of grid lines- boundary point grid control VIEW CHAPTERS
3 Unit 3 Solution of fluid flow equations Introduction to boundary layer equations and their solution - Description of Prandtl's boundary layer equations and the hierarchy of the boundary layer equations - Transformation of boundary layer equations and the numerical solution method - Choice of discretization model and the generalized Crank-Nicholson scheme - Discretization of the boundary layer equations and illustration of solution of a tridiagonal system of linear algebraic equations - Solution methods for elliptic, parabolic and hyperbolic equations VIEW CHAPTERS
4 Unit 4 Time dependent methods Introduction to time dependent methods - Explicit time dependent methods - Euler, Backward Euler, One step trapezoidal, Backward differencing, two-step trapezoidal, Leap Frog and Adams-Bashforth Methods - Description of Lax-Wendroff Scheme and Mac Cormack's two step predictor - corrector method - Description of time split methods, Introduction to implicit methods and respective stability properties of explicit and implicit methods - Construction of implicit methods for time dependent problems - Linearization, choice of explicit operator and numerical dissipation aspects VIEW CHAPTERS
5 Unit 5 Finite volume method Introduction to Finite volume Method - Different Flux evaluation schemes, central, upwind and hybrid schemes - Staggered grid approach - Pressure-Velocity coupling - SIMPLE, SIMPLER algorithms- pressure correction equation (both incompressible and compressible forms) - Application of Finite Volume Method for 1-D and 2-D problems VIEW CHAPTERS
 
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