The present study deals with numerical simulations of the free and submerged hydraulic jumps over different shapes of roughness in various roughness arrangements and different Froude number conditions. The models were studied using three roughness shapes, i.e. triangular, square and semi-oval for 0.2 < T/I < 0.5, where T and I are height and distance of roughness, respectively. The results showed that the numerical model is fairly well able to simulate the free and submerged jump characteristics. The effect of roughness plays a role in the reduction of the relative maximum velocity which is greater in the submerged jump. The thickness of the boundary layer for both free and submerged jumps decreases with increasing the distance between the roughnesses. Triangular macroroughness has a significant effect on the length of the jump and shortest length with respect to the other shapes. The reduction in the submerged depth ratio and tailwater depth ratio depends mainly on the space of the roughnesses. The highest shear stress and energy loss in both jumps occur in a triangular macroroughness (TR) with T/I = 0.50 compared to other ratios and modes. The numerical results were compared with previous studies and relationships with good correlation coefficients were presented for the mentioned parameters.

本研究涉及在各种粗糙度布置和不同的弗洛德数条件下，不同形状的粗糙度上自由和淹没水力跃迁的数值模拟。使用三种粗糙度形状（即三角形，正方形和半椭圆形）对模型进行了研究，其中0.2 < T / I <0.5，其中T和I分别是高度和粗糙度距离。结果表明，该数值模型能够很好地模拟自由跳水和潜水跳水特征。粗糙度的影响在最大相对速度的减小中起着作用，该最大最大速度在水下跳跃中更大。自由跳线和淹没跳线的边界层厚度随粗糙度之间的距离增加而减小。三角形宏观粗糙度对跳变的长度和相对于其他形状的最短长度具有重大影响。淹没深度比和尾水深度比的减小主要取决于粗糙度的空间。两次跳跃中最大的剪切应力和能量损失发生在具有T / I的三角形宏观粗糙度（TR）中与其他比率和模式相比= 0.50。将数值结果与以前的研究进行了比较，并为所提到的参数提供了具有良好相关系数的关系。