Flow solver bibliography

The following bibliography lists all sources used to explain how the flow solver works.

  1. Currie, I.G. Fundamental Mechanics of Fluids, McGraw Hill, 1974.
  2. Arpaci, V.S., Larsen, P.S. Convection Heat Transfer, Prentice Hall, 1984.
  3. Rosehnow, Hartnett and Cho. Handbook of Heat Transfer, 3rd Edition, McGraw Hill, 1998.
  4. Wilcox, DCW Industries. Turbulence Modeling for CFD, Second Edition, D.C, 1998.
  5. Schneider, G.E. and Raw, M.J., Control Volume Finite-Element Method for Heat Transfer and Fluid Flow using Colocated Variables- 1. Computational Procedure. Numerical Heat Transfer, Vol.11, pp.363-390, 1987.
  6. Rhie, C.M. and Chow, W.L., A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation, AIAA paper 82-0998, 1982.
  7. Patankar, S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington D.C., 1980.
  8. Leonard et al., International Journal for Numerical Methods in Fluids, vol. 20, p. 421, 1995.
  9. Kader, B.A.. "Temperature and Concentration Profiles in Fully turbulent Boundary Layers". Int. J. Heat Mass Trans., 21, N0.9, pp 1541-1544, 1981.
  10. Raw, M.J., A Coupled Algebraic Multigrid Method for the 3D Navier-Stokes Equations. 10th GAMM Seminar, Kiel 1994.
  11. Briggs W.L., A Multigrid Tutorial, SIAM, Philadelphia, 1987.
  12. Hutchinson, B.R., Raithby, G.D: A Multigrid Method Based on the Additive Correction Strategy, Numerical Heat Transfer, Vol. 9, pp.511-537, 1986.
  13. ASHRAE Fundamentals Handbook. Chapter 6: Psychrometrics, 1997.
  14. Sweeby, P.K., "High Resolution Schemes Using Flux-Limiters for Hyperbolic Conservation Laws", SIAM J. Numer. Anal., Vol. 21, pp. 995-1011, 1984.
  15. Leonard, B.P., Drummond, J.E., "Why you should not use "hybrid", "Power-Law" or related exponential schemes for convective modeling - There are much better alternatives", International Journal for Numerical Methods in Fluids, Vol. 20, pp.421-442, 1995.
  16. Gaskell, P.H., Lau, A.K.C., "Curvature-Compensated Convective Transport: SMART, a New Boundedness-Preserving Transport Algorithm", International Journal for Numerical Methods in Fluids, Vol. 8, pp617-641, 1988.
  17. Yap, C.R., "Turbulent Heat and Momentum Transfer in Recirculating and Impinging Flows", Ph.D. Thesis, University of Manchester, 1987.
  18. Reynolds, W.C., Perkins, H.C.: Engineering Thermodynamics, McGraw Hill, 1977.
  19. Wilke, R.C. , "A Viscosity Equation for Gas Mixtures", J.Chem. Phys., vol. 18, p. 517, 1950.
  20. R. Cheesewright, Turbulent natural convection from a vertical plane surface, J. Heat Transfer 90, 1-8, 1968.
  21. T. Tsuji and Y. Nagano, Velocity and temperature measurements in a natural convection boundary layer along a vertical flat plate, Experimental Thermal and Fluid Science 2, 208-215, 1989.
  22. X. Yuan, A. Moser, P.Suter, Wall functions for numerical simulation of turbulent natural convection along a vertical plate, Int. J. Heat Mass Transfer 36, 4477-4485, 1993.
  23. G.D. Raithby, K.G.T. Hollands, Natural Convection, Handbook of Heat Transfer, Third Edition, W.M. Rohsenow, J.P. Harnet, Y.I. Cho, McGraw Hill, 1998.
  24. F.P. Incropera, D.P. DeWitt, Fundamentals of Heat and Mass Transfer, Fourth Edition, John Wiley, Inc., 1996.
  25. S. Whittaker, Volume Averaging of Transport Equations. In J. Prieur du Plessis (ed.). Fluid Transport in Porous Media. Chap. 1. Computational Mechanics Publications: Southampton, UK, 1997.
  26. V. Venkatakrishnan, Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters. Journal of Computational Physics 118, 120-130, 1995.
  27. G.K. Batchelor, An Introduction to Fluid Dynamics, Cambridge, UK, 2002.
  28. H. Schlichting and K. Gersten, Boundary Layer Theory, 8th edition, Springer, Berlin, 2000.
  29. A. Einstein, Investigations on the Theory of the Brownian Movement, Dover, NY, 1956.
  30. S.B. Pope, Turbulent Flows, Cambridge, UK, 2000.
  31. G.R. Fowles and G.L. Cassiday, Analytical Mechanics, 6th edition, Brooks and Cole, Stamford, 1999.
  32. J.H. Kim, "Slip Correction Measurements of Certified PSL Nanoparticles Using a Nanometer Differential Mobility Analyzer (Nano-DMA) for Knudsen Number From 0.5 to 83", J.Res.Natl.Inst.Stand.Technol. 110,31-54, 2005.
  33. K. Willeke, "Atmospheric Aerosols: Size Distribution Interpretation", J. of the Air Pollution Control Association, 25:5, 529-534, 1975.
  34. T. Knopp, T Alrutz, and D. Schwamborn, "A grid and flow adaptive wall-function method for RANS turbulence modeling", J. of Computational Physics, 220, 19-40, 2006.
  35. B. Aupoix, "Wall roughness modelling with kw stt model", In 10th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements, 2014.
  36. A. Cook, ''Enthalpy Diffusion in Multicomponent Flows", Physics of Fluids, 2008.
  37. J. Hunt, "Eddies, stream, and convergence zones in turbulent flow", Center for Turbulence Research Report CTR-S88, 193-208.
  38. P. Galpin, R.B. Broberg and B. Hutchinson, "Three- Dimensional Navier Stokes Predictions of Steady-State Rotor/Stator Interaction with Pitch Change", 3rd Annual Conference of the CFD, Society of Canada, Banff, Alberta, Canada, Advanced Scientific Computing Ltd, June 25-27, 1995.
  39. B. Leonard, "A stable and accurate convective modelling procedure based on quadratic upstream interpolation", Computer Methods in Applied Mechanics and Engineering, 19(1): 59-98.
  40. T. Barth. D. Jespersen, "The Design and Application of Upwind Schemes on Unstructured Meshes", Technical Report AIAA-89-0366, AIAA 27th Aerospace Sciences Meeting, Reno, 9-12 January 1989.
  41. G. Bird, "Molecular Gas Dynamics and the direct Simulation of Gas Flows", Oxford University Press", New York, 1994.
  42. J. Maxwell, "On stresses in rarefied gases arising from inequalities of temperature", Philos. Trans. Roy. Soc., Part 1, 170, pp. 231-256, 1879.
  43. M. Smoluchowski, "Über wärmeleitung in verdünnten gasen", Ann. Phys. Chem., 64, pp.101-130, 1898.
  44. A. Vreman, "An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications", Physics of Fluids, 2004.
  45. H. van der Vorst, "Iterative Krylov methods for large linear system", Cambridge University Press, 2003.
  46. P. Sonneveld, van Gijzen, "A family of simple and fast algorithms for solving large nonsymmetric systems of linear equations", SIAM Journal on Scientific Computing 31(2), pp. 1035-1062, 2009.
  47. Y. Saad and M Schultz, "A generalized minimal residual algorithm for solving nonsymmetric linear systems", SIAM Journal on Scientific and Statistical Computing, Vol. 7, No.3, pp. 856-869.
  48. J. Gay-Lussac, "Mémoire sur la combinaison des substances gazeuses, les unes avec les autres", Mémoires de la Société d'Arcueil 2, 207-234, 1809.
  49. T. M. Resource, “The Spalart-Allmaras turbulence model,” 2016. [Online]. Available: turbmodels.larc.nasa.gov/spalart.html.
  50. V. Yakhot and S.A. Orszag, "Development of turbulence models for shear flows by a double expansion technique," Physics of Fluids A: Fluid Dynamics 4, 1510, 1992.
  51. T.-H. Shih, W.W. Liou, A. Shabbir, Z. Yang, and J. Zhu, "A New - Eddy-Viscosity Model for High Reynolds Number Turbulent Flows - Model Development and Validation," Computers Fluids, 24(3), 227–238. 1995.
  52. R. McCraw, "Description of aerosol dynamics by the quadrature method of moments," Aerosol Science and Technology, 27(2): 255-265, 1997.
  53. F. Bakhtar, J.B. Young, A.J. White, and D.A. Simpson, "Classical nucleation theory and its application to considering steam flow calculations," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 219(12): 1315-1333, 2005.
  54. A.G. Gerber and A Mousavi, "Representing polydispersed droplet behaviour in nucleating stream flow," Journal of fluids engineering, 129(11): 1404-1414, 2007.
  55. Mittal et al, “A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries”, JCP 227, pp 4825-4852, 2008.
  56. Mavriplis, D. J. and Yang Z., "Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes", Journal of Computational Physics 213, 557–573, 2006.
  57. de Boer, A., van der Schoot, M. S., and Bijl, H., "New method for mesh moving based on radial basis function interpolation", European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006.
  58. Luke E., Collins E. and Blades E., "A fast mesh deformation method using explicit interpolation", Journal of Computational Physics, 231, 586-601, 2012.
  59. Jasak H, and Tukovie Z., Automatic Mesh Motion for the Unstructured Finite Volume Method, Conference Proceedings, 2007.
  60. Van Albada, G.D.; Van Leer, B.; Roberts, W.W. (1982), "A comparative study of computational methods in cosmic gas dynamics", Astronomy and Astrophysics, 108 (1): 76–84.
  61. Roe, P.L. (1986), "Characteristic-based schemes for the Euler equations", Annu. Rev. Fluid Mech., 18: 337–365.
  62. Van Leer, B. (1974), "Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme", J. Comput. Phys., 14 (4): 361–370.
  63. Versteeg, H. K., and W. Malalasekera. "An Introduction to Computational Fluid Dynamics".