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首页> 外文期刊>International Journal of Aerodynamics >Simulations of shallow water surface waves and comparison with water table experiments
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Simulations of shallow water surface waves and comparison with water table experiments

机译：浅水表面波的模拟与水位实验比较

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The hyperbolic systems of equations describing the shallow water surface waves are solved numerically using finite difference schemes and an explicit time integration procedure. The equations are similar to isentropic Euler equations (with γ = 2) and can be simplified using a potential flow model. The results of isentropic Euler, potential model, transonic small disturbance, and full Euler equations are compared for typical flows around pointed and blunt bodies for several Mach numbers. On the other hand, water table experiments are described and the flow over obstacles is studied. Using the theory of hydraulic analogy, the relations between compressible flows and shallow water surface waves are discussed. Flow patterns, including formation of shock waves and expansion fans are presented. It is demonstrated that the water table can be an inexpensive educational tool for demonstration of transonic and supersonic flow phenomena.
机译：描述浅水表面波的方程的双曲线系统使用有限差分方案和明确的时间集成过程来解决数值求解。 等式类似于等式欧拉方程（用γ= 2），并且可以使用潜在的流动模型简化。 比较了概要欧拉，潜在模型，横跨小扰动和全欧拉方程的结果，以围绕尖头和钝性的典型流动进行多个马赫数。 另一方面，描述了水表实验，并研究了障碍物的流动。 讨论了液压类比理论，讨论了可压缩流和浅水表面波之间的关系。 提出了流动模式，包括冲击波和扩展风扇的形成。 据证明，水表可以是用于演示跨音和超音速流动现象的廉价教育工具。

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