Syllabus
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Course Code: *Elective-V MTTH-201 Course Name: Advanced Computational Fluid Dynamics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Introduction: Revision of pre-requisite courses, finite differences and finite volume methods. Turbulence and its modeling: transition from laminar to turbulent flow, descriptors of turbulent flow, characteristics of turbulent flow, effect of turbulent fluctuations on mean flow, turbulent flow calculations, turbulence modeling, Large eddy simulation, Direct Numerical Simulation. |
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| 2 | Finite volume method for convection-diffusion problems: Steady 1-D convection-diffusion,
Conservativeness, Boundedness and Transportiveness, Central, Upwind, Hybrid and Power law schemes,
QUICK and TVD schemes. Pressure - velocity coupling in steady flows: Staggered grid, SIMPLE algorithm, Assembly of a complete method, SIMPLER, SIMPLEC and PISO algorithms, Worked examples of the above algorithms. Finite volume method for unsteady flows: 1-D unsteady heat conduction, Explicit, Crank-Nicolson and fully implicit schemes, Transient problems with QUICK, SIMPLE schemes. |
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| 3 | Implementation of boundary conditions: Inlet, Outlet, and Wall boundary conditions, Pressure boundary
condition, Cyclic or Symmetric boundary condition. Errors and uncertainty in CFD modeling: Errors and uncertainty in CFD, Numerical errors, Input uncertainty, Physical model uncertainty, Verification and validation, Guide lines for best practices in CFD, Reporting and documentation of CFD results. Methods for Dealing with complex geometries: Introduction, body-fitted co-ordinate grids, curvilinear grids, block structured and unstructured grids, discretization in unstructured grids, diffusion and convective term, treatment of source term, assembly of discretized equations, pressure-velocity coupling, extension of face velocity interpolation method to unstructured meshes. |
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| 4 | CFD modeling of combustion: Enthalpy of formation, Stoichiometry, Equivalence ratio, Adiabatic flame
temperature, Equilibrium and dissociation, governing equations of combusting flows, modeling of a laminar
diffusion flame, SCRC model for turbulent combustion, probability density function approach, eddy break up
model. CFD for radiation heat transfer: Governing equations for radiation heat transfer, popular radiation calculation techniques using CFD, The Monte Carlo method, the discrete transfer method, Ray tracing, the discrete ordinates method. |
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