Tuesday Thursday 2:00-3:15 PM; ESBL
Room 201
SYLLABUS
MAE 633 Computational Fluid Dynamics and Heat Transfer
CRN 88705
Instructor: Dr. Ismail B. Celik, Professor, Mechanical and Aerospace
Engineering, Engineering Science Building, Room 307
Phone: (304) 293-3209; e-mail: ibcelik@mail.wvu.edu
Text Book(s):
Versteeg, H. and Malalasekra, W. An Introduction to Computational Fluid
Dynamics: The Finite Volume method (2nd edition), Publisher: Pearson/Prentice Hall
Ferziger, J.H. and Peric, M. (1995) Computational Methods for Fluid Dynamics,
Springer-Verlag, New York.
Patankar, S.V. (1980) Numerical Heat Transfer and Fluid Flow, Taylor and
Francis, New York.
Celik, I. B. (2001) Introductory Numerical Methods for Engineering Applications,
Ararat Books & Publishing, Morgantown, WV (USA); ISBN: 0-9713403-0-7
Description: The course is an intermediate level graduate course on computational fluid
dynamics (CFD) primarily based upon finite difference and finite volume methods
applied to fluid flow and heat transfer problems in engineering. The students will have
access to the computer codes such as DREAM, IBC_2D_ML, Ansys_Fluent. They will
also develop their own programs for solving fairly complex fluid dynamics problems such
as boundary layer development around an airfoil, heat conduction in composite materials,
heat and contaminant transport in a given flow-field, and recirculating flow in rectangular
enclosures.
Who should take it? Students who have interest in solution of differential equations
using computers, and who seek easy and fast solutions to complex fluid flow and heat
transfer problems. The course is also recommended for engineers who want to apply
commercial CFD codes to industrial problems.
Pre/Co - Requisite:
MAE 532 (old 361): Dynamics of Viscous Fluids or equivalent,
and knowledge of computer programming. (MAE 532 could be waived under special
circumstances)
Grading: Home Assignments (25%), Midterm Exam (25%), Term Project (25%), and
Final Exam (25%)
Contents:
(0) A brief overview of differential equations and simple finite difference
techniques.
(i) Introduction: The role of computational fluid dynamics in engineering
applications and research. Review of partial differential equations and finite differencing
schemes. Solution of one-dimensional transient transport equations(i.e. Euler equations).
Linearization of equations and iterative solutions. Solution of linear system of equations.
(ii) Governing Equations: Equations of motion, Navier-Stokes Equations,
Introduction to turbulence modeling, generalized transport equations, and model
equation.
(iii) Control volume approach, generalized hybrid scheme, solution of the flow
filed, pressure coupling in incompressible flows, staggered grids, SIMPLE, SIMPLER
and the related algorithms.
(iv) Advanced finite differencing schemes, their properties, comparison, and
applications in shock capturing using MacCormack method, Flux Corrected Transport
(FCT), and Total Variation Diminishing (TVD) schemes, and various other methods such
as multigrid techniques.
(v) Illustration by worked examples, the variety and the complexity of possible
applications of CFD.
Other References:
Anderson, J. D. Jr. (1995) Computational Fluid Dynamics, McGraw-Hill Inc., New York.
Anderson, D.A., Tannehill, J.C. and Pletcher, R.H. (1984) Computational Fluid
Mechanics and Heat Transfer, Hemisphere Publishing Corp., Washington D.C., USA
Briggs, W.L. (1987) A Multigrid Tutorial, Society for Industrial and Applied
Mathematics, Philadelphia, Pennsylvania, USA
Celik, I.B. (2001) Introductory Numerical Methods for Engineering Applications, Ararat
Books & Publishing, Morgantown WV, ISBN: 0-9713403-0-7
Celik, I., Chen,C.J., Roache, P.J., and Scheuerer, G. (1993) Quantification of Uncertainty
in Computational Fluid Dynamics, ASME Fluids Engineering Division, FED-Vol. 158.
Ferziger, J.H. and Peric, M. (1995) Computational Methods for Fluid Dynamics,
Springer-Verlag, New York.
Finlayson, B.A. (1992) Numerical Methods for Problems with Moving Fronts, Ravenna
Park Publishing, Inc., Seattle, Washington, USA
Fletcher, C.A.J. (1991) Computational Techniques for Fluid Dynamics Vols. I&II,
Springer-Ferlag, Berlin, F.R. Germany.
Hirsh, C. (1990) Numerical Computation of Internal and External Flows, Volumes 1&2,
Wiley, New York.
Hoffmann, K.A. and Chiang, S.T. (1993) Computational Fluid Dynamics For Engineers
Vol. I&II, Engineering Education System, P.O. Box 20078, Wichita, KS 67208-1078,
USA
Jaluria, Y. and Torrance, K.E. (1986) Computational Heat Transfer, Hemisphere
Publishing Corp., Washington D.C., USA
Kays, W.M. (1966) Convective Heat Transfer, McGraw-Hill, New York, USA
Launder, B.E. and Spalding, D.B. (1972) Lectures in Mathematical Models of
Turbulence, Academic Press, London, UK.
Patankar, S.V. (1980) Numerical Heat Transfer and Fluid Flow, McGraw-Hill Book
Company, New York, USA
Rodi, W. (1980) Turbulence Models and Their Applications: A state-of-the-art review,
International Association of Hydraulic Research, Delft, The Netherlands.
Roache, P.J. (1982) Computational Fluid Dynamics, Hermosa Publishers, Albuquerque,
NM, USA
Roache, P.J. (1998) Verification and Validation in Computational Science and
Engineering, Hermosa Publishers, , Albuquerque, NM, 87119-9110, USA
Roache, P.J. (1998) Fundamentals of Computational Fluid Dynamics, Hermosa
Publishers, , Albuquerque, NM, 87119-9110, USA
Schlichting, H. (1968) Boundary-Layer Theory, McGraw-Hill, New York, USA
Shih, T.M. (1984) Numerical Heat Trasnfer, Hemisphere Publishing Corp., New York,
USA
Shyy, W., Takur, S.S., Ouyang, H., Liu, J., and, Blosch, E. (1997) Computational
Techniques for Complex Transport Phenomena, Cambridge University Press.
Spalding, D.B. and Patankar, S.V. (1970) Heat and Mass Transfer in Boundary Layers,
Intertext, London, UK.
White, F.M. (1974) Viscous Fluid Flow, McGraw-Hill, New York, USA.