In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The ...In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The numerical solutions are compared with those of the finite difference method to see the accuracy,the validity and the applicability of the methodology developed in this paper.The meshless method by using the radial basis function can effectively improve the computational efficiency.The findings in this paper provide a significant support for the study of wave shoaling problems.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.51479133,51409134,and 51279128)the Fundamental Research Funds for the Central Research Institutes(Nos.TKS140210,TKS170102,and TKS170108)
基金the National Key Research and Development Program of China (Grant No.2016YFC0802204)the National Natural Science Foundation of China (Grant No.51679166)the National Natural Science Fund for Innovative Research Groups Science Foundation (Grant No.51321065).
文摘In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The numerical solutions are compared with those of the finite difference method to see the accuracy,the validity and the applicability of the methodology developed in this paper.The meshless method by using the radial basis function can effectively improve the computational efficiency.The findings in this paper provide a significant support for the study of wave shoaling problems.
