Stella,
By short-term simulation, we usually refer to simulation over a few days, for example, 3-5 day forecast.
WRF resolution can be within the range from tens of kilometers to tens of meters. For large eddy simulation, it can go to as high as 30-100m. For urban study, if you focus on urban heat island, then probably 1km resolution is fine. if you want to explore eddy structure in street valleys, very high resolution like 30-50m is necessary, This is my personal opinion. please refer to the literature for more details,