Group theoretic methods and similarity solutions of the Savage-Hutter equations.
Group theoretic methods and similarity solutions of the Savage-Hutter equations.
复制标题
Savage-Hutter 方程的群论方法和相似解。
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
K. Hutter
中科院分区：
文献类型：
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作者：
V. Chugunov;J. Gray;K. Hutter
我们考虑 Savage 和 Hutter 获得的空间一维时间相关方程组，它描述了重力驱动的粒状雪崩的自由表面流。该系统的所有相似解都是通过群体分析的方式找到的。对拉伸变换不变的解族进行了更详细的研究。在三种情况下构造了显式解，并给出了它们的物理解释。
We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The family of solutions which are invariant to stretching transformations is investigated in greater detail. Explicit solutions are constructed in three cases and their physical interpretation is given.