TY - JOUR
T1 - 并行加速的局部变分迭代法及其轨道计算应用
AU - Wang, Changtao
AU - Dai, Honghua
AU - Zhang, Zhe
AU - Wang, Xuechuan
AU - Yue, Xiaokui
N1 - Publisher Copyright:
© 2023 Chinese Journal of Theoretical and Applied Mechanics Press. All rights reserved.
PY - 2023/4
Y1 - 2023/4
N2 - In recent years, a family of methods based on integral correction have been developed to address the increasing requirements of accuracy and efficiency of orbit computation in aerospace engineering. These methods are fast and accurate via integral correction in a large domain, but limited by scarceness of computing resources in serial computing environment. The serial computing is essentially a waste of the advantage of the integral correction type methods which can support parallel computing. In addition, the appropriate calculation parameters of these methods are usually difficult to determine. That makes it difficult to to choose a proper large step size to ensure both accuracy and efficiency. For the above issues, a parallel accelerated local variation iteration method (PA-LVIM) is presented in this paper based on the local variation iteration method (LVIM) which is a classical method based on integral correction. By exploiting parallel computing, the amount of computational burden in the LVIM is distributed to multiple computing nodes so as to accelerate the computing speed. In addition, the calculation parameters of the PA-LVIM are optimized by a novel polishing mesh refinement method, which divides the integration stepsize according to the second derivatives of the dynamic system states. Three classical orbit propagation problems are solved to verify the validity of the proposed PA-LVIM. Simulation results show that the PA-LVIM is dramatically accelerated, and its computational efficiency is further improved in combination with the polishing mesh refinement method, which increases the efficiency of current methods by more than 5 times.
AB - In recent years, a family of methods based on integral correction have been developed to address the increasing requirements of accuracy and efficiency of orbit computation in aerospace engineering. These methods are fast and accurate via integral correction in a large domain, but limited by scarceness of computing resources in serial computing environment. The serial computing is essentially a waste of the advantage of the integral correction type methods which can support parallel computing. In addition, the appropriate calculation parameters of these methods are usually difficult to determine. That makes it difficult to to choose a proper large step size to ensure both accuracy and efficiency. For the above issues, a parallel accelerated local variation iteration method (PA-LVIM) is presented in this paper based on the local variation iteration method (LVIM) which is a classical method based on integral correction. By exploiting parallel computing, the amount of computational burden in the LVIM is distributed to multiple computing nodes so as to accelerate the computing speed. In addition, the calculation parameters of the PA-LVIM are optimized by a novel polishing mesh refinement method, which divides the integration stepsize according to the second derivatives of the dynamic system states. Three classical orbit propagation problems are solved to verify the validity of the proposed PA-LVIM. Simulation results show that the PA-LVIM is dramatically accelerated, and its computational efficiency is further improved in combination with the polishing mesh refinement method, which increases the efficiency of current methods by more than 5 times.
KW - adaptive method of large steps
KW - iteration method
KW - onboard real-time computing
KW - orbit dynamics
KW - parallel computation
UR - http://www.scopus.com/inward/record.url?scp=85163348502&partnerID=8YFLogxK
U2 - 10.6052/0459-1879-22-592
DO - 10.6052/0459-1879-22-592
M3 - 文章
AN - SCOPUS:85163348502
SN - 0459-1879
VL - 55
SP - 991
EP - 1003
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 4
ER -