边界元-有限差分混合方法在气垫船破冰数值模拟中的应用

摘要

A unified mathematical model was set up for different operating conditions (on pure water surface,on pure ice surface,on pure broken ice surface,and on semi-water-semi-ice surface) under which air cushion vehicles(ACV)do ice breaking.The numerical calculation method was based on the combination of BEM and FDM,and C language was applied to developing simulation software,which served the function of calculating the wave-making drag of ACV,wave patterns of water or ice and stresses in ice layer.In this software,INTEL MKL mathematical Lib was used to solve linear equations,and Matlab computing engine was used according to C code,to visualize computational grids and some results.OPENMP option was activated to carry out parallel computation on the multi-core computer.The mathematical model,the computing method and the developed software were proved to be effective by comparing the numerical results of the wave-making drag of ACV on total ice with those of the theoretical analysis and experiments mentioned in the existing documents.%对气垫船破冰作业的几种工况建立了统一的数学模型,提出了采用边界元法与有限差分法相结合的数值计算方法.采用C语言编制数值模拟程序,对气垫船兴波阻力、水面和冰面波形以及冰层内应力进行计算,通过调用Intel MKL数学库求解离散得到线性代数方程组；在C语言中调用Matlab计算引擎实现了计算网格和部分计算结果的显示；在多核计算机上采用OPENMP实现程序关键部分的并行计算,提高了计算速度.气垫船在全冰面上兴波阻力的计算结果与已有文献的理论分析计算结果和试验结果符合较好.