Abstract:
The implicit large eddy simulation has received widespread attention due to the fact that it does not require additional design to construct the explicit subgrid scale model, but how to regulate its own numerical dissipation such that the numerical method can approximate the subgrid scale model is a key and difficult problem to be solved. The automatic dissipation adjustment method measures the degree of scale resolution by comparing the difference between the two filtered flow fields, and utilizes dissipation control parameters to adaptively adjust the numerical dissipation of the scheme, increasing the dissipation when the flow resolution is insufficient, on the other hand, decreasing the dissipation, thus realizing the implicit large eddy simulation. However, the current implicit large eddy based on the automatic dissipation adjustment method adopts the nonlinear shock capture scheme, and in the simulation of low-speed shear turbulence, the dissipation error of the nonlinear shock capture scheme is relatively large. In order to improve the accuracy of the implicit large eddy simulation based on this method in low-speed turbulence, a new implicit large eddy simulation method is designed through the dissipation control parameter to adjust the dissipation adaptively for the seventh-order upwind scheme. The new implicit large eddy simulation method is numerically verified in typical test cases, such as Taylor-Green vortex, homogeneous isotropic turbulence, and channel flow, and better simulation results are obtained, which demonstrate that the method can more accurately reflect the dissipation required for numerical simulations, and its robustness and accuracy are better than that of traditional fixed-dissipation approaches.