高精度曲面建模:HASM4

High Accuracy Surface Modelling:HASM4

为了解决高精度曲面建模方法的速度问题,在大量数值实验的基础上,将模拟迭代方程HASM3改进为HASM4。分析结果表明,HASM4的CPU时间较HASM3有了大幅度的减少,而且随着计算域栅格总数的增加,这种减少幅度呈负幂指数规律;同时,随着计算规模的增大,HASM4达到收敛所需的迭代次数较HASM3达到收敛所需的迭代次数呈直线下降趋势。HASM4减少了模型计算量,提高了模型的运行速度,其模拟精度与HASM3相比也有一定幅度的提高。

The iterative simulation equation set of high accuracy surface modeling, HASM3, is upgraded into HASM4 on the basis of numerical tests repeatedly in order to give a solution to the computing time problem of HASM3. The experimental results show that HASM4 has greatly shortened the computing time comparing with HASM3. With increase of total number of grid-cells in the computational domain, the computing time of HASM4 becomes shorter and shorter, which can be formulated by a function of negative power exponent. In the meanwhile, iteration times of HASM4 for reaching its convergence rectilinearly decrease with increase of total number of grid-cells in the computational domain, comparing with the ones of HASM3. HASM4 has not only shortened computing time, but also enhanced simulation accuracy, comparing with HASM3.