Localized surface plasmon resonance (LSPR) has been shown to exhibit a strong potential for nanoscale electromagnetic field manipulation beyond the diffraction limit. Particularly dark mode plasmons circumvent radiation loss and store the energy long in time, which raise the prospect of interesting plasmonics applications, for example biochemical sensing and nanoscale lasing. Here we theoretica...

The periodic standing wave (PSW) method for the binary inspiral of black holes and neutron stars computes exact numerical solutions for periodic standing wave spacetimes and then extracts approximate solutions of the physical problem, with outgoing waves. The method requires solution of a boundary value problem with a mixed (hyperbolic and elliptic) character. We present here a new numerical me...

Fast Marching Methods, FMM, have a wide range of applications, including path planning and navigation, but rarely feature in surveys of path planning techniques. For some applications, however, FMM are more suitable than other popular techniques, such as A*. This paper provides a brief outline of how FMM may be applied to path planning problems and notes the strengths and weaknesses of the meth...

(CSP) method is applied to the method of moments prediction of radar scattering from complex geometries. Like the fast multipole method, the CSP method breaks up the geometry into groups of basis functions. The interactions between groups are computed using a CSP expansion that gives rise to Gaussian beam-like functions which are spectrally narrow. A small percentage of the beams are responsibl...

Wave propagation problems play an important role, not only in the scientific community, but also in industry. Think of acoustic scattering, sound radiation and other related problems. A common feature of these problems is the large or even infinite extension of the acoustic domain compared to the rather limited extension of the surface of the embedded scatterer. The appropriateness of solving s...

A parallel high-order Boundary Element Method accelerated by the Fast Multipole Method is presented in this report. The case of potential flow about arbitrary geometries will be investigated using this method. The goal of this application is to provide a ”pushbutton” tool for the design of aircraft, where medium-fidelity solutions can be obtained in seconds and not hours or days required by Nav...

The kernel-independent fast multipole method (KIFMM) proposed in [1] is of almost linear complexity. In the original KIFMM the time-consuming M2L translations are accelerated by FFT. However, when more equivalent points are used to achieve higher accuracy, the efficiency of the FFT approach tends to be lower because more auxiliary volume grid points have to be added. In this paper, all the tran...

We present a 0.5 Petaflop/s calculation of homogeneous isotropic turbulence in a cube of 2048 particles, using a highly parallel fast multipole method (FMM) using 2048 GPUs on the TSUBAME 2.0 system. We compare this particle-based code with a spectral DNS code under the same calculation condition and the same machine. The results of our particlebased turbulence simulation match quantitatively w...

A method is presented that allows the computation of space charge effects of arbitrary and large distributions of particles in an efficient and accurate way based on a variant of the Fast Multipole Method (FMM). It relies on an automatic multigrid-based decomposition of charges in near and far regions and the use of high-order differential algebra methods to obtain decompositions of far fields ...

The vortex method is applied to the calculation of a decaying homogeneous isotropic turbulence of Reλ = 25, 50 and the results are compared with a spectral method calculation. Vortex method calculations were accelerated by the use of a fast multipole method for periodic boundary conditions. The core spreading method and particle strength exchange were selected as the viscous diffusion scheme. T...