A vertically discretized multi-paddle wavemaker is proposed that generates various wave types without the depth-invariant flow condition limitation associated with conventional piston type wavemakers. A first-order mathematical formulation for the paddle stroke is derived and used to selectively generate free surface waves similar to either piston type or flap type wavemakers, depending on the number of utilized paddles. The mathematical formulation is further extended to a multi-phase internal wave case. Paddle discretization performance is evaluated using OpenFOAM, a numerical model that solves the Navier-Stokes equations for two (or more) immiscible and incompressible fluids. Dynamic meshing capability is incorporated in the model. Model results show multiple discrete paddles efficiently generate deep water waves under laminar flow conditions. In intermediate wave conditions, the multi-paddle discretization is less advantageous. Internal waves and resulting free surface waves among air, oil, and water phases are simulated using only two paddles and imposing a fast mode. Model results agree with flow characteristics for both internal and locked free surface waves.

提出了一种垂直离散的多叶片波发生器，其产生各种波类型，而没有与常规活塞式波发生器相关的深度不变的流动条件限制。推导桨叶行程的一阶数学公式，并根据所用桨叶的数量，选择性地生成类似于活塞式或襟翼式波幅器的自由表面波。数学公式进一步扩展到多相内部波动情况。桨叶离散化性能是使用OpenFOAM评估的，OpenFOAM是一种数值模型，可解决两种（或多种）不溶和不可压缩流体的Navier-Stokes方程。动态网格划分功能已纳入模型中。模型结果表明，在层流条件下，多个离散桨有效地产生深水波。在中间波浪条件下，多桨叶离散化的优势较小。空气，油和水相之间的内部波以及由此产生的自由表面波仅使用两个桨叶并施加快速模式进行模拟。模型结果与内部和锁定自由表面波的流动特性一致。