FlowCast-ODE: Continuous Hourly Weather Forecasting with Dynamic Flow Matching and ODE Integration
To address rapid error accumulation in autoregressive hourly weather forecasting and temporal discontinuities arising from ERA5’s 12-hour data assimilation cycle, this paper proposes a continuous-time modeling framework integrating dynamic flow matching with ordinary differential equations (ODEs). Methodologically, we design a conditional flow path formulation coupled with a low-rank AdaLN-Zero modulation mechanism, trained via a coarse-to-fine strategy that reduces model parameters by 15% without sacrificing accuracy. Experiments demonstrate significant improvements over strong baselines in RMSE, energy conservation, and fine-grained feature fidelity. The approach effectively mitigates assimilation-induced discontinuities, enhancing short-term forecast stability and temporal coherence. Moreover, it achieves state-of-the-art performance in predicting extreme events—particularly tropical cyclones—surpassing existing methods in both trajectory accuracy and intensity evolution.