The knowledge of grain growth directions makes it possible to describe the material anisotropy, which helps to ensure the ultrasonic testing of welded assemblies and the assessment of their mechanical integrity. Here, we study multipass welds made of 316 L stainless steel manufactured by a Gas Tungsten Arc Welding (GTAW) process. We have developed a specific model to predict the grain growth directions using a phenomenological solidification model relevant for GTAW welds. This new model follows the philosophy of the MINA model, developed since 2000 and which predicts the grain growth directions for Shielded Metal Arc Welding (SMAW) multipass welds, taking into account information from the welding notebook and macrograph analysis. Unlike the MINA model, the new model does not require measurement of the remelting parameters on macrographs, which can be complex to perform. These parameters are calculated from the measurement of dimensions on associated beads on plate. In this paper, the development of this new model is presented and the results are shown.