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Truncation error calculation based on Richardson extrapolation for variable-step collaborative simulation

机译:基于Richardson外推的变步长协同仿真截断误差计算

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摘要

Collaborative simulation is an effective approach to performing simulation analysis for complex systems by integrating models developed for different engineering disciplines. Collaborative simulation issues include the modeling of coupled multidisciplinary systems, and the simulation running time integration of these models that are solved parallelly. Estimation of the local truncation error of coupling models is the key to solve multidisciplinary collaborative simulation problem, which is actually used to restrict the simulation step. This paper presents a variable-step method based on Richardson extrapolation for calculating the local truncation error to solve collaborative simulation problem of multidisciplinary coupling models. Formulas for estimating the local truncation error are derived through theoretical analysis by using integration methods and interpolation technologies, respectively. The simulation experiments are illustrated to validate the accuracy and efficiency of proposed collaborative simulation algorithm in comparison with the usual combinative algorithm.
机译:通过集成针对不同工程学科开发的模型,协作仿真是对复杂系统执行仿真分析的有效方法。协作仿真问题包括耦合的多学科系统的建模,以及并行解决的这些模型的仿真运行时集成。耦合模型局部截断误差的估计是解决多学科协同仿真问题的关键,而该问题实际上是用来限制仿真步骤的。为了解决多学科耦合模型的协同仿真问题,提出了一种基于Richardson外推的变步长方法来计算局部截断误差。通过理论分析,分别采用积分法和插值技术推导了局部截断误差的估计公式。通过仿真实验,验证了所提出的协同仿真算法与常规组合算法相比的准确性和效率。

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