【摘要】 将快速行进法和源点扫描法的思想结合起来,改进了非结构网格下Level Set方法的实现策略,结合人工压缩法,求解小振幅驻波问题。对2种不同波幅的驻波分别进行了计算,结果和理论吻合较好。计算中Level Set策略很稳定,没有产生数值性的破碎,表明改进后的Level Set方法可用于不同幅度振幅波问题的计算。更多还原

【Abstract】 The fast-marching method was combined with the sourcescanning method to modify the scheme for the Level Set method in unstructured grids,and the problem of small amplitude standing waves was solved by its combination with artificial compression method.Two kinds of standing waves with different amplitudes were calculated and the calculated result was in good agreement with that from theoretical analysis.The modified scheme for the Level Set method is stable with no numerical fragment induced;therefore,the improved Level Set method can be applied to calculating standing waves with different amplitudes.更多还原