A fast algorithm for particle simulations
Journal of Computational Physics
Computer simulation using particles
Computer simulation using particles
Preconditioning for boundary integral equations
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Scientific Computing
A parallel precorrected FFT based capacitance extraction program for signal integrity analysis
DAC '96 Proceedings of the 33rd annual Design Automation Conference
On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
SIAM Journal on Scientific Computing
Efficient integral equation based algorithms for parasitic extraction of interconnects with smooth or rough surface
An efficient flexible-order model for 3D nonlinear water waves
Journal of Computational Physics
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
FastCap: a multipole accelerated 3-D capacitance extraction program
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Hi-index | 31.45 |
A highly efficient high-order boundary element method is developed for the numerical simulation of nonlinear wave-wave and wave-body interactions in the context of potential flow. The method is based on the framework of the quadratic boundary element method (QBEM) for the boundary integral equation and uses the pre-corrected fast Fourier transform (PFFT) algorithm to accelerate the evaluation of far-field influences of source and/or normal dipole distributions on boundary elements. The resulting PFFT-QBEM reduces the computational effort of solving the associated boundary-value problem from O(N^2^~^3) (with the traditional QBEM) to O(N ln N) where N represents the total number of boundary unknowns. Significantly, it allows for reliable computations of nonlinear hydrodynamics useful in ship design and marine applications, which are forbidden with the traditional methods on the presently available computing platforms. The formulation and numerical issues in the development and implementation of the PFFT-QBEM are described in detail. The characteristics of accuracy and efficiency of the PFFT-QBEM for various boundary-value problems are studied and compared to those of the existing accelerated (lower- and higher-order) boundary element methods. To illustrate the usefulness of the PFFT-QBEM, it is applied to solve the initial boundary-value problem in the generation of three-dimensional nonlinear waves by a moving ship hull. The predicted wave profile and resistance on the ship are compared to available experimental measurements with satisfactory agreements.