波浪模式的变分多尺度方法模拟

针对波浪模式问题，将变分多尺度方法与自由面捕捉技术相结合；把波浪模式的各个物理量分解到“粗” “细”两种尺度上，引入消除数值伪振荡的稳定化结构；最后求解“粗” “细”两种尺度耦合的整体变分多尺度方程，模拟了水波自由晃动的1个周期和波浪的传播过程。模拟结果表明:采用变分多尺度方法模拟水波晃动和波浪传播不会引起数值伪振荡，得到精确的数值解，能够正确模拟水波自由晃动的周期性变化现象以及波浪的传播过程。

Numerical simulation of wave pattern with variational multiscale method

For the wave model, we combine the variational multiscale method with the free surface captured technology, and decompose various physical quantities of the wave model into “coarse” scale and “fine” scale following the variational multiscale method, and introduce the stabilization structure to eliminate numerical pseudo oscillation. Finally, the total variational multiscale equation of coupling “coarse” scale and “fine” scale is solved to simulate the water wave oscillating freely in a cycle and wave propagation. The numerical results show that the numerical results is accurate, and the method eliminates the spurious oscillations, and simulate correctly the phenomenon of periodic changes of water waves oscillating freely and wave propagation.