Numerical Determination of Truncation Orders in the Correction Method for Stokes Equations
Abstract
In [15], the authors propose an accurate method, namely the correction method, for computing hydrodynamic interaction between very closed spherical particles in a Stokes fluid. The accuracy of this method depends on two truncation parameters for approximating the Neumann to Dirichlet matrix and the velocity correction respectively. In this paper, we establish a numerical determination to estimate these parameters. We perform some numerical experiments to present our method.
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This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords
Stokesian Dynamics, Stokes equation, Hydrodynamic interaction, Truncation order
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DOI: http://dx.doi.org/10.25073/jaec.201821.85
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