Visual Simulation of Eroded Rill Evolution Process on Graphics Processing Unit

doi:10.16182/j.issn1004731x.joss.201703007

Abstract

Abstract: A slope erosion model based on CA (Cellular Automata) and a corresponding simulation algorithm based on GPU (Graphics Processing Unit) were proposed to visualize rapidly the dynamic process of water erosion and microrelief development on hillslope under rainfall events. The model is composed of processes such as rainfall, infiltration, runoff, erosion, deposition, and sediment transport. At each time step, water and sediment were exchanged among adjacent cells observing sediment mass conservation law and flow continuity equation. All cells update their runoff and sediment simultaneously complying with the above simple rules so as to realize the evolution of hillslope microrelief. Perlin noise was superimposed on the slope surface to model the spatial variation and randomness of erosion factors such as microrelief and rainfall, which enhanced the visual effect of rill development. The experiment results show that the slope erosion model based on CA can effectively characterize the rill development process on hillslope, and GPU can be used to greatly improve the real-time performance of slope erosion visualization.

Key words: slope erosion, rill evolution, cellular automaton, visual simulation, graphics processing unit

CLC Number:

TP391.9

Long Mansheng. Visual Simulation of Eroded Rill Evolution Process on Graphics Processing Unit[J]. Journal of System Simulation, 2017, 29(3): 516-523.

References

[1] Wirtz S, Seeger M, Remke A, et al.Do Deterministic Sediment Detachment and Transport Equations Adequately Represent the Process-Interactions in Eroding Rills? An Experimental Field Study[J]. CATENA (S0341-8162), 2013, 101(1): 61-78.
[2] Yan L, Lei T, Zhang J, et al.Finite Element Method for One-dimensional Rill Erosion Simulation on A Curved Slope[J]. International Soil and Water Conservation Research (S2095-6339), 2015, 3(1): 28-41.
[3] Liu Q Q, Chen L, Li J C, et al.Two-Dimensional Kinematic Wave Model of Overland-Flow[J]. Journal of Hydrology (S0022-1694), 2004, 291(1): 28-41.
[4] Jain M K, Singh V P.DEM-Based Modelling of Surface Runoff using Diffusion Wave Equation[J]. Journal of Hydrology (S0022-1694), 2005, 302(1): 107-126.
[5] 龙满生, 何东健. 坡面水蚀与细沟发育过程模拟研究[J]. 系统仿真学报, 2010, 22(2): 348-352.
(Long Mansheng, He Dongjian.Simulation of Soil Erosion and Rill Evolution for Overland Flow[J]. Journal of System Simulation (S1004-731X), 2010, 22(2): 348-352.)
[6] 刘星飞, 原立峰, 吴淑芳, 等. 不同空间尺度下的土壤侵蚀元胞自动机建模评述[J]. 中国水土保持科学, 2012, 10(4): 113-120.
(Liu Xingfei, Yuan Lifeng, Wu Shufang, et al.Review of Soil Erosion Modeling Using Cellular Automata in Different Spatial Scales[J]. Science of Soil and Water Conservation, 2012, 10(4): 113-120. )
[7] Favis-Mortlock D.A Self-Organizing Dynamic Systems Approach to the Simulation of Rill Initiation and Development on Hillslopes[J]. Computers & Geosciences (S0098-3004), 1998, 24(4): 353-372.
[8] 原立峰, 吴淑芳, 刘星飞, 等. 基于元胞自动机的黄土坡面细沟侵蚀模型研究[J]. 土壤学报, 2012, 49(5): 1043-1049.
(Yuan Lifeng, Wu Shufang, Liu Xingfei, et al.Study on Loess Hillslope Rill Ersion Model Based on Cellular Automata[J]. Acta Pedologica Sinica, 2012, 49(5): 1043-1049.)
[9] Ma T, Zhou C H, Cai Q G.Modeling of Hillslope Runoff and Soil Erosion at Rainfall Events Using Cellular Automata Approach[J]. Pedosphere (S1002-0160), 2009, 19(6): 711-718.
[10] Han P, Ni J R, Hou K B, et al.Numerical Modeling of Gravitational Erosion in Rill Systems[J]. International Journal of Sediment Research (S1001-6279), 2011, 26(4): 403-415.
[11] 王顺利, 康凤举, 徐建华. 近岸卷浪的建模与可视化研究[J]. 系统仿真学报, 2014, 26(10): 2395-2399.
(Wang Shunli, Kang Fengju, Xu Jianhua.Modeling and Visualization of Curved Waves Near Seashore[J]. Journal of System Simulation (S1004-731X), 2014, 26(10): 2395-2399.)
[12] Beneš B, Tĕšínský V, Hornyš J, et al. Hydraulic Erosion[J]. Computer Animation and Virtual Worlds (S1546-427X), 2006, 17(2): 99-108.
[13] Benes B.Real-Time Erosion using Shallow Water Simulation[C]// Workshop in Virtual Reality Interactions and Physical Simulation, Dublin, Ireland: DBLP, 2007: 43-50.
[14] Krištof P, Beneš B, Křivánek J, et al.Hydraulic Erosion Using Smoothed Particle Hydrodynamics[J]. Eurographics (S0946-2767), 2009, 28(2): 219-228.
[15] Št'ava O, Beneš B, Brisbin M, et al. Interactive Terrain Modeling using Hydraulic Erosion[C]// Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation. USA: ACM, 2008: 201-210.
[16] Mei X, Decaudin P, Hu B G.Fast Hydraulic Erosion Simulation and Visualization on GPU[C]//Computer Graphics and Applications, 2007. PG'07. 15th Pacific Conference on. Washington, DC, USA: IEEE Computer Society, 2007: 47-56.
[17] Li R M, Stevens M A, Simons D B.Solutions to Green-Ampt Infiltration Equations[J]. J. Irrigation and Drainage (S0733-9437), 1976, 102(2): 239-248.
[18] Flangan D C, Nearing M A, Laflen J M.USDA-Water Erosion Prediction Project: Hillslope Profile and Watershed Model Documentation [R]. NSERL Report No. 10, USDA-ARS National Soil Erosion Laboratory, West Lafayette, 1995. USA: National Soil Erosion Laboratory, 1995.
[19] Nearing M A, Norton L D, Bulgakov D A, et al.Hydraulics and Erosion in Eroding Rills[J]. Water Resources Research (S0043-1397), 1997, 33(4): 865-876.
[20] Millares A, Gulliver Z, Polo M J.Scale Effects on the Estimation of Erosion Thresholds through a Distributed and Physically-Based Hydrological Model[J]. Geomorphology (S0169-555X), 2012, 153(6): 115-126.