Brian Spalding: CFD and reality - A personal recollection

International Journal of Heat and Mass Transfer

Volumn 52, Issue 17-18, 2009, Pages 4063-4073

  Runchal, Akshai K ^a  

^a Analytic and Computational Research Inc   (United States)

Author keywords

CFD; CFD history; Combustion; Imperial college; Navier Stokes equations; Recirculating flow; Spalding; Turbulence

Indexed keywords

CFD; CFD HISTORY; IMPERIAL COLLEGE; RECIRCULATING FLOW; SPALDING;

COMBUSTION; FLUID DYNAMICS; HELIUM; THERMOCHEMISTRY; TURBULENCE; VISCOUS FLOW;

NAVIER STOKES EQUATIONS;

EID: 67049145759     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2009.03.058     Document Type: Article

References (62)

1. D.B. Spalding, The Combustion of Liquid Fuels, Ph.D. Thesis, Cambridge University, 1951.
2. von Karman T., and Angew Z. Math. Mech. 1 (1921) 233
3. Kruzhilin G. J. Tekh. Phys. (USSR) Col. 3 (1936) 183
4. Eckert E.R.G., and Lieblein V. Forschung 16 (1949) 33
5. Zeldovich Y.B., and Frank-Kamenetskiy V.A. J. Phys. Chem. (USSR) 12 (1938) 100
6. Semenov N.N. Progress. Phys. Sci. (USSR) 24 (1940) 433
7. Spalding D.B. Some Fundamentals of Combustion (1955), Butterworths, London
8. Spalding D.B. Predicting the laminar flame speed in gases with temperature-explicit reaction rates. Combust. Flame 1 3 (1957) 296-307
9. Botha J.P., and Spalding D.B. The laminar flame speed of propane-air mixtures with He at-extraction from the flame. Proc. Roy. Soc. A 225 (1954) 71-96
10. D.B. Spalding, Analogue for high-intensity steady-flow combustion phenomena, in: Proc. I. Mech. E. London, [171], vol. 10, 1957, pp. 383-411.
11. Spalding D.B. Convective Mass Transfer: An Introduction (1963), Edward Arnold (Publishers) Ltd., London
12. Spalding D.B. A single formula for the law of the wall. Trans. ASME Series A, J. Appl. Mech. 28 3 (1961) 444-458
13. D.B. Spalding, A Unified Theory Of Friction, Heat Transfer And Mass Transfer In The Turbulent Boundary Layer And Wall Jet, UK Aeronautical Research Council Report, ARC 25 925, March, 1964.
14. Morton B.R., Taylor G.I., and Turner J.S. Turbulent gravitational convection from maintained and instantaneous sources. Proc. Roy. Soc. A 234 (1956) 1-23
15. Escudier M.P., and Nicoll W.B. The entrainment function in turbulent-boundary-layer and wall-jet calculations. J. Fluid Mech. 25 (1966) 337-366
16. C.L.V. Jayatilllaka, The Influence of Prandtl Number and Surface Roughness on the Resistance of the Laminar Sub-Layer to Momentum and Heat Transfer, Ph.D. Thesis, Imperial College, London University, London, UK, 1966.
17. M.P. Escudier, The Turbulent Incompressible Hydrodynamic Boundary Layer, Ph.D. Thesis, Imperial College, London University, UK, 1967.
18. A. Thom, An Investigation of Fluid Flow in Two Dimensions, Aerospace Research Council, United Kingdom, R&M No. 1194, 1928.
19. H.Z. Barakat, J.A. Clark, Transient Natural Convection in Flows in Closed Containers, Univ. of Michigan, Mech. Eng. Dept., Heat Transfer Lab, Tech Rep #2, 1965.
20. Courant R., Isaacson E., and Rees M. On the solution of non-linear hyperbolic differential equations by finite-differences. Comm. Pure Appl. Math. 5 (1952) 243-255
21. Burggraf O.R. Analytical and numerical studies of steady separated flows. J. Fluid Mech. 24 (1966) 113-151
22. A.K. Runchal, Three finite - difference methods for Navier-Stokes equations. in: Proc. 2nd Applied Mechanics Conference, Univ. of Strathclyde, Glasgow, 1967.
23. Runchal A.K., and Wolfshtein M. Numerical integration procedure for the steady-state Navier-Stokes equations. J. Mech. Eng. Sci. II 5 (1969) 445-453
24. Wolfshtein M. Numerical smearing in one sided difference approximations to the equations of non viscous flow. EF/TN/3. Dept. of Mech. Eng. (1968), Imperial College, London
25. Spalding D.B. A novel finite-difference formulation for differential expressions involving both first and second derivatives. Int. J. Num., Methods Eng. 4 (1972) 551-559
26. Runchal A.K. Convergence and accuracy of three finite difference schemes for a two dimensional conduction and convection problem. Int'l. J. Num. Methods Eng. 4 (1972) 540-550
27. M. Wolfshtien, Turbulent Convection in Impinging Jets, Ph.D. Thesis, Imperial College, London University, London, UK, 1968.
28. A.K. Runchal, Transport Processes in Steady Two-Dimensional Separated Flows, Ph.D. Thesis, Imperial College of Science and Technology, London, UK, 1969.
29. Gosman A.D., Pun W.M., Runchal A.K., Spalding D.B., and Wolfshtein M. Heat and Mass Transfer in Recirculating Flows (1969), Academic Press, London
30. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow with free-surface. Phys. Fluids 8 12 (1965) 2182-2189
31. Chorin A.J. The numerical solution of the Navier-Stokes equations for an incompressible fluid. Bull. Am. Math. Soc. 73 6 (1967) 928-931
32. S.V. Patankar, Heat and Mass Transfer In Turbulent Boundary Layers, Ph.D. Thesis, Imperial College, London University, UK, 1967.
33. Patankar S.V., and Spalding D.B. Heat and Mass Transfer in Boundary Layers (1967), Morgan-Grampian, London
34. Patankar S.V., and Spalding D.B. A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat Mass Transfer 15 (1972) 1787
35. Kolmogorov A.N. Equations of motion of an incompressible turbulent fluid. Izv. Akad. Nauk. SSSR Ser. Phys. VI 1-2 (1942) 56
36. Prandtl L. Ueber Ein Neues Formelsystem fuer die Ausgebildete Turbulenz. Nachr. Akad. Wiss. Goettingen (1945)
37. Chou P.Y. On the velocity correlations and the solution of equations of turbulence fluctuations. Quart. Appl. Math. 3 (1945) 38
38. J.C. Rotta, Statistische Theorie Nichthomogener Turbulenz, Zeitschrift fur Physik, [129], 1951, 547-572. and vol. 131, pp. 51-77 [Translated into English by W. Rodi as Imperial College Mech. Eng. Dept. Tech. Notes TWF/TN/38 and TWF/TN/39].
39. F.H. Harlow, P.I. Nakayama, Transport of Turbulence Energy Decay Rate, LA-3854, Los Alamos Scientific Laboratory, University of California, 1968.
40. Raithby G.D. Skew-upstream differencing schemes for nearly steady problems involving fluid flow. Comput. Methods Appl. Mech. Eng. 9 (1976) 153-164
41. Caretto L.S., Curr R.M., and Spalding D.B. Two numerical methods for three-dimensional boundary layers. Comput. Methods Appl. Mech. Eng. 1 1 (1972) 39-57 (June)
42. Vanka P. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. J. Comput. Phys. 65 1 (1986) 138-158
43. A.K. Runchal, A Non-Staggered Finite-Difference Procedure for 3D Primitive Variable Navier-Stokes Equations and a Concise Notation for Difference Schemes, Technical Note: 3D-Duct Flow Group, 15 July, 1971, Mech. Eng. Dept., Imperial College, London, 1971.
44. Rhie C.M., and Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 11 (1983) 1525-1532
45. Hirt C.W. Heuristic stability theory for finite-difference equations. J. Comput. Phys. 2 4 (1968) 339-355
46. P.G. Saffman, Development of a Complete Model for the Calculation of Turbulent Shear Flows, Symposium on Turbulence and Dynamical Systems, Duke Univ., Durham, NC, April, 1976.
47. Wilcox D.C. Turbulence Modeling for CFD. third ed. (2006), DCW Industries, Inc., La Canada, California-91011
48. Spalding D.B. Numerical computation of multi-phase flow and heat transfer. In: Taylor C. (Ed). Recent Advances in Numerical Methods in Fluids (1980), Pineridge Press
49. D.B. Spalding, A simple method of calculating distances from and gaps between the walls of solid bodies, poster session. Int. Heat Transfer Conf., Inst. Chem. Eng. London, 1994.
50. O.J. Ilegbusi, D.B. Spalding, A two-fluid model of turbulence and its application to near-wall flows, Physicochem. Hydrodyn. 9 (1/2) (1987) 127-160.
51. D.B. Spalding, Multi-fluid Models of Turbulent Combustion, CTAC95 Biennial Conference, Melbourne, Australia, published by World Scientific Publishing Co, 1996, pp. 59-81.
52. D.B. Spalding, PHOENICS Encyclopedia, Article on Radiation Models in PHOENICS, Section on IMMERSOL, 1996.
53. D.B. Spalding, Unifying two fields of Computational Mechanics: Solid and Fluid, Invited Lecture at International Symposium on Science and Society, St. Petersburg, Russia, 2005.
54. Roache P.J. Computational Fluid Dynamics (1972), Hermosa Publishers
55. J. von Neumenn, Proposal for Analysis of Numerical Method for the Treatment of Hydrodynamical Shock Problems, National Defense and Research Com., Report AM-551, March1944.
56. Southwell R.V. Relaxation Methods in Theoretical Physics (1946), Oxford University press, New York
57. Edwards A.L. TRUMP: a computer program for transient and steady-state temperature distributions in multi-dimensional systems. Lawrence Radiation Laboratory (1968), Univ. of California, Livermore, California, UCRL 14754
58. Davidov B.I. On the statistical dynamics of an incompressible turbulent fluid. Dokl. AN SSR 136 1 (1961) 47-50
59. K. Hanjalic, Two Dimensional Asymmetrical Turbulent Flow in Ducts, Ph.D. Thesis, Imperial College, London University, UK, 1970.
60. Jones W.P., and Launder B.E. The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transfer 15 (1972) 301-314
61. Launder B.E., and Spalding D.B. Mathematical Models of Turbulence (1972), Academic Press
62. Launder B.E., and Spalding D.B. Computational Methods for Turbulent Flows. Comp. Meth. Appl. Mech. Eng. 3 (1974) 269-289