On November 25th 2015, the cold air broke out over the Yellow Sea, causing snow storms in the northern China. Cloud streets with NW-SE orientation were densely distributed over the Yellow Sea. In order to study whether the grid size dependence of vertical heat transport will affect the numerical simulation of convective cloud streets over the Yellow Sea, this paper uses the Weather Research and Forecasting (WRF) model with the Planetary Boundary Layer (PBL) parameterization scheme considering grid size dependence and non-local K-type Yonsei University (YSU) PBL scheme to simulate this case, respectively. The results show that both schemes can reproduce the occurrence area and prevailing wind direction of cloud streets. However, due to the stronger robustness in simulating horizontal roll convection and secondary circulation using the PBL scheme considering grid size dependence, the simulated horizontal and vertical velocity intensity is greater, and the cloud water mixing ratio is higher, which enables more clouds to develop. At the same time, its stability parameter ζ is smaller and the simulated horizontal roll convection intensity is greater.