Abstract
Fluid-fluid interfaces appear in numerous systems of academic and industrial interest. Their dynamics is difficult to track since they are usually deformable and of not a priori known shape. Computer simulations pose an attractive way to gain insight into the physics of interfaces. In this report we restrict ourselves to two classes of interfaces and their simulation by means of numerical schemes coupled to the lattice Boltzmann method as a solver for the hydrodynamics of the problem. These are the immersed boundary method for the simulation of vesicles and capsules and the Shan-Chen pseudopotential approach for multi-component fluids in combination with a molecular dynamics algorithm for the simulation of nanoparticle stabilized emulsions. The advantage of these algorithms is their inherent locality allowing to develop highly scalable codes which can be used to harness the computational power of the currently largest available supercomputers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Krüger, T., Frijters, S., Günther, F., Kaoui, B., Harting, J.: Numerical simulations of complex fluid-fluid interface dynamics. Eur. Phys. J. Spec. Topics 222, 177 (2013)
Pozrikidis, C. (ed.) Modeling and Simulation of Capsules and Biological Cells. Chapman & Hall/CRC Mathematical Biology and Medicine Series. Chapman & Hall/CRC, Boca Raton (2003)
Suresh, S., Spatz, J., Mills, J., Micoulet, A., Dao, M., Lim, C., Beil, M., Seufferlein, M.: Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria. Acta Biomater. 1, 15–30 (2005)
Battaglia, L., Gallarate, M.: Lipid nanoparticles: state of the art, new preparation methods and challenges in drug delivery. Expert Opin. Drug Deliv. 9(5), 497–508 (2012)
Fedosov, D., Pan, W., Caswell, B., Gompper, G., Karniadakis, G.: Predicting human blood viscosity in silico. Proc. Natl. Acad. Sci. 108(29), 11772 (2011)
Hou, H., Bhagat, A., Chong, A., Mao, P., Tan, K., Han, J., Lim, C.: Deformability based cell margination—A simple microfluidic design for malaria-infected erythrocyte separation. Lab Chip 10(19), 2605–2613 (2010)
Harting, J., Harvey, M., Chin, J., Venturoli, M., Coveney, P.V.: Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational grids. Phil. Trans. R. Soc. Lond. A 363, 1895–1915 (2005)
Binks, B.: Particles as surfactants–similarities and differences. Cur. Opin. Colloid Interface Sci. 7(1–2), 21–41 (2002)
Frijters, S., Günther, F., Harting, J.: Effects of nanoparticles and surfactant on droplets in shear flow. Soft Matter 8(24), 6542–6556 (2012)
Ramsden, W.: Separation of solids in the surface-layers of solutions and ‘suspensions’. Proc. R. Soc. Lond. 72, 156 (1903)
Pickering, S.: Emulsions. J. Chem. Soc. Trans. 91, 2001–2021 (1907)
Stratford, K., Adhikari, R., Pagonabarraga, I., Desplat, J., Cates, M.: Colloidal jamming at interfaces: a route to fluid-bicontinuous gels. Science 309(5744), 2198–2201 (2005)
Herzig, E., White, K., Schofield, A., Poon, W., Clegg, P.: Bicontinuous emulsions stabilized solely by colloidal particles. Nat. Mat. 6(12), 966–971 (2007)
Succi, S.: The Lattice Boltzmann Equation. Oxford University Press, Oxford (2001)
Aidun, C., Clausen, J.: Lattice-Boltzmann method for complex flows. Ann. Rev. Fluid Mech. 42, 439 (2010)
Shan, X., Chen, H.: Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815 (1993)
Shan, X., Chen, H.: Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Phys. Rev. E 49, 2941 (1994)
Orlandini, E., Swift, M.R., Yeomans, J.M.: A lattice Boltzmann model of binary-fluid mixtures. Europhys. Lett. 32, 463 (1995)
Dupin, M., Halliday, I., Care, C.: Multi-component lattice Boltzmann equation for mesoscale blood flow. J. Phys. A Math. Gen. 36, 8517 (2003)
Peskin, C.: The immersed boundary method. Acta Numer. 11, 479 (2002)
Kaoui, B., Krüger, T., Harting, J.: How does confinement affect the dynamics of viscous vesicles and red blood cells? Soft Matter 8, 9246 (2012)
Jansen, F., Harting, J.: From bijels to Pickering emulsions: a lattice Boltzmann study. Phys. Rev. E 83(4), 046707 (2011)
Günther, F., Janoschek, F., Frijters, S., Harting, J.: Lattice Boltzmann simulations of anisotropic particles at liquid interfaces. Comput. Fluids 80, 184 (2013)
Günther, F., Frijters, S., Harting, J.: Timescales of emulsion formation caused by anisotropic particles. Soft Matter 10, 4977 (2014)
Bleibel, J., Domínguez, A., Günther, F., Harting, J., Oettel, M.: Hydrodynamic interactions induce anomalous diffusion under partial confinement. Soft Matter 10, 2945 (2014)
Kim, E., Stratford, K., Cates, M.: Bijels containing magnetic particles: a simulation study. Langmuir 26(11), 7928 (2010)
Joshi, A., Sun, Y.: Multiphase lattice Boltzmann method for particle suspensions. Phys. Rev. E 79, 066703 (2009)
Ladd, A., Verberg, R.: Lattice-Boltzmann simulations of particle-fluid suspensions. J. Stat. Phys. 104, 1191 (2001)
Groen, D., Henrich, O., Janoschek, F., Coveney, P., Harting, J.: Lattice-Boltzmann methods in fluid dynamics: Turbulence and complex colloidal fluids. In: Bernd Mohr, W.F. (ed.) Jülich Blue Gene/P Extreme Scaling Workshop 2011. Jülich Supercomputing Centre, 52425 Jülich, Apr 2011. FZJ-JSC-IB-2011-02, http://www2.fz-juelich.de/jsc/docs/autoren2011/mohr1/
Schmieschek, S., Narváez Salazar, A., Harting, J.: Multi relaxation time lattice Boltzmann simulations of multiple component fluid flows in porous media. In: Nagel, M.R.W., Kröner, D. (eds.) High Performance Computing in Science and Engineering’12, p. 39. Springer, Heidelberg (2013)
Geislinger, T., Eggart, B., Braunmüller, S., Schmid, L., Franke, T.: Separation of blood cells using hydrodynamic lift. Appl. Phys. Lett. 100, 183701 (2012)
Krüger, T., Varnik, F., Raabe, D.: Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method. Comput. Math. Appl. 61, 3485 (2011)
Krüger, T., Varnik, F., Raabe, D.: Particle stress in suspensions of soft objects. Phil. Trans. R. Soc. Lond. A 369, 2414 (2011)
Krüger, T., Kaoui, B., Harting, J.: Interplay of inertia and deformability on rheological properties of a suspension of capsules. J. Fluid Mech. 751, 725 (2014)
Ghosh, A., Harting, J., van Hecke, M., Siemens, A., Kaoui, B., Koning, V., Langner, K., Niessen, I., Rojas, J.P., Stoyanov, S., Dijkstra, M.: Structuring with anisotropic colloids. In: Proceedings of the Workshop Physics with Industry, Leiden, 17–21 Oct 2011. Stichting FOM (2011)
Wagner, A., Pagonabarraga, I.: Lees-Edwards boundary conditions for lattice Boltzmann. J. Stat. Phys. 107, 521 (2002)
Acknowledgements
Financial support is greatly acknowledged from NWO/STW (Vidi grant 10787 of J. Harting) and FOM/Shell IPP (09iPOG14 – “Detection and guidance of nanoparticles for enhanced oil recovery”). We thank the Gauss Center for Supercomputing and HLRS Stuttgart for the allocation of computating time on Hermit.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Krüger, T., Frijters, S., Günther, F., Kaoui, B., Harting, J. (2015). Mesoscale Simulations of Fluid-Fluid Interfaces. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘14. Springer, Cham. https://doi.org/10.1007/978-3-319-10810-0_36
Download citation
DOI: https://doi.org/10.1007/978-3-319-10810-0_36
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10809-4
Online ISBN: 978-3-319-10810-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)