publication . Preprint . 2019

Simulating squirmers with volumetric solvers

Sánchez, Stevens Paz; Buscaglia, Gustavo C.;
Open Access English
  • Published: 18 Mar 2019
Squirmers are models of a class of microswimmers, such as ciliated organisms and phoretic particles, that self-propel in fluids without significant deformation of their body shape. Available techniques for their simulation are based on the boundary-element method and do not contemplate nonlinearities such as those arising from the fluid's inertia or non-Newtonian rheology. This article describes a methodology to simulate squirmers that overcomes these limitations by using volumetric numerical methods, such as finite elements or finite volumes. It deals with interface conditions at the squirmer's surface that generalize those in the published literature. The actu...
arXiv: Physics::Biological Physics
free text keywords: Mathematics - Numerical Analysis, Physics - Fluid Dynamics
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71 references, page 1 of 5

1. Nina Aguillon, Astrid Decoene, Beno^t Fabreges, Bertrand Maury, and Ben^oit Semin, Modelling and simulation of 2D stokesian squirmers, ESAIM: Proceedings, vol. 38, EDP Sciences, 2012, pp. 36{53.

2. Noor Al Quddus, Walied A Moussa, and Subir Bhattacharjee, Motion of a spherical particle in a cylindrical channel using Arbitrary Lagrangian{Eulerian method, Journal of colloid and interface science 317 (2008), no. 2, 620{630.

3. John L Anderson, Colloid transport by interfacial forces, Annual review of uid mechanics 21 (1989), no. 1, 61{99.

4. Peter Betsch, Structure-preserving integrators in nonlinear structural dynamics and exible multibody dynamics, vol. 565, Springer, 2016. [OpenAIRE]

5. JR Blake, A spherical envelope approach to ciliary propulsion, Journal of Fluid Mechanics 46 (1971), no. 1, 199{208.

6. Douglas R Brumley, Marco Polin, Timothy J Pedley, and Raymond E Goldstein, Hydrodynamic synchronization and metachronal waves on the surface of the colonial alga Volvox carteri, Physical review letters 109 (2012), no. 26, 268102.

7. , Metachronal waves in the agellar beating of volvox and their hydrodynamic origin, Journal of the Royal Society Interface 12 (2015), no. 108, 20141358.

8. Stephen Childress, Mechanics of swimming and ying, vol. 2, Cambridge University Press, 1981. [OpenAIRE]

9. Stephen Childress, Anette Hosoi, William W Schultz, and Jane Wang, Natural locomotion in uids and on surfaces: swimming, ying, and sliding, vol. 155, Springer, 2012.

10. Nicholas G Chisholm, Dominique Legendre, Eric Lauga, and Aditya S Khair, A squirmer across Reynolds numbers, Journal of Fluid Mechanics 796 (2016), 233{256. [OpenAIRE]

11. Ramon Codina, A stabilized nite element method for generalized stationary incompressible ows, Computer Methods in Applied Mechanics and Engineering 190 (2001), no. 20-21, 2681{2706.

12. Joost de Graaf, Georg Rempfer, and Christian Holm, Di usiophoretic selfpropulsion for partially catalytic spherical colloids, IEEE transactions on nanobioscience 14 (2015), no. 3, 272{288.

13. Lokenath Debnath, Sir James Lighthill and modern uid mechanics, World Scienti c, 2008.

14. Jean Donea, Antonio Huerta, Jean-Philippe Ponthot, and Antonio Rodr guezFerran, Arbitrary Lagrangian{Eulerian methods, Encyclopedia of Computational Mechanics Second Edition (2017), 1{23.

15. Knut Drescher, Raymond E Goldstein, and Idan Tuval, Fidelity of adaptive phototaxis, Proceedings of the National Academy of Sciences 107 (2010), no. 25, 11171{11176.

71 references, page 1 of 5
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