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New numerical scheme for simulation of hyperbolic mild-slope equation
Zheng, YH; Shen, YM; Qiu, DH
AbstractThe original hyperbolic mild-slope equation can effectively take into account the combined effects of wave shoaling, refraction, diffraction and reflection, but does not consider the nonlinear effect of waves, and the existing numerical schemes for it show some deficiencies. Based on the original hyperbolic mild-slope equation, a nonlinear dispersion relation is introduced in present paper to effectively take the nonlinear effect of waves into account and a new numerical scheme is proposed. The weakly nonlinear dispersion relation and the improved numerical scheme are applied to the simulation of wave transformation over an elliptic shoal. Numerical tests show that the improvement of the numerical scheme makes efficient the solution to the hyperbolic mild-slope equation, A comparison of numerical results with experimental data indicates that the results obtained by use of the new scheme are satisfactory.
KeywordNonlinear Dispersion Relation Hyperbolic Mild-slope Equation Numerical Simulation Water Waves
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS Subject ExtendedEngineering ; Water Resources
Indexed BySCI
WOS SubjectEngineering, Civil ; Engineering, Ocean ; Engineering, Mechanical ; Water Resources
WOS IDWOS:000170502100004
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Guangzhou Inst Energy Convers, Guangzhou 510070, Peoples R China
2.Dalian Univ Technol, State Key Lab Coastal & Offshore Engn, Chinese Acad Sci, Dalian 116023, Peoples R China
Recommended Citation
GB/T 7714
Zheng, YH,Shen, YM,Qiu, DH. New numerical scheme for simulation of hyperbolic mild-slope equation[J]. CHINA OCEAN ENGINEERING,2001,15(2):185-194.
APA Zheng, YH,Shen, YM,&Qiu, DH.(2001).New numerical scheme for simulation of hyperbolic mild-slope equation.CHINA OCEAN ENGINEERING,15(2),185-194.
MLA Zheng, YH,et al."New numerical scheme for simulation of hyperbolic mild-slope equation".CHINA OCEAN ENGINEERING 15.2(2001):185-194.
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