Self-Gravitational Force Calculation Using A Direct Method for Adaptive Mesh Refinement

Chien-Chang Yen

Department of Mathematics

Fu-Jen Catholic University

yen@math.fju.edu.tw

    A direct approach for self-gravitational force calculation of second order accuracy based on uniform grid discretization has been proposed by Yen et al. The method improves the N-body calculation on accuracy using the exact integration of kernel functions and employs fast Fourier transform (FFT) to reduce the computational complexity to nearly linear. This direct approach is also free artificial boundary conditions. However, the uniform discretization is a limitation. Due to computational facility or power has been improved during the past decade, it promotes us to investigate the direct method for non-uniform grid discretization preserving second order accuracy and simulations in reality with the help of graphic process units (GPU) to speed up computational time. The proposed method is more flexible on grid discretization and has the potential to be applied to studies the gaseous morphology of disk galaxies and the planetary migration. This is a join work with Yao-Huan Tseng and Hsien Shang.