CAE334 Computational Fluid Dynamics Syllabus:
CAE334 Computational Fluid Dynamics Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
• Understand the basic flow equations, characteristics of mathematical models for a given flow.
• Know the importance and significance of panel methods
• Familiarize with Finite Volume techniques in Computational fluid analysis.
• To learn the concepts of time dependent methods
• To acquire the knowledge in both structures and unstructured grid generation.
UNIT I FUNDAMENTAL CONCEPTS
Introduction – Basic Equations of Fluid Dynamics – Mathematical properties of Fluid Dynamics Equations – Elliptic, Parabolic and Hyperbolic equations – Well posed problems – discretization of partial Differential Equations – Transformations and grids – Explicit finite difference methods of subsonic, supersonic and viscous flows.
UNIT II GRID GENERATION
Need for grid generation – Various grid generation techniques – Algebraic, conformal and numerical grid generation – importance of grid control functions – boundary point control – orthogonality of grid lines at boundaries – Elliptic grid generation using Laplace’s equations for geometries like aerofoil and CD nozzle.
UNIT III PANEL METHODS
Elements of two and three-dimensional panels, panel singularities – Application of panel methods to incompressible, compressible, subsonic and supersonic flows – Numerical solution of flow over a cylinder using 2D panel methods using both vertex and source panel methods for lifting and nonlifting cases respectively.
UNIT IV TIME DEPENDENT METHODS
Stability of solution – Explicit methods – Time split methods – Approximate factorization scheme – Unsteady transonic flow around aerofoils – Sometime dependent solutions of gas dynamic problems – Numerical solution of unsteady 2D heat conduction problems using SLOR methods.
UNIT V FINITE VOLUME TECHNIQUES
Finite Volume Techniques – Cell Centred Formulation – Lax-Vendoroff Time Stepping – RungeKutta Time Stepping – Multi-stage Time Stepping – Accuracy – Cell Vertex Formulation – Multistage Time Stepping – FDM-like Finite Volume Techniques – Central and Up-wind Type Discretization – Treatment of Derivatives.
TOTAL = 45 PERIODS
COURSE OUTCOMES:
On successful completion of this course, the student will be able to
CO1: Explain and calculate the governing equations for fluid flow.
CO2: Explain how grids are generated and conduct a grid-convergence assessment.
CO3: Describe the issues about two-phase flow modelling.
CO4: Apply the concept of discretization, upwind differencing and implicit, explicit solutions.
CO5: Apply finite difference and finite volume methods to fluid flow problems.
TEXT BOOKS:
1. Blazek, J., “Computational Fluid Dynamics: Principles and Applications”, 2nd Ed., Elsevier, 2006.
2. Fletcher, C.A.J., “Computational Techniques for Fluid Dynamics”, Vols. I and II, Springer – Verlag, Berlin, 1998.
REFERENCES:
1. Anderson J. D., “Fundamentals of Aerodynamics”, 5th Ed., McGraw-Hill, 2010.
2. Charles Hirsch, “Numerical Computation of Internal and External Flows”, Vols. I and II. Butterworth-Heinemann, 2nd Ed., 2007.
3. John F. Wendt (Editor), “Computational Fluid Dynamics – An Introduction”, Springer – Verlag, Berlin, 2009.
4. Klaus A Hoffmann and Steve T. Chiang. “Computational Fluid Dynamics for Engineers”, Vols. I & II Engineering Education System, P.O. Box 20078, W. Wichita, K.S., 67208 – 1078 USA, 2000.