粉雪雪崩流的双流体正压模式
Two-fluid barotropic models for powder-snow avalanche flows
摘要：
在本研究中，我们讨论了几个粉雪雪崩流的建模问题。我们采用双流体建模范例。为了简单起见，我们将把注意力限制在正压方程上。我们从一个可压缩模型开始，每个流体有两个速度。然而，该模型可能会成为非双曲线，因此，代表了严重的挑战，数值方法。为了克服这些问题，我们推导出一个单一的速度模型作为松弛过程的结果。对于任何合理的状态方程，这个模型都可以很容易地证明是双曲线的。最后，推导了该模型的不可压缩极限。
英文摘要：
In the present study we discuss several modeling issues of powder-snow avalanche flows. We take a two-fluid modeling paradigm. For the sake of simplicity, we will restrict our attention to barotropic equations. We begin the exposition by a compressible model with two velocities for each fluid. However, this model may become non-hyperbolic and thus, represents serious challenges for numerical methods. To overcome these issues, we derive a single velocity model as a result of a relaxation process. This model can be easily shown to be hyperbolic for any reasonable equation of state. Finally, an incompressible limit of this model is derived.
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