离心泵动-静子流动耦合数值算法研究

Implementation on Numerical Algorithm for Centrifugal Pump Rotor-stator Flow Coupling

针对离心泵动-静子流动耦合问题,采用有限体积方法(FVM)离散不可压旋转流动方程组。研究对流、扩散及源项时、空计算格式。对动子采用非惯性参考系求解相对运动方程组,对静子采用惯性参考系求解绝对运动方程组,动-静界面通过Neuman条件保持通量守恒。将动子出口相对速度转为绝对速度,作为静子进口来流条件,实现动-静子流场的耦合求解。采用模式切换实现算法。为验证算法,对Ubaldi实验用的ERCOFTAC离心叶轮及扩压器耦合流场进行数值研究,获得定常及非定常数值计算结果,并与文献进行比较,结果表明数值预测与实验在数量和分布趋势上均较贴近,验证本算法具有准确预测动-静子流场能力,可用于离心泵流动预测与研究。

To solve the problem of rotor-stator flow coupling,the FVM was adopted to discretize the incompressible rotating flow equations.The time and spatial discretization schemes of the convective,diffusive,and the source term of the equations were investigated.For the rotor,the non-inertial reference frame was adopted to solve the relative flow equations,and for the stator,the inertial reference frame was adopted to solve the absolute flow equations.To keep flux conservation,the Neuman condition was prescribed on the rotor-stator interface.To realize the rotor-stator flow coupling,the relative velocity at rotor outlet was transformed to the absolute velocity,which used as the stator inlet condition.Then a switch mode was adopted to run the algorithm.To validate this algorithm,the flow coupling between the ERCOFTAC centrifugal impeller and the diffuser was conducted,and the steady and unsteady results were obtained and compared with the literature.And good consistency was observed by comparison.It shows that the algorithm is capable of forcasting the rotor-stator flow coupling.The algorithm can be used to forecast and investigate the centrifugal pump flows.