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2020 | OriginalPaper | Chapter

Brian Spalding: Some Contributions to Computational Fluid Dynamics During the Period 1993 to 2004

Author : Michael R. Malin

Published in: 50 Years of CFD in Engineering Sciences

Publisher: Springer Singapore

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Abstract

This paper describes some contributions to Computational Fluid Dynamics (CFD) made by Professor Brian Spalding whilst working at Concentration Heat and Momentum Limited (CHAM) during the period 1993–2004. The discussions focus principally on those areas with which the author had been directly involved with Brian and colleagues at CHAM. Some of the material is now well known in the field, and some not, but familiar material is not submitted as a new or original contribution, but rather to provide examples of Brian’s unique approach to solving practical CFD problems and to explain their origin. The following areas of work are described together with their influence in the field, where this is appropriate: the differential-equation wall-distance calculator; the LVEL model of turbulence; the IMMERSOL model of thermal radiation; virtual mass modelling in Eulerian–Eulerian descriptions of two-phase flow; a space-marching method for hyperbolic and transonic flow; and an automatic convergence-promoting algorithm for SIMPLE-based CFD codes.

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next chapter Some Observations on Thermodynamic Basis of Pressure Continuum Condition and Consequences of Its Violation in Discretised CFD

Spalding, D. B. (1981). A general-purpose computer program for multi-dimensional one- and two-phase flow. Mathematics and Computers in Simulation, 23, 267–276.CrossRef

Patankar, S. V., Pollard, A., Singhal, A. K., & Vanka, S. P. (1983). Numerical prediction of flow, heat transfer, turbulence and combustion: selected works of Professor D. Brian Spalding. Oxford: Pergamon Press.

Artemov, V., Escudier, M. P., Fueyo, N., Launder, B. E., Leonardi, E., Malin, M. R., et al. (2009). A tribute to D.B. Spalding and his contributions in science and engineering. International Journal of Heat and Mass Transfer, 52, 3884–3905.MATH

Runchal, A. K. (2009). Brian Spalding: CFD and reality—A personal recollection. International Journal of Heat and Mass Transfer, 52, 4063–4073.MATHCrossRef

Runchal, A. K. (2013). Emergence of computational fluid dynamics at Imperial College (1965–1975): A personal recollection. ASME Journal of Heat Transfer, 135(1), 011009-1.

Runchal, A. K.(2017). Origins and development of the finite volume CFD method at Imperial College. In CHT-17, 29 May–2 June, Naples, Italy.

Launder, B. E., Patankar, S. V., & Pollard, A. (2019). Dudley Brian Spalding. 9 January 1923–27 November 2016. Biographical Memoirs of Fellows of the Royal Society, 66, Article ID: 20180024.

Spalding, D. B. (1993). A turbulence length-scale formulation. CHAM Technical Note 4/9/93, CHAM, Wimbledon, London.

Spalding, D. B. (1994). Calculation of turbulent heat transfer in cluttered spaces. Presented at the 10th International Heat Transfer Conference, Brighton, UK.

10.

Tucker, P. G. (1998). Assessment of geometric multilevel convergence robustness and a wall distance method for flows with multiple internal boundaries. Applied Mathematical Modelling, 22, 293–311.MATHCrossRef

11.

Fares, E., & Schroder, W. A. (2002). Differential equation to determine the wall distance. International Journal for Numerical Methods in Fluids, 39, 743–762.MathSciNetMATHCrossRef

12.

Tucker, P. G. (2003). Differential equation-based wall distance computation for DES and RANS. Journal of Computational Physics, 190(1), 229–248.MATHCrossRef

13.

Tucker P. G, Rumsey, C. L, Bartels R. E., & Biedron R. T. (2003). Transport equation-based wall distance computations aimed at flows with time-dependent geometry. NASA TM-2003-212680, December.

14.

Tucker, P. G., Rumsey, C. L., Spalart, P. R., Bartels, R. E., & Biedron, R. T. (2005). Computations of wall distances based on differential equations. AIAA Journal, 43(3), 539–549.CrossRef

15.

Tucker, P. G. (2011). Hybrid Hamilton–Jacobi–Poisson wall distance function model. Computers & Fluids, 44, 130–142.MATHCrossRef

16.

Xu, J., Yan, C., & Fan, J. (2011). Computations of wall distances by solving a transport equation. Applied Mathematics and Mechanics, 32(2), 141–150.MathSciNetMATHCrossRef

17.

Belyaev, A. G., & Fayolle, P. A. (2015). On variational and PDE-based distance function approximations. Computer Graphics Forum, 34(8), 104–118.CrossRef

18.

Wukie, N. A., & Orkwis, P. D. (2017). A p-Poisson wall distance approach for turbulence modelling. In AIAA 2017-3945, 23rd AIAA CFD Conference, 5–9 June, Denver, Colorado, USA.

19.

Jefferson-Loveday, R. J. (2017). Differential-equation based specification of turbulence integral length scales for cavity flows. Journal of Engineering for Gas Turbines and Power, 139(6).

20.

Watson, R. A., Trojak, W., & Tucker, P. G. (2018). A simple flux reconstruction approach to solving a Poisson equation to find wall distances for turbulence modelling. In 2018 Fluid Dynamics Conference, AIAA Aviation Forum (AIAA 2018-4261), Atlanta, Georgia.

21.

Boger, D. A. (2001). Efficient method for calculating wall proximity. AIAA Journal, 39(12), 2404–2406.CrossRef

22.

Van der Weide, E., Kalitzin, G., Schluter, J., & Alonso, J. J. (2006). Unsteady turbomachinery computations using massively parallel platforms. In 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2006-0421, Reno, NV.

23.

Roget, B., & Sitataman, J. (2012). Wall distance search algorithm using voxelised marching spheres. In 7th International Conference on CFD (ICCFD7), Big Island, Hawaii, July 9–13.

24.

Lohner, R., Sharov, D., Luo, H., & Ramamurthi, R. (2001). Overlapping unstructured grids. In AIAA 2001-0439, Reno, NV.

25.

Tucker, P. G. (2016). Section 7.6.3 Nearest wall distance. In Advanced computational fluid and aerodynamics. Cambridge: Cambridge University Press.

26.

Agonafer, D., Gan-Li, L., & Spalding, D. B. (1996). The LVEL turbulence model for conjugate heat transfer at low Reynolds numbers. In Proceedings of the EEP Application of CAE/CAD to Electronic Systems, ASME International Mechanical Engineering Congress and Exposition, Atlanta, GA.

27.

Spalding, D. B. (1961). A single formula for the law of the wall. ASME Journal of Applied Mechanics, 28(3), 455–458.MATHCrossRef

28.

Dhinsa, K. K., Bailey, C. J., & Pericleous, K. A. (2004). Turbulence modelling and its impact on CFD predictions for cooling of electronic components. In Proceedings of 9th Intersociety Conference Thermal and Thermomechanical Phenomena in Electronic Systems.

29.

Dhinsa, K. K. (2006). Development and application of low Reynolds number turbulence models for air-cooled electronics. Ph.D. thesis, University of Greenwich, London, UK.

30.

Rodgers, P., Lohan, J., Eveloy, V., Fager, C. M., & Rantala, J. (1999). Validating numerical predictions of component thermal interaction on electronic printed circuit boards in forced convection air flows by experimental analysis. Advanced Electronic Packaging, 1, 999–1008.

31.

Eveloy, V. C. (2003). An experimental assessment of CFD predictive accuracy for electronic component operational temperatures. Ph.D. thesis, Dublin City University, Ireland.

32.

Eveloy, V., Rodgers, P., & Hashmi, M. S. J. (2003). An experimental assessment of computational fluid dynamics predictive accuracy for electronic component operational temperature. In Proceedings of the ASME Heat Transfer Conference, Las Vegas, Nevada, USA, Paper Number HT2003-47282.

33.

Rodgers, P., Eveloy, V., & Davies, M. (2003). An experimental assessment of numerical predictive accuracy for electronic component heat transfer in forced convection: Parts I and II. Transactions of the ASME, Journal of Electronic Packaging, 125(l), 67–83.

34.

Choi, J., Kim, Y., Sivasubramaniam, A., Srebic, J., Wang, Q., & Lee, J. (2008). A CFD-based tool for studying temperatures in rack-mounted servers. IEEE Transactions on Computers, 57(8) 1129–1142.

35.

De Marchi Neto, I., & Altemani, C. A. C. (2017). A matrix to evaluate the conjugate cooling of a heaters’ array. International Journal of Thermal Sciences, 118, 278–291.

36.

Dhoot, P., Healey, C. M., Pardey, Z., & van Gilder, J. W. (2017). Zero-equation turbulence models for large electrical and electronics enclosure applications. LV-17-C078. In ASHRAE Winter Conference, Las Vegas, NV, USA.

37.

Wang, S., & Zu, D. (2003). Application of CFD in retrofitting air-conditioning systems in industrial buildings. Energy and Buildings, 35, 893–902.CrossRef

38.

Favarolo, P. A., & Manz, H. (2005). Temperature-driven single-sided ventilation through a large rectangular opening. Building and Environment, 40, 689–699.CrossRef

39.

Pfeiffer, A., Dorer, V., & Weber, A. (2008). Modelling of cowl performance in building simulation tools using experimental data and computational fluid dynamics. Building and Environment, 43, 1361–1372.CrossRef

40.

Myhren, J. A., & Holmberg, S. (2008). Flow patterns and thermal comfort in a room with panel, floor and wall heating. Energy and Buildings, 40, 524–536.CrossRef

41.

Myhren, J. A., & Holmberg, S. (2009). Design considerations with ventilation-radiators: Comparisons to traditional two-panel radiators. Energy and Buildings, 41, 92–100.CrossRef

42.

Yoo, S.-H., & Manz, H. (2011). Available remodelling simulation for a BIPV as a shading device. Solar Energy Materials and Solar Cells, 95, 394–397.CrossRef

43.

Wang, F., Manzanares-Bennett, A., Tucker, J., Roaf, S., & Heath, N. (2012). Feasibility study on solar-wall systems for domestic heating—An affordable solution for fuel poverty. Solar Energy, 86, 2405–2415.CrossRef

44.

Jurelionis, A., Gagytea, L., Seduikytea, L., Prasauskas, T., Ciuzas, D., & Martuzevicius, D. (2016). Combined air heating and ventilation increases risk of personal exposure to airborne pollutants released at the floor level. Energy and Buildings, 116, 263–273.CrossRef

45.

Mathioulakis, E., Karathanos, V. T., & Belessiotis, V. G. (1998). Simulation of air movement in a dryer by computational fluid dynamics: Application for the drying of fruits. Journal of Food Engineering, 36, 183–200.CrossRef

46.

Tchouveleva, A. V., Cheng, Z., Agranat, V. M., & Zhubrin, S. V. (2007). Effectiveness of small barriers as means to reduce clearance distances. International Journal of Hydrogen Energy, 32, 1409–1415.CrossRef

47.

Hourri, A., Angers, B., Benard, P., Tchouvelev, A., & Agranat, V. (2011). Numerical investigation of the flammable extent of semi-confined hydrogen and methane jets. International Journal of Hydrogen Energy, 36, 2567–2570.CrossRef

48.

Wang, H., Djambazov, G., Pericleous, K. A., Harding, R. A., & Wickins, M. (2011). Modelling the dynamics of the tilt-casting process and the effect of the mould design on the casting quality. Computers & Fluids, 42, 92–101.MATHCrossRef

49.

Wang, H., Wang, S., Wang, X., & Li, E. (2015). Numerical modelling of heat transfer through casting–mould with 3D/1D patched transient heat transfer model. International Journal of Heat and Mass Transfer, 81, 81–89.CrossRef

50.

Chen, C., Jonsson, L. T. I., Tilliander, A., Cheng, G., & Jönsson, P. G. (2015). A mathematical modelling study of the influence of small amounts of KCl solution tracer son mixing in water and residence time distribution of tracers in a continuous flow reactor-metallurgical tundish. Chemical Engineering Science, 137, 914–937.CrossRef

51.

Solhed, H., Jonsson, L., & Jönsson, P. (2002). A theoretical and experimental study of continuous-casting tundishes focusing on slag-steel interaction. Metallurgical and Materials Transactions, B33B(2), 173–185.CrossRef

52.

Solhed, H., Jonsson, L., & Jönsson, P. (2008). Modelling of the steel/slag interface in a continuous casting tundish. Steel Research International, 79(5), 348–357.CrossRef

53.

Artemov, V. I., Minko, K. B., & Yankov, G. G. (2015). Numerical simulation of fluid flow in an annular channel with outer transversally corrugated wall. International Journal of Heat and Mass Transfer, 90, 743–751.CrossRef

54.

Tucker, P. G., & Liu, Y. (2007). Turbulence modelling for flows around convex features giving rapid eddy distortion. International Journal of Heat and Fluid Flow, 28, 1073–1091.CrossRef

55.

Spalding, D. B. (1994). Proposal for a diffusional radiation model for attachment to PHOENICS. CHAM Technical Note 18/10/94, CHAM, Wimbledon, London, UK.

56.

Spalding, D. B. (1996). Radiation in PHOENICS HOTBOX, FLAIR, etc. CHAM Technical Note 4/9/96, CHAM, Wimbledon, London, UK.

57.

Spalding, D. B. (1996). Immersed-solid heat transfer. CHAM Technical Note 11/9/96, CHAM, Wimbledon, London, UK.

58.

Lockwood, F. C., & Shah, N. G. (1981). A new radiation method for incorporation in general combustion prediction procedures. In Proceedings of the 18th International Symposium on Combustion (pp. 1405–1414). London: The Combustion Institute.

59.

Rosseland, S. (1936). Theoretical astrophysics: Atomic theory and the analysis of stellar atmospheres and envelopes. Clarendon Press.

60.

Hamakar, H. C. (1947). Radiation and heat conduction in a light-scattering material. Philips Research Reports, 2, 55–67.

61.

Schuster, A. (1905). Radiation through a foggy atmosphere. Astrophysical Journal, 21, 1–22.CrossRef

62.

Spalding, D. B (1980). Lecture 9, Idealisations of radiation. In Mathematical modelling of fluid-mechanics, heat-transfer and chemical-reaction processes: A lecture course. HTS/80/1, Mech. Eng. Dept., Imperial College, University of London.

63.

Siegel, R., & Howell, J. R. (1992). Thermal radiation heat transfer (3rd ed.). Washington DC, USA: Hemisphere Publishing Corporation.

64.

Eddington, A. (1916). On the radiative equilibrium of the stars. Monthly Notices of the Royal Astronomical Society, 77, 16–35.MATHCrossRef

65.

Marshak, R. E. (1947). Note on the spherical harmonics methods as applied to the Milne problem for a sphere. Physical Review, 71, 443–446.MathSciNetMATHCrossRef

66.

Deissler, R. G. (1964). Diffusion approximation for thermal radiation in gases with jump boundary condition. ASME Journal Heat Transfer, 240–246.CrossRef

67.

Liu, F. M., & Swithenbank, J. (1990). Modelling radiative heat transfer in pulverised coal-fired furnaces. In M. G. Carvalho, F. Lockwood, & J. Taine (Eds.), Heat transfer in radiating and combusting systems. Proceedings of the EUROTHERM (Vol. 17, pp. 358–373). Cascais, Portugal: Springer.

68.

Spalding, D. B. (1995). Modelling convective, conductive and radiative heat transfer. Lecture LE3-1 in Industrial Computational Fluid Dynamics. Lecture Series 1995-03, Von Karman Institute for Fluid Dynamics, Belgium, April 3–7.

69.

Spalding, D. B. (2013). Chapter 1, trends, tricks, and try ons in CFD/CHT, Section 3.1. The IMMERSOL radiation model. In E. M. Sparrow, Y. I. Cho, J. P. Abraham, & J. M. Gorman (Eds.), Advances in heat transfer (Vol. 45, pp. 1–78). Burlington: Academic Press.

70.

Spalding, D. B. (1980). Numerical computation of multi-phase flow and heat transfer. In C. Taylor & K. Morgan (Eds.), Recent advances in numerical methods in fluids (pp. 139–167). Swansea: Pineridge Press.

71.

Spalding, D. B. (2002). PEA for IMMERSOL. CHAM Technical Notes 23/7/02 & 24/07/02, CHAM, Wimbledon, London, UK.

72.

Rasmussen, N. B. K. (2002). The composite radiosity and gap (CRG) model of thermal radiation. In: Proceedings of the 6th European Conference on Industrial Furnaces and Boilers (INFUB-6) 2002 Conference, Estoril, Lisbon, Portugal, 2002. (Also published as Danish Gas Technology Centre Report No. CO201, Hørsholm, Denmark.)

73.

Osenbroch, J. (2006). CFD study of gas dispersion and jet fires in complex geometries. Ph.D. Thesis, The Faculty of Engineering and Science, Aalborg University, Denmark.

74.

Yang, Y., de Jong, R. A., & Reuter, M. (2005). Use of CFD to predict the performance of a heat treatment furnace, In Proceedings of the 4th International Conference on CFD in the Oil and Gas, Metallurgical and Process Industries, Trondheim, Norway (pp. 1–9).

75.

Yang, Y., de Jong, R. A., & Reuter, M. (2007). CFD prediction for the performance of a heat treatment furnace. Progress in Computational Fluid Dynamics, An International Journal, 7(2–4), 209–218.MATHCrossRef

76.

Zhubrin, S. V. (2009). Discrete reaction model for composition of sooting flames. International Journal of Heat and Mass Transfer, 52, 4125–4133.MATHCrossRef

77.

Aloqaily, A. M., & Chakrabarty, A. (2010). Jet flame length and thermal radiation: Evaluation with CFD simulations. In Global Congress on Process Safety. San Antonio, TX: AIChE.

78.

Chakrabarty, A., & Aloqaily, A. (2011). Using CFD to assist facilities comply with thermal hazard regulations such as new API RP-752 recommendations. Hazards XXII, AICheE. Symp. Series No. 156.

79.

Chakrabarty, A., Edel, M., Raibagkar, A., & Aloqaily, A. (2011). Thermal hazard evaluation for process buildings using CFD analysis techniques. In AIChE Annual Meeting, Conference Proceedings (Vol. 29).

80.

Agranat, V., & Perminov, V. (2016). Multiphase CFD model of wildland fire initiation and spread. In Proceedings of the 5th International Fire Behavior and Fuels Conference, April 11–15, Portland, Oregon, USA.

81.

Corbin, C. D., & Zhai, Z. J. (2010). Experimental and numerical investigation on thermal and electrical performance of a building integrated photovoltaic–thermal collector system. Energy and Buildings, 42, 76–82.CrossRef

82.

Chiang, W. H., Wang, C. Y., & Huang, J. S. (2012). Evaluation of cooling ceiling and mechanical ventilation systems on thermal comfort using CFD study in an office for subtropical region. Building and Environment, 48, 113–127.CrossRef

83.

Radhi, H., Fikiry, F., & Sharples, S. (2013). Impacts of urbanisation on the thermal behaviour of new built up environments: A scoping study of the urban heat island in Bahrain. Landscape and Urban Planning, 113, 47–61.CrossRef

84.

Maragkogiannis, K., Kolokotsa, D., Maravelakis, E., & Konstantara, A. (2014). Combining terrestrial laser scanning and computational fluid dynamics for the study of the urban thermal environment. Sustainable Cities and Society, 13, 207–216.CrossRef

85.

Radhi, H., Sharples, S., & Assem, E. (2015). Impact of urban heat islands on the thermal comfort and cooling energy demand of artificial islands—A case study of AMWAJ Islands in Bahrain. Sustainable Cities and Society, 19, 310–318.CrossRef

86.

Zhang, L., Zhang, L., Jin, M., & Liu, J. (2017). Numerical study of outdoor thermal environment in a university campus in summer. Procedia Engineering, 205, 4052–4059.CrossRef

87.

Radhi, H., Sharples, S., & Fikiry, F. (2013). Will multi-facade systems reduce cooling energy in fully glazed buildings? A scoping study of UAE buildings. Energy and Buildings, 56, 179–188.CrossRef

88.

Zhang, L., Jin, M., Liu, J., & Zhang, L. (2017). Simulated study on the potential of building energy saving using the green roof. Procedia Engineering, 205, 1469–1476.CrossRef

89.

Hien, H. N., & Istiadji, A.D. (2003). Effects of external shading devices on daylighting and natural ventilation. In Proceedings of the 8th International IBPSA Conference, Eindhoven, The Netherlands (pp. 475–482).

90.

Vaidya, A. M., Maheshwari, N. K., & Vijayan, P. K. (2010). Estimation of fuel and clad temperature of a research reactor during dry period of de-fueling operation. Nuclear Engineering and Design, 240, 842–849.CrossRef

91.

Kuriyama, S., Takeda, T., & Funatani, S. (2015). Study on heat transfer characteristics of the one side-heated vertical channel with inserted porous materials applied as a vessel cooling system. Nuclear Engineering and Technology, l47, 534–545.

92.

Zamora, B., & Kaiser, A. S. (2012). Influence of the variable thermophysical properties on the turbulent buoyancy-driven airflow inside open square cavities. Heat and Mass Transfer, 48, 35–53.

93.

Zamora, B., & Kaiser, A. S. (2016). Radiative effects on turbulent buoyancy-driven airflow in open square cavities. International Journal of Thermal Sciences, 100, 267–283.CrossRef

94.

Zamora, B., & Kaiser, A. S. (2017). Radiative and variable thermophysical properties effects on turbulent convective flows in cavities with thermal passive configuration. International Journal of Heat and Mass Transfer, 109, 981–996.

95.

Zamora, B. (2018). Heating intensity and radiative effects on turbulent buoyancy-driven airflow in open square cavities with a heated immersed body. International Journal of Thermal Sciences, 126, 218–237.CrossRef

96.

Budiyanto, M. A., Shinoda, T., & Nasruddin, N. (2017). Study on the CFD simulation of refrigerated container. IOP Conference Series: Materials Science and Engineering, 257(1), 012042.CrossRef

97.

Baltas, N., & Malin, M. R. (1997). The sudden release of gas from undersea pipelines. CHAM 2938/3, CHAM, Wimbledon, London.

98.

Spalding, D. B. (1997). The virtual mass force in two-phase flow. CHAM Technical File Note: IPSA.

99.

Malin, M. R., & Spalding, D. B. (1998). Extensions to the PHOENICS parabolic solver for under-expanded jets. CHAM C/4366/1 & C/4366/2, CHAM, London.

100.

Patankar, S. V., & Spalding, D. B. (1966). A calculation procedure for heat transfer by forced convection through two-dimensional uniform-property turbulent boundary layers on smooth impermeable walls. In Proceedings of the 3rd International Heat Transfer Conference, Chicago (Vol. 2, pp. 50–63).

101.

Patankar, S. V., & Spalding, D. B. (1967). A finite-difference procedure for solving the equations of the two-dimensional boundary layer. International Journal of Heat and Mass Transfer, 10, 1339.

102.

Patankar, S. V., & Spalding, D. B. (1970). Heat and mass transfer in boundary layers (2nd ed.). London: Intertext Books.

103.

Spalding, D. B. (1977). GENMIX: A general computer program for two-dimensional parabolic phenomena (1st ed.). Oxford: Pergamon Press.

104.

Patankar, S. V., & Spalding, D. B. (1972). A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer, 15, 787.

105.

Spalding, D. B., & Tatchell, D. G. (1973). A prediction procedure for flow, combustion and heat transfer close to the base of a rocket. HTS/73/42, Imperial College, London, UK.

106.

Issa, R. I., Spalding, D. B., & Tatchell, D. G. (1974). Guide to the computer program REP3. CHAM Report 631/2, CHAM, London, UK.

107.

Elgobashi, S., & Spalding, D. B. (1977). Equilibrium chemical reaction of supersonic hydrogen-air jets (The ALMA computer program). NASA CR-2725.

108.

Markatos, N. C., Spalding, D. B., & Tatchell, D. G. (1977). Combustion of hydrogen injected into a supersonic air stream. NASA-CR 2802.

109.

Spalding, D. B. (1977). The PAM2 code: An introduction. CHAM/TR/40, CHAM, Wimbledon, London, UK.

110.

Jennions, I. K., Ma, A. S. C., & Spalding, D. B. (1977). A prediction procedure for 2-dimensional steady, supersonic flows (The GENMIX-H computer program). HTS/77/24, Imperial College, London.

111.

Drummond, J. P. (2014). Methods for prediction of high-speed reacting flows in aerospace propulsion. AIAA Journal, 52(3), 465–485.MathSciNetCrossRef

112.

Cousins, J. M. (1981). Calculation of conditions in an axisymmetric rocket exhaust plume: The REP3 computer program. PERME Technical Report No.218, Westcott, UK.

113.

Pratap, V. S., & Spalding, D. B. (1975). Numerical computations of flow in curved ducts. Aeronautical Quarterly, 26, 219–228.

114.

Singhal, A. K., & Spalding, D. B. (1978). A 2d partially-parabolic procedure for turbomachinery cascades. ARC R & M No. 3807, London, UK.

115.

Jennions, I. K. (1980). The impingement of axisymmetric supersonic jets on cones. Ph.D. thesis, Imperial College, University of London, UK.

116.

Spalding, D. B. (1978). Computer codes for rocket-plume analysis. CHAM TR/38, CHAM, Wimbledon, London.

117.

Spalding, D. B., & Tatchell, D. G. (1973). The rocket base-flow computer program—BAFL, CHAM/640/1. CHAM, Wimbledon, London.

118.

Jensen, D. E., Spalding, D. B., Tatchell, D. G., & Wilson, A. S. (1979). Computations of structures of flames with recirculating flow and radial pressure gradients. 34, 309–26.

119.

Markatos, N. C., Spalding, D. B., Tatchell, D. G., & Mace, A. C. H. (1982). Flow and combustion in the base-wall region of rocket exhaust plumes. Combustion Science and Technology, 28, 15–29.CrossRef

120.

Markatos, N. C., Mace, A. C. H., & Tatchell, D. G. (1982). Analysis of combustion in recirculating flow for rocket exhausts in supersonic streams. Journal of Spacecraft and Rockets, 19(6), 557–563.CrossRef

121.

Spalding, D. B. (1980). Lecture 25, Improved procedures for hydrodynamic problems. In Mathematical modelling of fluid-mechanics, heat-transfer and chemical-reaction processes: A lecture course. HTS/80/1, Imperial College, University of London.

122.

Spalding, D. B. (1982). Lecture 2, 4.2 SIMPLEST. In Four lectures on the PHOENICS computer code. CFD/82/5, Imperial College, University of London.

123.

Palacio, A., Malin, M. R., Proumen, N., & Sanchez, L. (1990). Numerical computations of steady transonic and supersonic flow fields. International Journal of Heat and Mass Transfer, 33(6), 1193–1204.CrossRef

124.

Malin, M. R., & Sanchez, L. (1988). One-dimensional steady transonic shocked flow in a nozzle. PHOENICS Journal, 1(2), 214–246 (CHAM, Wimbledon, London, UK).

125.

Smith, A. G., & Taylor, K. (2000). Modelling of two-phase rocket exhaust plumes and other plume prediction development. PHOENICS Journal, 13(1) (CHAM, Wimbledon, London).

126.

Spalding, D. B. (2004). The ‘convergence-promoting wizard’ for PHOENICS. In PHOENICS User Conference, Melbourne, Australia. http://www.cham.co.uk/phoenics/d_polis/d_lecs/d_conwiz/conwiz.htm.

127.

Spalding, D. B. (1992). The expert-system CFD code; problems and partial solutions. In Conference Proceedings. Basel World User Days CFD 1992, May 24–28.

128.

Spalding, D. B. (2013). Chapter 1 trends, tricks, and try ons in CFD/CHT, Section 2.2.2 General remarks about linear-equation solvers. In E. M. Sparrow, Y. I. Cho, J. P. Abraham, & J. M. Gorman (Eds.), Advances in heat transfer (Vol. 45, pp. 1–78). Burlington: Academic Press.

Title: Brian Spalding: Some Contributions to Computational Fluid Dynamics During the Period 1993 to 2004
Author: Michael R. Malin
Publisher: Springer Singapore
Book: 50 Years of CFD in Engineering Sciences
Print ISBN: 978-981-15-2669-5

Electronic ISBN: 978-981-15-2670-1

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-981-15-2670-1_1

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