Multi-level multi-domain algorithm implementation for two-dimensional multiscale particle in cell simulations

2014 ◽  
Vol 271 ◽  
pp. 430-443 ◽  
Author(s):  
A. Beck ◽  
M.E. Innocenti ◽  
G. Lapenta ◽  
S. Markidis
2016 ◽  
Vol 30 (09) ◽  
pp. 1650046 ◽  
Author(s):  
S. Zhang ◽  
J. Yin ◽  
H. W. Zhang ◽  
B. S. Chen

Phoxonic crystal (PXC) is a promising artificial periodic material for optomechanical systems and acousto-optical devices. The multi-objective topology optimization of dual phononic and photonic max relative bandgaps in a kind of two-dimensional (2D) PXC is investigated to find the regular pattern of topological configurations. In order to improve the efficiency, a multi-level substructure scheme is proposed to analyze phononic and photonic band structures, which is stable, efficient and less memory-consuming. The efficient and reliable numerical algorithm provides a powerful tool to optimize and design crystal devices. The results show that with the reduction of the relative phononic bandgap (PTBG), the central dielectric scatterer becomes smaller and the dielectric veins of cross-connections between different dielectric scatterers turn into the horizontal and vertical shape gradually. These characteristics can be of great value to the design and synthesis of new materials with different topological configurations for applications of the PXC.


2010 ◽  
Vol 108 (10) ◽  
pp. 103305 ◽  
Author(s):  
E. Kawamura ◽  
A. J. Lichtenberg ◽  
M. A. Lieberman

2010 ◽  
Vol 5 (2) ◽  
pp. 85-97
Author(s):  
Andrey V. Terekhov ◽  
Igor V. Timofeev ◽  
Konstantin V. Lotov

A two-dimensional particle-in-cell numerical model is developed to simulate collective relaxation of powerful electron beams in plasmas. To increase the efficiency of parallel particle-in-cell simulations on supercomputers, the Dichotomy Algorithm is used for inversion of the Laplace operator. The proposed model is tested with several well-known physical phenomena and is shown to adequately simulate basic effects of the beam driven turbulence. Also, the modulational instability is studied in the regime when the energy of pumping wave significantly exceeds the thermal plasma energy


2010 ◽  
Vol 19 (3) ◽  
pp. 035201 ◽  
Author(s):  
Liu Cheng-Sen ◽  
Han Hong-Ying ◽  
Peng Xiao-Qing ◽  
Chang Ye ◽  
Wang De-Zhen

Author(s):  
J. P. Fan ◽  
C. Y. Tang ◽  
C. L. Chow

A multi-level superelement technique is applied to model the effects of circular voids on the effective elastic properties of a material. A two-dimensional representative volume element with a circular void in its center is initially modeled by a superelement. Using this superelement, a thin planar material with circular voids is constructed. The finite element computation is then conducted to estimate the effective Young’s modulus, Poisson’s ratio and the shear modulus of the material using the ABAQUS code for different void sizes. The values of the isotropic damage variables, DE and DG, under various degree of damage are hence determined. These values are compared with those calculated by using a conventional micromechanics damage model. A new isotropic damage model is proposed based on the results of this analysis. To demonstrate the applicability of this damage model, an example case of a notched cylindrical bar under tensile loading is investigated.


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