Conformal mapping and efficient boundary element method without boundary elements for fast vortex particle simulations

Conformal mapping and efficient boundary element method without boundary elements for fast vortex particle simulations

In this paper, a revitalization of conformal mapping methods applied to fluid flows in two dimensions is proposed. The present work addresses several important issues concerning their application for vortex particle flow solvers. Difficulties of past conformal based method are reviewed. One difficulty concerns the ability of a mapping procedure to represent complicated shapes. The present paper...

A GPU-accelerated Boundary Element Method and Vortex Particle Method

Vortex particle methods, when combined with multipole-accelerated boundary element methods (BEM), become a complete tool for direct numerical simulation (DNS) of internal or external vortex-dominated flows. In previous work, we presented a method to accelerate the vorticity-velocity inversion at the heart of vortex particle methods by performing a multipole treecode N-body method on parallel gr...

Automatic Adaptive Meshing for Efficient Electrostatic Boundary Element Simulations

The bounda y element method (BEM) is well suited for the electrostatic analysis of large, geometrically complex structures. When highly accurate solutions are required, the discretization (meshing) of the geometry becomes increasingly important. A scheme is required to construct optimal meshes, in the sense that maximum accuracy of the solution can be achieved with minimal computational eflort....

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis