1. |
-
- 2019
-
Tidskriftsartikel (refereegranskat)
|
|
2. |
|
|
3. |
|
|
4. |
|
|
5. |
|
|
6. |
|
|
7. |
|
|
8. |
|
|
9. |
|
|
10. |
- Broms, Anna, et al.
(författare)
-
A Method of Fundamental Solutions for Large-Scale 3D Elastance and Mobility Problems
-
Annan publikation (övrigt vetenskapligt/konstnärligt)abstract
- The method of fundamental solutions (MFS) is effective for the 3D Laplace and Stokes Dirichlet BVPs in the exterior of a collection of simple objects. Here, we present new formulations for the related elastance and mobility problems in the same geometries. The mobility problem computes rigid body velocities, given net forces and torques on the particles, while the elastance problem is the counterpart for Laplace and solves the problem of conductors with known net charges to determine unknown constant potentials. The new formulations allow for application of one-body preconditioning of the resulting systems, and for large suspensions with moderate lubrication forces, sources on inner proxy-surfaces give accuracy on par with a well-resolved boundary integral formulation. The performance of the well-conditioned mobility solver is demonstrated for a suspension of 10000 nearby ellipsoids. Using a discretization with $2.59\times 10^7$ total degrees of freedom in the preconditioned system, GMRES converges to five digits of accuracy in less than two hours on a workstation and the scaling is linear in the number of particles.
|
|