BY4019 Computational Methods in Fluid Dynamics Syllabus:
BY4019 Computational Methods in Fluid Dynamics Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES:
To educate the importance of performing calculations pertaining to processes and operations.
To apply fluid mechanics principles to applied problems.
To apply Thermodynamics principles involved in flow computation process.
To educate the importance of turbulent flow computation study
To apply the principles involved in Finite Element formulation methods.
UNIT I GOVERNING EQUATIONS
Fluid flow and its mathematical descriptions; conservation laws – Continuity equations – Momentum equation, energy equation – Navier-Stokes equations – Boundary conditions, Solutions of Governing Equations – Finite difference method, Finite element method, Finite Volume Method, Euler’s Equations – Non-Newtonian Constitutive Equations – Curvilinear coordinates and Transformed equations – CFD as Research tool and Design tool – Validation Strategies.
UNIT II NUMERICAL ANALYSIS
Solving System of Algebraic equations – Gauss Elimination, Gauss-Seidel – LU-Decomposition – Jacobi – Simpson Rule – Laplace solution – Euler’s method – R-K method – Fourier analysis of first and second upwind.
UNIT III COMPRESSIBLE FLOW COMPUTATION
Euler equations – Conservative and non-conservative from thermodynamics of compressible flow – Scalar conservations laws – Conservation – Weak solutions – Non-uniqueness – Entropy conditions – Godunov methods – Flux vector splitting Method – Reconstruction of dependent variables – Fluxes – Preconditioning of low speed Flows – Projection methods.
UNIT IV TURBULENT FLOW COMPUTATION
Physical Considerations – Survey of theory and models – Relation of High – Resolution Methods and Flow Physics – Large Eddy Simulation – Standard and Implicit – Numerical Analysis of Sub grid Models – ILES Analysis – Explicit Modeling – Implicit Modeling – Limiters – Energy Analysis – Computational Examples – Burgers’ Turbulence – Convective Planetary Boundary Layer.
UNIT V FINITE ELEMENT METHOD
Finite Element formulation – Errors, Solutions of Finite difference equations – Elliptic equations – Parabolic Equations – Hyperbolic Equations – Burger’s Equations – Nonlinear Wave equation (Convection Equation) – Primitive Variable method for Incompressible viscous flows; Taylor Galerkin Method and Pertov-Galerkin Method for Compressible Flows.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
After completion of the course the students will be able to
CO1 Solve problems related to units and conversions and fit the given data using the Methodologies
CO2 Solve problems related to material and energy balance concepts and design reactors for biochemical processes
CO3 Apply their knowledge in the field of biochemical engineering from the principles of thermodynamics.
CO4 Acquire knowledge related to fluid statics and dynamics, agitators and applications of various pumps.
CO5 Apply the principles involved in Finite Element formulation methods.
REFERENCES
1. Blazek, J., “Computational Fluid Dynamics: Principles and Applications”, Elsevier Publications, 2005.
2. Cebeci, T., Shao, J.P., Kafyeke, F. and Laurendeau, E., “Computational Fluid Dynamics for Engineers”, Springer – Horizons Publishing Inc., 2005.
3. Drikakis, D. and Rider, W.J., “High – Resolution Methods for Incompressible and LowSpeed Flows”, Springer-Verlag Berlin Heidelberg, 2005.
4. Knight, D.D., “Elements of Numerical Methods for Compressible Flows Cambridge” University Press, 2006.