谐波合成法(WAWS)具有较高的随机序列生成精度,是目前进行随机风场模拟中较多采用的方法,但在模拟多节点、长序列脉动风场时程时往往存在计算效率低、内存易超限的问题.本文结合谐波合成法与POD技术(WAWS/POD),在保证计算精度的前提下大大提高计算效率,解决了数值模拟过程中计算内存超限的问题.同时为方便用户掌握数值模拟的精度,给出该方法的误差控制指标,用于选择正交分解阶数.最后,采用WAWS/POD联合法模拟了空间200个节点的脉动风场,验证了方法的准确性和高效性.
WAWS is the most common used method,and it can produce random data time series with good accuracy,but the low efficiency and memory exceed problem is inevitable at the case of large amout of variates and long time series.An improved method combining WAWS and proper orthogonal decomposition(POD) technique is used in this paper to improve the computational efficiency,which is obviously efficient in both time and memory consumption.Furthermore,an error standard is defined to estimate the simulation precision,which can be used for choosing the order of POD method and error prediction prior to the simulation process.Finally,an example for numerical simulation of 200 points in random wind field is given to demonstrate the accuracy and effectiveness of this method.