276
Bibliography
18. W. Tao, Numerical Heat Transfer, 2nd edn. (Xi’an Jiaotong University Press, Xi’an, 2001)
19. K. Pericleous, C. Bailey, Study of marangoni phenomena in laser melted pools, in Modeling
of Casting, Welding and Advanced Solidification Processes, vol. VII (1995), pp. 91–100
20. G.A. Taylor, H. Michael, S. Nadia, P. Koulis, Finite volume methods applied to computational
modeling of welding phenomena, in Second International Conference on CFD in the Minerals
and Process Industries (CSIRO, Melbourne, 1999), pp. 6–8
21. S. Wu, H. Zhao, Y. Wang et al., New heat source model in numerical simulation of high energy
beam welding, 25(1), 91–94 (2004)
22. J. Goldak, A. Chakravarti, M. Bibby, A new finite model for welding heat source. Metall.
Trans. B 15B, 299–305 (1984)
23. H. Wang, A Study on Fluid Dynamics of Deep Penetration Laser Welding Process (Beijing
University of Technology, Beijing, 2007)
24. J. Goldak, M. Bibby, J. Moore et al., Computer modeling of heat flow in welds. Metall. Trans.
B 17B, 587–600 (1986)
25. R. Courant, E. Issacson, M. Rees, On the solution of non-linear hyperbolic differential
equations by finite differences. Pure Appl. Math. 5, 243–269 (1952)
26. R.A. Gentry, R.E. Martin, B.D. Daly, An Eulerian differencing method for unsteady
compressible flow problems. J. Comput. Phys. 1, 87–91 (1966)
27. H.Z. Barakat, J.A. Clark, Analytical and experimental study of transient laminar nature
convection flows in partially filled containers, in Proceedings of Third International Heat
Transfer Conference, vol. 2 (1966), pp. 87–91
28. A.K. Runchal, M. Wolfshtein, Numerical integration procedure for the steady state NavierStokes equations. J. Mech. Eng. Sci. 11, 445–453 (1969)
29. P.J. Roache, Computational Fluid Dynamics (trans. X. Zhong, X. Liu) (Science Press, Beijing,
1983)
30. C. Chen, Computational Fluid Mechanics (Chongqing Publishing House, Chongqing, 1984)
31. K. Kuwahara, A novel finite difference method for flow simulation and visualization, in
Proceedings of the Symposium of Energy Engineering in the 21th Century, vol. 1, ed. by P.
Chen (2000), pp. 149–160
32. B.P. Leonard, A survey of finite differences with upwinding for numerical modeling of the
incompressible convective diffusion equations. Comput. Tech. Transient Turbul. Flows 2
(1981)
33. B.P. Leonard, A stable and accurate convective modeling procedure based on quadratic
upstream interpolation. Comput. Mech. Appl. Mech. Eng. 29, 59–98 (1979)
34. W. Tao, Progress of Computational Heat Transfer (Science Press, Beijing, 2000)
35. C.J. Freitas, Prospective: selected benchmarks from commercial CFD codes. J. Fluids Eng.
117, 208–218 (1995)
36. F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible
flow of fluid with free surface. Phys. Fluids 8(12), 2182–2189 (1965)
37. L.S. Caretto, R.M. Curr, D.B. Spalding, Two numerical methods for three-dimensional
boundary layers. Comput. Methods Appl. Mech. Eng. 1, 39 (1972)
38. L.S. Caretto, A.D. Gosman, S.V. Patankar et al., Two calculation procedures for steady, threedimensional flow with recirculation, in Proceedings of the Third International Conference on
Numerical Methods for Fluid Dynamics, Paris, vol. 11 (1972), p. 60
39. S.V. Patankar, D.B. Spalding, A calculation procedures for heat mass and momentum transfer
in three-dimensional parabolic flows. Int. J. Heat Mass Transf. 116, 369–380 (1994)
40. L. Zhang, Study on the Forming Mechanism of Metallic Material Deep Penetration Laser
Welding (Xi’an Jiaotong University, Xi’an, 2008)
41. S.V. Patankar, D.B. Spalding, A computer model for three-dimensional flow in furnaces, in
Proceedings of 14th Symposium on Combustion (1973), p. 605
42. D. John, J.R. Anderson, Computational Fluid Application: The Basis with Application
(Tsinghua University Press, Beijing, 2002)
43. S.V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere, New York, 1980),
p. 202
Bibliography
18. W. Tao, Numerical Heat Transfer, 2nd edn. (Xi’an Jiaotong University Press, Xi’an, 2001)
19. K. Pericleous, C. Bailey, Study of marangoni phenomena in laser melted pools, in Modeling
of Casting, Welding and Advanced Solidification Processes, vol. VII (1995), pp. 91–100
20. G.A. Taylor, H. Michael, S. Nadia, P. Koulis, Finite volume methods applied to computational
modeling of welding phenomena, in Second International Conference on CFD in the Minerals
and Process Industries (CSIRO, Melbourne, 1999), pp. 6–8
21. S. Wu, H. Zhao, Y. Wang et al., New heat source model in numerical simulation of high energy
beam welding, 25(1), 91–94 (2004)
22. J. Goldak, A. Chakravarti, M. Bibby, A new finite model for welding heat source. Metall.
Trans. B 15B, 299–305 (1984)
23. H. Wang, A Study on Fluid Dynamics of Deep Penetration Laser Welding Process (Beijing
University of Technology, Beijing, 2007)
24. J. Goldak, M. Bibby, J. Moore et al., Computer modeling of heat flow in welds. Metall. Trans.
B 17B, 587–600 (1986)
25. R. Courant, E. Issacson, M. Rees, On the solution of non-linear hyperbolic differential
equations by finite differences. Pure Appl. Math. 5, 243–269 (1952)
26. R.A. Gentry, R.E. Martin, B.D. Daly, An Eulerian differencing method for unsteady
compressible flow problems. J. Comput. Phys. 1, 87–91 (1966)
27. H.Z. Barakat, J.A. Clark, Analytical and experimental study of transient laminar nature
convection flows in partially filled containers, in Proceedings of Third International Heat
Transfer Conference, vol. 2 (1966), pp. 87–91
28. A.K. Runchal, M. Wolfshtein, Numerical integration procedure for the steady state NavierStokes equations. J. Mech. Eng. Sci. 11, 445–453 (1969)
29. P.J. Roache, Computational Fluid Dynamics (trans. X. Zhong, X. Liu) (Science Press, Beijing,
1983)
30. C. Chen, Computational Fluid Mechanics (Chongqing Publishing House, Chongqing, 1984)
31. K. Kuwahara, A novel finite difference method for flow simulation and visualization, in
Proceedings of the Symposium of Energy Engineering in the 21th Century, vol. 1, ed. by P.
Chen (2000), pp. 149–160
32. B.P. Leonard, A survey of finite differences with upwinding for numerical modeling of the
incompressible convective diffusion equations. Comput. Tech. Transient Turbul. Flows 2
(1981)
33. B.P. Leonard, A stable and accurate convective modeling procedure based on quadratic
upstream interpolation. Comput. Mech. Appl. Mech. Eng. 29, 59–98 (1979)
34. W. Tao, Progress of Computational Heat Transfer (Science Press, Beijing, 2000)
35. C.J. Freitas, Prospective: selected benchmarks from commercial CFD codes. J. Fluids Eng.
117, 208–218 (1995)
36. F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible
flow of fluid with free surface. Phys. Fluids 8(12), 2182–2189 (1965)
37. L.S. Caretto, R.M. Curr, D.B. Spalding, Two numerical methods for three-dimensional
boundary layers. Comput. Methods Appl. Mech. Eng. 1, 39 (1972)
38. L.S. Caretto, A.D. Gosman, S.V. Patankar et al., Two calculation procedures for steady, threedimensional flow with recirculation, in Proceedings of the Third International Conference on
Numerical Methods for Fluid Dynamics, Paris, vol. 11 (1972), p. 60
39. S.V. Patankar, D.B. Spalding, A calculation procedures for heat mass and momentum transfer
in three-dimensional parabolic flows. Int. J. Heat Mass Transf. 116, 369–380 (1994)
40. L. Zhang, Study on the Forming Mechanism of Metallic Material Deep Penetration Laser
Welding (Xi’an Jiaotong University, Xi’an, 2008)
41. S.V. Patankar, D.B. Spalding, A computer model for three-dimensional flow in furnaces, in
Proceedings of 14th Symposium on Combustion (1973), p. 605
42. D. John, J.R. Anderson, Computational Fluid Application: The Basis with Application
(Tsinghua University Press, Beijing, 2002)
43. S.V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere, New York, 1980),
p. 202