双方程k-ω SST湍流模型的显式耦合求解及其在叶轮机械中的应用

doi:10.7527/S1000-6893.2013.0374

Abstract

Abstract:

The two-equation k-ω shear stress transport (SST) turbulence model is commonly integrated in an implicit coupled way, or in an explicit loosely coupled/decoupled way. An explicit coupled implementation is proposed in the paper. In the present application, a point-implicit method is adopted to treat the stiffness of the turbulence source terms. Combined with hybrid Runge-Kutta time marching and popular accelerating techniques, such as local time stepping, implicit residual smoothing, etc., the turbulence equations can be solved simultaneously with the flow equations. In order to strengthen the robustness of the solver, the turbulent variables are limited. The proposed method is first validated against a DLR 2D cascade test case, which demonstrates the physical validity of the results, and determines the origin of the stiffness. Further, an NASA Rotor 67 test case is used to verify the accuracy of the SST model. The Baldwin-Lomax (BL) algebraic model and the Spalart-Allmaras (SA) one-equation model are also used for comparison. Final results indicate that the SA model and SST model achieve consistently better results, and the SST model has the best accuracy among the three models.

Key words: shear stress transport, turbulence model, explicit form, coupling, turbomachinery, source term, stiffness

CLC Number:

V231.3

YANG Jinguang, WU Hu. Explicit Coupled Solution of Two-equation k-ω SST Turbulence Model and Its Application in Turbomachinery Flow Simulation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(1): 116-124.

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Explicit Coupled Solution of Two-equation k-ω SST Turbulence Model and Its Application in Turbomachinery Flow Simulation

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