Modelling and Simulation of Solid Particle Sedimentation in an Incompressible Newtonian Fluid

被引：1

作者：

Zouaoui S. ^{[1
]}

Djebouri H. ^{[1
]}

Bilek A. ^{[1
]}

Mohammedi K. ^{[2
]}

机构：

[1] LMSE Laboratory, Mechanical Engineering Department, Mouloud Mammeri University of Tizi-Ouzou, P.O. Box 17 RP, Tizi Ouzou

[2] LEMI Laboratory MESOteam, M’Hamed Bougara University of Boumerdes, Boumerdés

来源：

Mathematics in Computer Science | 2017年 / 11卷 / 3-4期

关键词：

Modelling; Newtonian Fluid; Penalisation; Sedimentation; Simulation;

D O I：

10.1007/s11786-017-0315-3

中图分类号：

学科分类号：

摘要：

We present in this paper a method that simulates the motion of rigid particles in a Newtonian fluid. This method is based on a variational formulation throughout the fluid/solid domain, with constraints on the unknown and on the test functions. The rigid motion of the particle is enforced by penalizing the strain tensor on the rigid domain for canceling the deformation rate in the volume occupied by the particle. The time discretization is performed by using the characteristics method. We developed a code from FreeFem++ that simulates Stokes flows or Navier–Stokes flows (low Reynolds number). A simulation of an elliptical rigid particle sedimentation in a Newtonian fluid has shown the importance of this approach. © 2017, Springer International Publishing.

引用

页码：527 / 539

页数：12

共 20 条

[1]

Hu H.H., Patankar N.A., Zhu M.Y., Direct numerical simulations of fluid–solid systems using the arbitrary Lagrangian–Eulerian technique, J. Comput. Phys., 169, 2, pp. 427-462, (2001)

[2]

Lefebvre A., Maury B., Apparent viscosity of a mixture of a Newtonian fluid and interacting particles, C. R. Méc., 333, 12, pp. 923-933, (2005)

[3]

Maury B., Direct simulations of 2D fluid-particle flows in biperiodic domains, J. Comput. Phys., 156, 2, pp. 325-351, (1999)

[4]

Atamian C., Joly P., Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur, RAIRO-Modélisation mathématique et analyse numérique, 27, 3, pp. 1251-1288, (1993)

[5]

Glowinski R., Pan T.-W., Hesla T.I., Joseph D.D., Periaux J., A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow, Contemp. Math., 218, pp. 121-137, (1998)

[6]

Glowinski R., Kuznetsov Y., On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrange multiplier method, C. R. Acad. Sci. Ser. I Math., 327, 7, pp. 693-698, (1998)

[7]

Girault V., Glowinski R., Pan T.W., A fictitious-domain method with distributed multiplier for the Stokes problem, Appl. Nonlinear Anal., 327, 7, pp. 159-174, (2002)

[8]

Girault V., Glowinski R., Pan T.W., A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: application to particulate flow, Int. J. Numer. Methods Fluids, 30, 8, pp. 1043-1066, (1999)

[9]

Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., Periaux J., A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow, J. Comput. Phys., 169, 2, pp. 363-426, (2001)

[10]

Caltagirone J., Vincent S., Tensorial penalisation method for solving Navier–Stokes equations, C. R. Acad. Sci. Ser. IIB Mech., 329, 8, pp. 607-613, (2001)

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