改进Kriging模型及在宽马赫数变几何进气道的应用

摘要

For multi-dimensional and huge amount calculations,an approximate model with sufficient accuracy and fast calculation speed for the variable geometry supersonic inlet with large Mach number range is needed urgently.To solve the convergence at partial-best point of current quantum-particle swarm optimization Kriging approximate model,the global criterion improved quantum-behaved particle swarm optimization is presented,which is validated with high precision,fast speed and strong adaption to high non-linear function by rebuilding two test functions.The approximate model of variable geometry supersonic inlets with 2 ～ 4 Mach number range is established by 5 variable parameters:Ma,angle of attack,horizontal displacement of cowl,second inlet ramp angle and its displacement.The application of the presented model method is validated with high accuracy and adaptability.%由于参数多、计算量大,宽马赫数变几何进气道建模问题亟需精度足够高和计算速度足够快的代理模型.针对粒子群-Kriging代理模型优化步骤极易收敛到局部最优值的问题,采用带全局判据的改进量子粒子群优化方法加以代替.通过对测试函数的重构,验证该代理模型精确度.结果表明,该方法速度快,精度高,且对高度非线性函数的适应性强.针对Ma =2 ～4的二楔板反压式变几何进气道,构建了随马赫数、攻角、唇口水平位移、二级楔板角度和位置变化带来的流量系数和临界总压恢复系数的代理模型.结果表明,该算法适应度好、模型精度高,对该问题建模具有一定应用价值.