| New Numerical Scheme for Simulation of Hyperbolic Mild-Slope Equation |
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| 作者单位： | ZHENG Yonghong SHEN Yongming QIU DahongGuangzhou Institute of Energy Conversion，the Chinese Academy of Sciences，Guangzhou 510070，China Stale Key Laboratory oj Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116023，ChinaAcademician of Chinese Academy of Sciences，State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116023，China |
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| 摘 要： | The 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.
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New Numerical Scheme for Simulation of Hyperbolic Mild-Slope Equation |
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| Authors: | ZHENG Yonghong |
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| Abstract: | The 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. |
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| Keywords: | nonlinear dispersion relation hyperbolic mild-slope equation numerical simulation water waves |
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