Abstract A three-dimensional numerical model was applied to simulate submerged spatial hydraulic jumps (SSHJ) downstream of a symmetric vent that discharges into a wider channel. Simulations were carried out for different aspect ratios of the vent, expansion ratios of vent width to downstream channel width, tailwater depth, and inlet Froude number. Depending on these factors, simulations indicated the formation of steady asymmetric SSHJ, oscillatory asymmetric SSHJ, and steady symmetric SSHJ, consistent with results of previous experimental studies. The model reproduced observed depth downstream of vent, jump length, and velocity profiles along channel centerline for steady symmetric SSHJ. For oscillatory asymmetric SSHJ, simulated oscillation frequencies had Strouhal numbers that varied with expansion ratio and ranged between 0.003 and 0.015. With piers downstream of the vent, oscillatory SSHJ continued to exhibit jet deflections when pier length was relatively short ( ≲ 0.2 of jump length) but became steady asymmetric for longer piers.

中文翻译：

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水下空间水跃的三维数值研究

摘要 应用三维数值模型来模拟排放到更宽通道的对称通风口下游的水下空间水跃 (SSHJ)。对不同的喷口纵横比、喷口宽度与下游通道宽度的膨胀比、尾水深度和入口弗劳德数进行了模拟。根据这些因素，模拟表明形成了稳定的非对称 SSHJ、振荡的非对称 SSHJ 和稳定的对称 SSHJ，这与之前的实验研究结果一致。该模型再现了观察到的通风口下游深度、跳跃长度和沿通道中心线的速度剖面，用于稳定对称的 SSHJ。对于振荡非对称 SSHJ，模拟振荡频率的 Strouhal 数随膨胀率而变化，范围在 0.003 和 0.015 之间。