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Course Contents

Main issues of space time resolution: Computing time averaged and unsteady problems. Discretization with operators. Problems in physical and transformed plane: Jacobians and flux vector splitting. Generalized transformation & grid generation techniques: Orthogonal & Chimera grids application to FIV/aero elasticity problems. Spectral tools of analysis for discrete schemes: FDM, FVM& FEM. High order and high accuracy schemes of FDMs and FVMs. Design of Dispersion Relation Preservation schemes. Aliasing error & its alleviation. High accuracy methods for DN Sand LES. SGS models for LES and their connection to higher order up winding. Computing equations with discontinuous solutionsand Gibbs phenomenon. Applications to incompressible viscous and compressible flows. DNS of turbulence and acoustic problems. 

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