Large Scale Computation of Casimir Forces for Arbitrary 3D Objects
Weng Cho Chew
Award year: 2012-2013
The Casimir force (an extension to the traditional intermolecular London-van der Waals forces) arises between objects at very small (micrometer and nanometer) length scales and can have a contributing effect on the performance of micro/nanoelectromechanical systems (MEMS/NEMS). In order to aid the design and modeling of such devices, our research group has developed methods of calculating the Casimir force for perfect electrically conducting (PEC) objects using our knowledge of computational electromagnetics (CEM). Currently, these methods are limited in size and detail due to the computational limits imposed by the algorithms. However, we propose to improve two current algorithms to allow for orders of magnitude increases in the size of the problems that can be solved. This will be done by adapting large-scale computing methods previously developed by our research group. These large-scale methods, called the Mixed-Form Fast Multipole Algorithm (MF-FMA), allow us to increase the size of unknowns in a problem from a maximum of 10,000 to an order of 1,000,000. For the algorithm performance to remain commensurate with the potential increases in size and details, it is necessary to use parallel computing by implementing Open Multi-Processing (OpenMP) and Message Passing Interface (MPI). With parallelization of the code, we expect to see significant speedup in the performance when implemented on a supercomputer and allowing the performance to remain consistent across varying geometries.