A conservative momentum‐exchange algorithm for interaction problem between fluid and deformable particles

This is the peer reviewed version of the following article:Shintaro Takeuchi, Yoshihiko Yuki, Atsushi Ueyama, Takeo Kajishima, A conservative momentum exchange algorithm for interaction problem between fluid and deformable particles, International Journal for Numerical Methods in Fluids, Vol.64, Issue 10-12, pp.1084-1101, John Wiley & Sons, 2010, which has been published in final form at http://dx.doi.org/10.1002/fld.2272. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

[1]  Lucy T. Zhang,et al.  Imposing rigidity constraints on immersed objects in unsteady fluid flows , 2008 .

[2]  Atsuhiro Tamura,et al.  Residual Cutting Method for Elliptic Boundary Value Problems , 1997 .

[3]  Lucy T. Zhang.  Immersed finite element method for fluid-structure interactions , 2007 .

[4]  Takeo Kajishima,et al.  Study of gas-particle flow by direct numerical simulations , 2004 .

[5]  Howard H. Hu.  Direct simulation of flows of solid-liquid mixtures , 1996 .

[6]  Takeo Kajishima,et al.  Influence of particle rotation on the interaction between particle clusters and particle-induced turbulence , 2004 .

[7]  Y. Yuki,et al.  Efficient Immersed Boundary Method for Strong Interaction Problem of Arbitrary Shape Object with the Self-Induced Flow , 2007 .

[8]  A. Shimosaka,et al.  Hybrid Simulation of Hindered Settling Behavior of Particles Using Discrete Element Method and Direct Numerical Simulation , 2006 .

[9]  R. Glowinski,et al.  A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow , 2001 .

[10]  R. LeVeque,et al.  A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .

[11]  Tayfun E. Tezduyar,et al.  Fluid–structure interaction modeling of ringsail parachutes , 2008 .

[12]  T. Kajishima,et al.  Turbulence Structure of Particle-Laden Flow in a Vertical Plane Channel Due to Vortex Shedding , 2001 .

[13]  Large Scale Analysis of Multiphase Flow Involving Dispersed Components with Deformable Boundaries by a New Immersed Boundary Technique Coupled with VOF and FEM , 2010 .

[14]  T. Kajishima,et al.  Interaction between particle clusters and particle-induced turbulence , 2002 .

[15]  Tayfun E. Tezduyar,et al.  3D Simulation of fluid-particle interactions with the number of particles reaching 100 , 1997 .

[16]  H Schmid-Schönbein,et al.  The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. , 1978, Science.

[17]  C. Peskin.  The immersed boundary method , 2002, Acta Numerica.

[18]  M. Uhlmann.  An immersed boundary method with direct forcing for the simulation of particulate flows , 2005, 1809.08170.

[19]  T. Tezduyar,et al.  A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests , 1992 .

[20]  Tayfun E. Tezduyar,et al.  PARALLEL FINITE ELEMENT SIMULATION OF 3D INCOMPRESSIBLE FLOWS: FLUID-STRUCTURE INTERACTIONS , 1995 .

[21]  C. Peskin.  Flow patterns around heart valves: A numerical method , 1972 .

[22]  Boo Cheong Khoo,et al.  An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries , 2009, J. Comput. Phys..

[23]  A. Popel,et al.  Large deformation of red blood cell ghosts in a simple shear flow. , 1998, Physics of fluids.

[24]  Tayfun E. Tezduyar,et al.  Simulation of multiple spheres falling in a liquid-filled tube , 1996 .

[25]  N. Patankar,et al.  A fast computation technique for the direct numerical simulation of rigid particulate flows , 2005 .

[26]  Tayfun E. Tezduyar,et al.  Advanced mesh generation and update methods for 3D flow simulations , 1999 .

[27]  T. E. TezduyarAerospace,et al.  3d Simulation of Fluid-particle Interactions with the Number of Particles Reaching 100 , 1996 .

[28]  Udo Seifert,et al.  Configurations of fluid membranes and vesicles , 1997 .

[29]  Zhilin Li,et al.  The immersed interface method for the Navier-Stokes equations with singular forces , 2001 .

[30]  D. V. Griffiths,et al.  Programming the finite element method , 1982 .

[31]  Tong Gao,et al.  Deformation of elastic particles in viscous shear flow , 2008, J. Comput. Phys..

[32]  Wulf G. Dettmer,et al.  An adaptive remeshing strategy for flows with moving boundaries and fluid–structure interaction , 2007 .

[33]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[34]  Toshiaki Hisada,et al.  Analysis of Fluid-Structure Interaction Problems with Structural Buckling and Large Domain Changes by ALE Finite Element Method. , 2001 .

[35]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[36]  S. Mittal,et al.  A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders , 1992 .

[37]  Akihiko Shimizu,et al.  Unsteady three-dimensional simulation of interactions between flow and two particles , 2003 .

[38]  Liu,et al.  A computational fluid dynamics study of tadpole swimming , 1996, The Journal of experimental biology.

[39]  M. Uhlmann.  Investigating turbulent particulate channel flow with interface-resolved DNS , 2007 .

[40]  F. Sotiropoulos,et al.  A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies , 2005 .

[41]  A. A. Amsden,et al.  A simplified MAC technique for incompressible fluid flow calculations , 1970 .

[42]  Tayfun E. Tezduyar,et al.  Fluid-structure interactions of a cross parachute: Numerical simulation , 2001 .

[43]  Shinobu Yoshimura,et al.  A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation , 2005 .