ABSTRACT Shallow water models are commonly used to simulate dam-break flow; however, shallow water equations usually assume a hydrostatic pressure assumption that can limit model applications. Dam-break flow can also be solved by total pressure formulation with Navier–Stokes equations, that are computationally more expensive but can deal with a wider range of problems. We propose a multiphase flow code with second-order precision, called SuLi-LS. This code uses the Level Set methodology and can consider total pressure or hydrostatic pressure assumption in Navier–Stokes solution. To analyse the differences between hydrostatic and total pressure, we compared SuLi-LS results with experimental cases. The comparison shows that total pressure consideration provides accurate results for the dam-break flow problems, and it is a considerably better approach than considering hydrostatic pressure assumption. We found that hydrostatic pressure assumption can be valid for dam-break flows in which there is an underlying water bed.

中文翻译：

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溃坝流静水压模拟与全压模拟的比较

摘要 浅水模型常用于模拟溃坝流；然而，浅水方程通常假设静水压力假设会限制模型应用。溃坝流也可以通过使用 Navier-Stokes 方程的总压力公式来求解，这在计算上更昂贵，但可以处理更广泛的问题。我们提出了一种二阶精度的多相流代码，称为 SuLi-LS。此代码使用水平集方法，可以考虑 Navier-Stokes 解决方案中的总压力或静水压力假设。为了分析静水压力和总压力之间的差异，我们将 SuLi-LS 结果与实验案例进行了比较。比较表明，总压力考虑为溃坝流问题提供了准确的结果，这是一种比考虑静水压力假设更好的方法。我们发现静水压力假设对于存在底层水床的溃坝流是有效的。