基于物质点法的多尺度计算

Multiscale computation based on material point method

多尺度计算方法近年来受到了广泛关注,如何实现分子模拟方法与连续介质模拟方法的平滑过渡,以及如何高效、逼真地构建微细观尺度计算模型,是多尺度计算中需重点解决的问题.近二十年来迅速发展的无网格粒子类方法,特别是物质点法,以其优异的性质,在众多领域内得到了关注与成功应用.本文综述了近年来物质点法及其派生方法在多尺度计算领域的发展情况,包括分子动力学与物质点法的无缝连接、高频波反射抑制、微细观结构建模等方面的算法理论与应用情况,展示出基于物质点法的多尺度计算方法的优势.

The multiscale computational methods have been paid wide attention to in recent years.Key issues in multiscale computation include the method to realize seamless transition between molecular simulation method and continuum-based simulation method and the method to construct micro-and meso-scopic computational models effectively and realistically.The meshfree particle methods,which have been developing fast in recent twenty years,especially the material point method(MPM),are focused on and successfully applied in many fields owing to the outstanding characteristics.The development of MPM and its derivative methods in the field of multiscale computation in recent years,which includes the algorithms of seamlessly connecting molecular dynamics and MPM,suppressing the reflection of high-frequency motions and modeling micro-and meso-structures,and their applications,is summarized in this paper.The advantages of multiscale computational methods based on MPM are demonstrated.