Simulation of Fluvial Erosion

This paper presents a real-time simulation of water erosion and deposition in a 3D environment. The water behavior is described by the hydrostatic pipe-model. This model works with data in 2D with $\mathrm{O}(\mathrm{n}^{2})$ runtime. The simulated area is organized into rectilinear columns; every column stores the physical properties of soil and water. These calculations are parallelizable; therefore, the model can be implemented on the Graphics Processing Unit (GPU). The simulation runs on a single compute shader written in High Level Shading Language (HLSL) on nine kernels. This implementation allows the program to run even on older systems. Because of the fully isolated simulation layer, the model can be extended and modified with sufficient geo-mathematical (and minimal computer science) knowledge. We have implemented an application based on the basic model, which is easy to use, can be run on different hardware-software architectures, and offers further development and integration possibilities.