Ocean Surface Rendering Method Based on Mild-Slope Equation

Abstract:

Mild-slope equation is usually used in many simulation applications. The equation has obviously benefit which based on physical method that can present the real status of water, but the shortcoming is also clearly that the calculations spending lots of times which not support some real-time applications. We use hyperbola to simple the equation calculation process, and use alternating directions implicit (ADI) way to solve this equation. The result shows that the ADI way can use less calculation and less time to accomplish the calculation. We also use the new features of GPU(graphics process unit) to speed up the calculation so that we can render the surface in real-time application.

• Periodical: Advanced Materials Research (Volume 1064)
• Pages: 197-204
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1064.197
• Online since: December 2014
• Authors: Zhuo Yu*, Li Xiong, Feng Shang
• Keywords: Alternating Directions Implicit (ADI), GPU, Mild-Slope Equation, Ocean Surface, Rendering

References

[1] Lawrence M. Lachman, An Open Programming Architecture for Modeling Ocean Waves, (2007).

[2] Namkyung Lee, Nakhoon Baek, KwanWoo Ryu, Real-Time Simulation of Surface Gravity Ocean Waves Based on the TMA Spectrum[A], Computational Science 7th International Conference[C], 2007, 1 (2): 122-129.

DOI: 10.1007/978-3-540-72586-2_16

[3] Nils Th¨urey, Matthias M¨uller-Fischer, Simon Schirm, Real-time BreakingWaves for Shallow Water Simulations[A], Proceedings of the 15th Pacific Conference on Computer Graphics and Applications[C], Washington : IEEE Computer Society , 2007: 39-46.

DOI: 10.1109/pg.2007.33

[4] Berkhoff, J.C.W., Computation of combined refraction diffraction [A], Proceedings 13th International Conference on Coastal Engineering[C], Vancouver, 1972: 471-490.

DOI: 10.1061/9780872620490.027

[5] Li Mengguo, A Review on the Study of Mild-Equation[J], Marine Science Bulletin, 1999, 18(4): 70-92.

[6] Zou Zhili, Water Wave Theory and Application [M], Beijing: Science and Technology Press, (2003).

[7] Li Wanping, Computational Fluid Dynamics[M], Wuhan: Huazhong University of Science and Technology Press, (2004).

[8] Dong Lliangguo, Ma Zaitian; Cao Jingzhong, A Study on Stability of the Staggered-grid High-order Difference Method of First-order Elastic Wave Equation [J] , Journal of Geophysics, 2000, 43(3): 411-419.

DOI: 10.1002/cjg2.107

[9] Zheng Yonghong, Shen Yongming, Qiu Dahong, Application of nonlinear dispersion relation in solving hyperbolic mild slope equations [J], Journal of Hydraulic, 2001, 2 : 69-75.

[10] Tang Jun，Waves and Studies on the Transport of Pollutants in Waves and Currents [D], Dalian: University of Technology, (2005).

[11] Wang Huajiang, Zhou Shengchuan, Ma Chunyong, Paralleled Dynamic Multi-resolution Physical Simulation model of Water Surface[J], Computer Engineering, 2012, 9: 286-290.

[12] Wolfgang Engel, ShaderX 6 : Advanced Rendering Techniques[M], Charles River Media, (2008).