Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics

by: RW Nash, R Adhikari, ME Cates

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 77, No. 2. (2008)

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Abstract

We present an accurate method to include arbitrary singular distributions of forces in the lattice Boltzmann formulation of hydrodynamics. We validate our method with several examples involving Stokeslet, stresslet, and rotlet singularities, finding excellent agreement with analytical results. A minimal model for sedimenting particles is presented using the method. In the dilute limit, this model has accuracy comparable to, but computational efficiency much greater than, algorithms that explicitly resolve the size of the particles.

@article{el00123, abstract = {We present an accurate method to include arbitrary singular distributions of forces in the lattice Boltzmann formulation of hydrodynamics. We validate our method with several examples involving Stokeslet, stresslet, and rotlet singularities, finding excellent agreement with analytical results. A minimal model for sedimenting particles is presented using the method. In the dilute limit, this model has accuracy comparable to, but computational efficiency much greater than, algorithms that explicitly resolve the size of the particles.}, author = {Nash, R. W. and Adhikari, R. and Cates, M. E. }, citeulike-article-id = {2613014}, doi = {10.1103/PhysRevE.77.026709}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {el00123}, number = {2}, posted-at = {2008-03-30 14:14:09}, priority = {4}, publisher = {APS}, title = {Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000077000002026709000001\&idtype=cvips\&gifs=yes}, volume = {77}, year = {2008} }

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TY - JOUR ID - el00123 L3 - citeulike-article-id:2613014 TI - Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) VL - 77 IS - 2 PB - APS N2 - We present an accurate method to include arbitrary singular distributions of forces in the lattice Boltzmann formulation of hydrodynamics. We validate our method with several examples involving Stokeslet, stresslet, and rotlet singularities, finding excellent agreement with analytical results. A minimal model for sedimenting particles is presented using the method. In the dilute limit, this model has accuracy comparable to, but computational efficiency much greater than, algorithms that explicitly resolve the size of the particles. KW - el00123 AU - Nash, RW AU - Adhikari, R AU - Cates, ME PY - 2008/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000077000002026709000001&idtype=cvips&gifs=yes ER -

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