To solve the problems of interaction difficulty and low efficiency in traditional water flow heating simulation, a method about thermal motion simulation based on Smoothed Particle Hydrodynamics (SPH) was proposed to control the process of water flow heating interactively. Firstly, the continuous water flow was transformed into particles based on the SPH method, the particle group was used to simulate the movement of the water flow, and the particle motion was limited in the container by the collision detection method. Then, the water particles were heated by the heat conduction model of the Dirichlet boundary condition, and the motion state of the particles was updated according to the temperature of the particles in order to simulate the thermal motion of the water flow during the heating process. Finally, the editable system parameters and constraint relationships were defined, and the heating and motion processes of water flow under multiple conditions were simulated by human-computer interaction. Taking the heating simulation of solar water heater as an example, the interactivity and efficiency of the SPH method in solving the heat conduction problem were verified by modifying a few parameters to control the heating work of the water heater, which provides convenience for the applications of interactive water flow heating in other virtual scenes.
Graphlet Degree Vector (GDV) is an important method for studying biological networks, and can reveal the correlation between nodes in biological networks and their local network structures. However, with the increasing number of automorphic orbits that need to be researched and the expanding biological network scale, the time complexity of the GDV method will increase exponentially. To resolve this problem, based on the existing serial GDV method, the parallelization of GDV method based on Message Passing Interface (MPI) was realized. Besides, the GDV method was improved and the parallel optimization of the optimized method was realized. The calculation process was optimized to solve the problem of double counting when searching for automorphic orbits of different nodes by the improved method, at the same time, the tasks were allocated reasonably combining with the load balancing strategy. Experimental results of simulated network data and real biological network data indicate that parallel GDV method and the improved parallel GDV method both obtain better parallel performance, they can be widely applied to different types of networks with different scales, and have good scalability. As a result, they can effectively maintain the high efficiency of searching for automorphic orbits in the network.