Applied Computational Fluid Dynamics

ABOUT THE COURSE:The primary goal of this course is to familiarize faculty members, students and researchers with fundamental concepts of Computational Fluid Dynamics (CFD) and enable them to numerically solve fluid flows. This course will primarily cover the basics of flow computations with emphasis on classification of partial differential equations, numerical discretization, stability and convergence of schemes, shock-capturing, and boundary conditions. Various approaches for simulating fluid flows including RANS, LES and DNS will be introduced, and basics of turbulence modeling will be discussed in detail.INTENDED AUDIENCE: UG and PG students in chem/mech/civil/aerospace engg. departmentsPREREQUISITES: Fluid Mechanics, Thermodynamics, Numerical MethodsINDUSTRY SUPPORT: HAL, NAL, ISRO, DRDO and Private Automobile and Aerospace Industries (Airbus, Boeing, Tata Motors etc.)

Week 1:Review of Basic Fluid Mechanics & ThermodynamicsWeek 2:Forms of Compressible Navier-Stokes Equations, Non-dimensionalizationWeek 3:Classification of PDEs, Model Elliptic, Parabolic and Hyperbolic EquationsWeek 4:Finite Difference Method: Explicit and Implicit SchemesWeek 5:Numerical Solutions of Model equationsWeek 6:Numerical Schemes: Consistency, Stability and ConvergenceWeek 7:Upwind Schemes, Shock-capturing Schemes, Compact SchemesWeek 8:Boundary ConditionsWeek 9:Introduction to Finite Volume MethodWeek 10:Numerical Solution of Euler and Navier-Stokes Equations, Case StudiesWeek 11:RANS Equations, Turbulence ModelsWeek 12:Introduction to LES, DNS and Hybrid Schemes