The application of physically-based numerical modeling of the snowpack in support of avalanche hazard prediction is increasing. Modeling, in complement to direct observations and weather forecasting, provides information otherwise unavailable on the present and future state of the snowpack and its mechanical stability. However, there is a significant mismatch between the capabilities of modeling tools developed by research organizations and implemented by some operational services, and the actual operational use of those by avalanche forecasters, thereby causing frustration on both sides. By summarizing currently implemented modeling tools specifically designed for avalanche forecasting, we intend to diminish and contribute to bridge this gap. We highlight specific features and potential added value, as well as challenges preventing a more widespread use of these modeling tools. Lessons learned from currently used methods are explored and provided, as well as prospects for the future, including a list of the most critical issues to be addressed.