دانشگاه تربیت دبیر شهید رجائی
انتشارات دانشگاه تربیت دبیر شهید رجائی

  اخبار و اعلانات

 آمار

تعداد نشریات11
تعداد شماره‌ها222
تعداد مقالات2,230
تعداد مشاهده مقاله3,302,384
تعداد دریافت فایل اصل مقاله2,372,534
Alemi, M., Maia, R.. (1395). A comparative study between two numerical solutions of the Navier-Stokes equations. فناوری آموزش, 6(2), 1-12. doi: 10.22061/jcarme.2017.580
M. Alemi; R. Maia. "A comparative study between two numerical solutions of the Navier-Stokes equations". فناوری آموزش, 6, 2, 1395, 1-12. doi: 10.22061/jcarme.2017.580
Alemi, M., Maia, R.. (1395). 'A comparative study between two numerical solutions of the Navier-Stokes equations', فناوری آموزش, 6(2), pp. 1-12. doi: 10.22061/jcarme.2017.580
Alemi, M., Maia, R.. A comparative study between two numerical solutions of the Navier-Stokes equations. فناوری آموزش, 1395; 6(2): 1-12. doi: 10.22061/jcarme.2017.580

A comparative study between two numerical solutions of the Navier-Stokes equations

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 3، دوره 6، شماره 2 - شماره پیاپی 12، شهریور 2017، صفحه 1-12    اصل مقاله (1.13 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2017.580
نویسندگان
M. Alemi* ؛ R. Maia
Departamento de Engenharia Civil, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, Porto 4200-465, Portugal
تاریخ دریافت: 26 آبان 1395،  تاریخ بازنگری: 06 مرداد 1396،  تاریخ پذیرش: 21 مرداد 1395 
چکیده
The present study aimed to investigate two numerical solutions of the Navier-Stokes equations. For this purpose, the mentioned flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function formulations. Solution algorithms and boundary conditions were presented for both formulations and the efficiency of each formulation was investigated by considering a two-dimensional low laminar flow around a square pile in a rectangular computational domain. Simulations under the same conditions were conducted to assess the difference between results generated by both formulations. Furthermore, the accuracy of the results was analyzed through a comparison of the results with the available reference data. In addition, computational efficiency of both formulations was investigated in term of computation time. The corresponding results indicated that both formulations are adequate to the case used in the present study. Moreover, performed simulations showed that solving the vorticity-stream function form of the flow equations is faster than solving the velocity-pressure form of those equations for simulating a two-dimensional laminar flow around a square pile.
کلیدواژه‌ها
CFD؛ Laminar؛ Navier-Stokes؛ Square Pile؛ Velocity-Pressure؛ Vorticity-Stream function
مراجع
[1] S. V. Patankar, and D. B. Spalding, “A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows,” Int. J. Heat Mass Transf., Vol. 15, No. 10, pp. 1787-1806, (1972).

[2] H. K. Versteeg, and W. Malalasekera, An Introduction to Computational Fluid Dynamics - The Finite Volume Method. Longman Scientific & Technical, (1995).

[3] A. J. Chorin, “Numerical solution of the Navier-Stokes equations,” J. Math. Comput.,Vol. 22, No. 104, pp. 745-762, (1968).

[4] J. Kim, and P. Moin, “Application of a Fractional-step method to incompressible Navier-Stokes equations,” J. Comput. Phys., Vol. 59, No. 2, pp. 308-323, (1985).

[5] P. Majander, and T. Siikonen, “A comparison of time integration methods in an unsteady low-Reynolds-number flow,” Int. J. Numer. Methods Fluids, Vol. 39, No. 5, pp. 361-390, (2002).

[6] J.-G. Liu, and C. Wang, “High order finite difference methods for unsteady incompressible flows in multi-connected domains,” J. Comput. Fluids, Vol. 33, No. 2, pp. 223-255, (2004).

[7] S. Biringen, and C.-Y. Chow, An introduction to computational fluid mechanics by example. John Wiley & Sons, (2011).

[8] A. Sohankar, C. Norberg, and L. Davidson, “Low-Reynolds-number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition,” Int. J. Numer. Methods Fluids, Vol. 26, No. 1, pp. 39-56, (1998).

[9] J. F. Ravoux, a. Nadim, and H. Haj-Hariri, “An embedding method for bluff body flows: interactions of two side-by-side cylinder wakes,” Theor. Comput. Fluid Dyn., Vol. 16, No. 6, pp. 433-466, (2003).

[10] A. Sharma, and V. Eswaran, “Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime,” Numer. Heat Transf. Part A Appl., Vol. 45, No. 3, pp. 247-269, (2004).

[11] B. S. Carmo, and J. R. Meneghini, “Numerical investigation of the flow around two circular cylinders in tandem,” J. Fluids Struct., Vol. 22, No. 6-7, pp. 979-988, (2006).

[12] E. Weinan, and L. Jian-Guo, “Finite difference methods for 3D viscous incompressible flows in the vorticity-vector      potential       formulation      on nonstaggered grids,” J. Comput. Phys., Vol. 138, No. 1, pp. 57-82, (1997).

[13] T. Hou, and B. Wetton, “Stable fourth-order stream-function methods for incompressible flows with boundaries,” J. Comput. Math., Vol. 27, No. 4, pp. 441-458, (2009).

آمار
تعداد مشاهده مقاله: 2,188
تعداد دریافت فایل اصل مقاله: 1,989


سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب