The article deals with the numerical simulation of flows with laminar to turbulent transition due to the separation of boundary layer. Mathematical model consists of the Reynolds averaged Navier–Stokes equations which are completed by the explicit algebraic Reynolds stress model (EARSM) of turbulence. The EARSM model is enhanced with algebraic model of bypass transition which is further modified by the additional source term for prediction of laminar boundary layer separation induced transition. Numerical solution is obtained by the finite volume method based on the second order HLLC scheme and explicit Runge–Kutta method. The proposed method is then tested on several cases of low-Reynolds subsonic transitional flows including flows over the SD 7003 airfoil with various angles of attack and flow past the NACA 0012 airfoil.

由于边界层的分离，本文进行了从层流到湍流过渡的流动的数值模拟。数学模型由雷诺平均Navier-Stokes方程组成，该方程由显式湍流的显式代数雷诺应力模型（EARSM）完成。通过旁路过渡的代数模型增强了EARSM模型，该模型由附加的源项进一步修改，用于预测层流边界层分离引起的过渡。通过基于二阶HLLC格式的有限体积法和显式Runge-Kutta方法获得了数值解。然后，在几种低雷诺亚音速过渡流的情况下测试提出的方法，这些流包括具有不同迎角的SD 7003机翼上的流以及经过NACA 0012机翼的流。