توسعه روش پیش‌شرط توانی برای شبیه‌سازی جریان‌های ناپایای سیالات ویسکوالاستیک

[1] A. Jameson, Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings, in:  10th Computational fluid dynamics conference, 1991, pp. 1596.

[2] A. Arnone, M.-S. Liou, L. POVINELLI, Multigrid time-accurate integration of Navier-Stokes equations, in:  11th Computational Fluid Dynamics Conference, 1993, pp. 3361.

[3] A.J. Chorin, A numerical method for solving incompressible viscous flow problems, Journal of computational physics, 135(2) (1997) 118-125.

[4] E. Turkel, Preconditioned methods for solving the incompressible and low speed compressible equations, Journal of computational physics, 72(2) (1987) 277-298.

[5] A. Malan, R. Lewis, P. Nithiarasu, An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: Part I. Theory and implementation, International Journal for Numerical Methods in Engineering, 54(5) (2002) 695-714.

[6] A. Malan, R. Lewis, P. Nithiarasu, An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: part II. application, International Journal for Numerical Methods in Engineering, 54(5) (2002) 715-729.

[7] V. Esfahanian, P. Akbarzadeh, The Jameson’s numerical method for solving the incompressible viscous and inviscid flows by means of artificial compressibility and preconditioning method, Applied Mathematics and Computation, 206(2) (2008) 651-661.

[8] V. Esfahanian, P. Akbarzadeh, K. Hejranfar, An improved progressive preconditioning method for steady non‐cavitating and sheet‐cavitating flows, International Journal for Numerical Methods in Fluids, 68(2) (2012) 210-232.

[9] P. Akbarzadeh, E. Akbarzadeh, Numerical investigation of blowing effect on hydrodynamic behavior of cavitating flows over hydrofoils using power law preconditioning method, Modares Mechanical Engineering, 14(8) (2014) 59-67. (in persian)

[10] P. Akbarzadeh, I. Mirzaee, M.H. Kayhani, E. Akbarzadeh, Blowing and suction effect on drag and lift coefficients for viscous incompressible flows over hydrofoils by power-law preconditioning method, Modares Mechanical Engineering, 14(4) (2014) 129-140. (in persian)

[11] P. Akbarzadeh, S. Derazgisoo, M. Shahnazi, A. Askari Lahdarboni, A Power-law Preconditioning Approach for Accelerating the Convergence Rate of Steady and Unsteady Incompressible Turbulent Flows, Amirkabir Journal of Mechanical Engineering, 51(2) (2019) 437-454. (in persian)

[12] P. Akbarzadeh, S.M. Derazgisoo, A dual-time implicit power-law preconditioning method for solving unsteady incompressible flows, Modares Mechanical Engineering, 16(2) (2016) 99-110. (in persian)

[13] F. Rouzbahani, K. Hejranfar, Numerical simulation of wave-floating bodies interaction using a truly incompressible SPH method with artificial compressibility approach, Journal of Solid and Fluid Mechanics, 8(1) (2018) 241-252. (in persian)

[14] J.L. Ericksen, Overdetermination of the speed in rectilinear motion of non-Newtonian fluids, Quarterly of Applied Mathematics, 14(3) (1956) 318-321.

[15] R.E. Gaidos, R. Darby, Numerical simulation and change in type in the developing flow of a nonlinear viscoelastic fluid, Journal of Non-Newtonian Fluid Mechanics, 29 (1988) 59-79. (in persian)

[16] N. Waters, M. King, Unsteady flow of an elastico-viscous liquid, Rheologica Acta, 9(3) (1970) 345-355.

[17] C. Fetecau, C. Fetecau, Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section, International Journal of Non-Linear Mechanics, 40(9) (2005) 1214-1219.

[18] G. Mompean, M. Deville, Unsteady finite volume simulation of Oldroyd-B fluid through a three-dimensional planar contraction, Journal of Non-Newtonian Fluid Mechanics, 72(2-3) (1997) 253-279.

[19] Z.A. D. Domiri Ganji, N. Pahlavni Nejad, Investigation of viscoelastic flow in porous channel by Akbari Ganji method, Second International Conference on New Technologies in Science,  (2018). (in persian)

[20] S.P. A. Jafari, Increasing numerical stability in the simulation of viscoelastic flows at high Weisenberg numbers, Journal of Solid and Fluid Mechanics, 9 (2019). (in persian)

[21] A.R. H. Mahmoudi, H. Amiri Moghadam, S. Azad shahraki, Two-dimensional analysis of turbulent flow of viscoelastic fluid in a channel: a numerical study, Fluid Dynamics Conference, 17 (2017). (in persian)

[22] M.F. Letelier, D.A. Siginer, Secondary flows of viscoelastic liquids in straight tubes, International journal of solids and structures, 40(19) (2003) 5081-5095.

[23] P. Tamamidis, G. Zhang, D.N. Assanis, Comparison of pressure-based and artificial compressibility methods for solving 3D steady incompressible viscous flows, Journal of Computational Physics, 124(1) (1996) 1-13.

[24] T. Adibi, Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence, Fluid Mechanics & Aerodynamics Journal, 7(1) (2018) 37-48. (in persian)

[25] F.H. Harlow, J.E. Welch, Numerical calculation of time‐dependent viscous incompressible flow of fluid with free surface, The physics of fluids, 8(12) (1965) 2182-2189.

[26] H. Vosoughifar, Computational Fluid Dynamic in Matlab, Islamic Azad University-South Tehran Branch, 2016. (in persian)

[27] S. Aristov, D. Knyazev, Viscous fluid flow between moving parallel plates, Fluid Dynamics, 47(4) (2012).

[28] M. Haque, Velocity Distribution of Unsteady Laminar Flow for Viscous Fluid, GANIT: Journal of Bangladesh Mathematical Society, 29 (2009) 1-9.

[29] A. Duarte, A.I. Miranda, P.J. Oliveira, Numerical and analytical modeling of unsteady viscoelastic flows: The start-up and pulsating test case problems, Journal of Non-Newtonian Fluid Mechanics, 154(2-3) (2008) 153-169.