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Meso-scale modeling through the granular models is a key new tool for predicting solidification-related defects. In the present study, a granular model of solidification has been developed to simulate the welding process as a first step towards predicting solidification cracking. Although the translation of the granular modeling methodology from an equiaxed-globular microstructure to the welding microstructure introduces new challenges, this study shows the successful application of this model in welding. By means of the developed 3-D meso-scale model, the susceptibility of the weld to hot crack could be discussed. The permeability of liquid channels at the last stages of solidification has been studied as a susceptibility criterion. Moreover, the effect of different welding parameters, cooling rate and the size of grains on this criterion has been investigated to find out how welding parameters can change the risk of hot cracking in welding of aluminum alloys.