The overarching objective in HYDROCOUPLE is the development of new physics-based numerical models and numerical approximation methods to be used in hydrological studies. Our motivation is based on the observation that hydrological models used in Europe, and Norway in particular, is to a large extent based on historical data and knowledge. Due to changing climate conditions, the use of such data becomes less relevant as the current “average” conditions is far from the historical average. This has led to both severe floods and drought conditions sending energy costs in Norway to historic levels. Modeling techniques based on the numerical approximation of the underlying governing laws of physics, i.e. partial differential equations, allows us to develop models of higher fidelity that can inform decision makers with more reliable forecasts of hydrological conditions. Hence, HYDROCOUPLE has the potential to help optimize hydropower production, and subsequently lower energy costs for European consumers. On the other hand, high fidelity models can also be used to study floods and in the design of infrastructure and aid emergency managers during disasters when planning evacuations.