utagawa meaning in English

歌川
宇多川
宇多河
宇田川

In this paper , the state of history and present for discrete element method are reviewed and summarized . extended element models are presented by extending on motohiko hakuno and noriyuki utagawa existing models
本文回顾和总结了离散单元法的发展历史及其研究现状，对现有模型进行了扩展，提出了基于motohikohakuno的改进单元模和基于noriyukiutagawa的改进单元模型。