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- ID: 570
- MS01 Recent Advances in Fast Algorithms and Integral Equation Methods
- Fast and accurate simulation of close-to-touching discs in 2D Stokes flow
- Dhairya Malhotra1, Mariana Martinez Aguilar2, Dan Fortunato1
- 1 Flatiron Institute, United States of America; 2 EPFL, Switzerland; dmalhotra@flatironinstitute.org
- We introduce a high-order boundary integral method for simulating dense
- suspensions of rigid discs in a Stokesian fluid in 2D. Our method efficiently
- handles close-to-touching interactions down to distances of 1e-10 with only a
- coarse discretization of the boundary. Additionally, we present a
- preconditioner that significantly reduces the number of GMRES iterations
- required for solving the Stokes mobility problem at each time step. Coupled
- with high-order, adaptive time-stepping using spectral deferred correction, we
- are able to take larger time steps, mitigating the temporal stiffness resulting
- from close-to-touching interactions.
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