为提高边界元方法在工程计算中的效率,研究直接法与间接法求解固角系数的优缺点.以边界积分方程方法模拟非线性数值波浪水槽为例,分别用直接法和间接法求解固角系数.经与五阶深水斯托克斯波波面结果相比,两种方法获得的结果均与解析解吻合很好.但采用间接法求解固角系数时,计算域必须是封闭的,即便在计算域末端布置阻尼层消波,出流边界也不能省略.同时,随着计算域的增大,间接法求解固角系数的计算量较直接法大.总之,直接法比间接法更加方便经济.
The pros and cons of direct and indirect methods for solving solid angle coefficients were proposed to enhance the efficiency of boundary element method (BEM) in engineering calculations. By taking the simulation of nonlinear numerical wave tank model using boundary integral equation method as an example, direct and indirect methods were used to compute .solid angle coefficients respectively. Comparing with the fifth-order deep-water Stokes wave elevation, good agreements are obtained among analytical solution and those from two methods. However, the computational domain must be closed if the .solid angle coefficients are computed by indirect method, which is different from the direct method. The outflow boundary can' t be omitted even if the damping layer is put to dissipate outgoing waves at the end of domain. Meanwhile, the computing cost of indirect method is much larger than that of direct method with increasing calculation domain. In conclusion, the direct method is superior to the indirect one.