Diffusion-Limited Aggregation Model on River Network Prediction Random Walk Simulation

Abstract

The planning of constructions around river basins is essential for economic development. The river's status needs to be monitored to order to avoid disasters like floods or water shortages. Appropriate prediction of the network can greatly help with this situation. River basin management can be started in advance with the utilization of the Diffusion-Limited Aggregation Model. In real-life situations, the growth of river basins will usually follow the Brownian Motion which is like a random walk process. A DLA model can use seed particles to indicate the network's origin and the Brownian Motion can be simulated using random walk code. The model progress will start from a seed particle with a specific position and the position will be entered manually using seed in random function. Then each child particle will start from this position and move randomly to stimulate river basin evolution.