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利用DFD(Domain-Free-Discretization)方法对类鱼体在粘性流体中的自推进运动进行了研究。流场控制方程由不可压的N-S方程和物体的牛顿运动方程共同组成。DFD离散中,解域内点上控制方程的离散形式与解域外某些点相关。根据边界附近流场的近似解,通过插值得到解域外部依赖点上的函数值,从而使边界条件得到满足。在每一时间步,类鱼体的运动状态和流场参数得到更新,实现对类鱼体自推进运动的数值模拟。本文的计算结果与已知数据进行了比较,验证了DFD方法在研究类鱼体游动等涉及流固耦合的运动边界绕流问题的可行性与可靠性。
The self-propelled movement of fish-like bodies in viscous fluids was studied using the Domain-Free-Discretization (DFD) method. The flow field control equation is composed of the incompressible N-S equation and the object’s Newton equation of motion. In DFD discretization, the discrete form of governing equations in the solution domain is related to some points outside the solution domain. According to the approximate solution of the flow field near the boundary, the boundary values are satisfied by interpolating the function values of the external dependence point of the solution domain. At each time step, the movement state and flow field parameters of fish body are updated to realize the numerical simulation of self-propelled movement of fish body. The calculation results of this paper are compared with the known data and the feasibility and reliability of the DFD method in the flow boundary problems of fluid-structure interaction such as swimming of fish are verified.