Grid service and web interface for dynamical interactive 3D visualization of big data arrays is proposed, implemented and tested. The main requirement of system design is low latency and traffic reduction during data transfer. Distributed grid service is based on Hadoop Map-Reduce implementation. Web interface is implemented using three.js WebGL library. Visualizing of non-linear dynamics simulation results for 3D Kuramoto-Sakaguchi model proved efficiency of proposed approach. Prototype of described system is implemented in Ukrainian National Grid infrastructure.