Recently, underwater wireless optical communication (UWOC) has emerged to support the high data rate requirements of oceanic exploration. In this paper, we propose an accurate and closed-form UWOC channel model to understand the effects of dynamic ocean environment on optical signal propagation. The model takes into account the impairments induced by oceanic path-loss, oceanic turbulence, pointing error loss and link interruption due to angle-of-arrival (AoA) fluctuations jointly. We further derive analytical expressions for various outage performance metrics. To boost the system robustness to dynamic ocean environment, we design a probabilistic shaping (PS)-based strategy with unipolar pulse amplitude modulation (PAM), which maximizes the ergodic constellation constrained capacity. Furthermore, considering the limitation of computational resources in real ocean environment, we simplify the PS-based scheme to alleviate the problem. Numerical results verify the accuracy of the proposed channel model and the outage performance analysis. Moreover, the simplified PS-based unipolar M-PAM scheme is validated to be a promising solution for the development and deployment of high speed adaptive UWOC systems.