A modified ALE method for fluid flows around bodies moving in close proximity

Abstract A modified ALE method combining a body conforming mesh and a topology changing algorithm is developed to simulate unsteady symmetric fluid problems with bodies in close proximity. By using this method, the advantages of the original ALE method are used, while the disadvantages are reduced or eliminated. A mesh topology changing algorithm is used to create a computational domain boundary, while still having a smoothly deforming mesh in the remaining part of the mesh. It is shown that at higher Reynolds numbers the newly developed method performs better in terms of spurious oscillations than an immersed boundary method (IBM).

[1]  S. Sherwin,et al.  Comparison of various fluid-structure interaction methods for deformable bodies , 2007 .

[2]  C. Peskin,et al.  A computational fluid dynamics of `clap and fling' in the smallest insects , 2005, Journal of Experimental Biology.

[3]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[4]  Shanhong Ji,et al.  Finite element analysis of fluid flows fully coupled with structural interactions , 1999 .

[5]  Hrvoje Jasak,et al.  Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .

[6]  Tapan K. Sengupta,et al.  Solving Navier-Stokes equation for flow past cylinders using single-block structured and overset grids , 2010, J. Comput. Phys..

[7]  H. Bijl,et al.  Flow visualization and force measurements on a hovering flapping-wing MAV 'DelFly II' , 2009 .

[8]  Sun Mao,et al.  Flows around two airfoils performing fling and subsequent translation and translation and subsequent clap , 2003 .

[9]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[10]  Jungwoo Kim,et al.  Sources of spurious force oscillations from an immersed boundary method for moving-body problems , 2011, J. Comput. Phys..

[11]  F. Lehmann,et al.  The aerodynamic benefit of wing–wing interaction depends on stroke trajectory in flapping insect wings , 2007, Journal of Experimental Biology.

[12]  Sanjay P Sane,et al.  The aerodynamics of insect flight , 2003, Journal of Experimental Biology.

[13]  Kai Schneider,et al.  Two- and three-dimensional numerical simulations of the clap–fling–sweep of hovering insects , 2010 .

[14]  A. Nadim,et al.  An Embedding Method for Bluff Body Flows: Interactions of Two Side-by-Side Cylinder Wakes , 2003 .

[15]  M. Dickinson,et al.  The aerodynamic effects of wing–wing interaction in flapping insect wings , 2005, Journal of Experimental Biology.

[16]  Hao Liu,et al.  Recent progress in flapping wing aerodynamics and aeroelasticity , 2010 .

[17]  C. Peskin,et al.  Flexible clap and fling in tiny insect flight , 2009, Journal of Experimental Biology.

[18]  Hester Bijl,et al.  Wing performance and 3-D vortical structure formation in flapping flight , 2013 .

[19]  Ismail H. Tuncer,et al.  Thrust Generation Caused by Flapping Airfoils in a Biplane Configuration , 2003 .

[20]  C. Peskin,et al.  When vortices stick: an aerodynamic transition in tiny insect flight , 2004, Journal of Experimental Biology.

[21]  B. Remes,et al.  Design, Aerodynamics, and Vision-Based Control of the DelFly , 2009 .

[22]  T. Weis-Fogh.  Quick estimates of flight fitness in hovering animals , 1973 .

[23]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .

[24]  H. Bijl,et al.  Mesh deformation based on radial basis function interpolation , 2007 .

[25]  Myong Hwan Sohn,et al.  Flow visualization and aerodynamic load calculation of three types of clap-fling motions in a Weis-Fogh mechanism , 2007 .

[26]  Kai Schneider,et al.  Vorticity generation during the clap–fling–sweep of some hovering insects , 2010 .

[27]  Jung Hee Seo,et al.  A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations , 2011, J. Comput. Phys..

[28]  F. Lehmann.  When wings touch wakes: understanding locomotor force control by wake–wing interference in insect wings , 2008, Journal of Experimental Biology.