基于SPH-ALE方法的波浪水槽数值模拟

为了精确模拟波浪传播,基于光滑粒子流体动力学及任意拉格朗日欧拉(SPH-ALE)方法建立二维数值波浪水槽,在原SPH方法中引入近似黎曼求解器替代人工黏性项,采用排斥力边界条件防止流体粒子穿透固边界,海绵层内采用指数型衰减函数来消除水槽末端的波浪反射,并对规则波的传播进行数值模拟。结果表明:与采用人工黏性项的原SPH方法相比,SPH-ALE方法能够无衰减地模拟波浪传播,并可有效减小固边界附近的粒子压力振荡。

Numerical simulation of wave flume based on SPH-ALE method

In order to simulate wave propagation accurately, a two-dimensional numerical wave flume was constructed based on the smoothed particle hydrodynamics and arbitrary Lagrange Euler(SPH-ALE)method. An approximate Riemann solver was introduced to replace the artificial viscosity in the standard SPH model. The repulsive force boundary condition was used at the solid wall to prevent fluid particles from penetrating the solid boundary. The exponential damping function was used in the sponge layer to eliminate wave reflection at the end of the flume. The regular wave propagation was simulated in the constructed wave flume. The results show that, in comparison with the standard SPH method using artificial viscosity, the SPH-ALE method can simulate the wave propagation without attenuation and effectively reduce the pressure fluctuations near the solid boundaries.