Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Numerical Fourier solutions of standing waves in finite water depth
Abstract Numerical Fourier solutions for time-dependent two-dimensional standing gravity waves of finite amplitude in water of uniform depth are presented in this paper. While using a truncated double Fourier series for the velocity potential which satisfies the Laplace equation, an implicit function, rather than a series approximation for the surface elevation, is preserved in the nonlinear free surface boundary conditions. An algorithm involving Newton's iteration method is developed to calculate the unknown Fourier coefficients. The properties of standing waves in water of finite depth, including variations of angular frequency, surface profiles and wave forces, and even the maximum wave steepness are then calculated. The accuracy of the truncated series is validated by the convergence of the solutions for the angular frequency. The null residual pressure at the free surface then implies high accuracy of the Fourier solutions. The present results agree well with the experimental data available.
Numerical Fourier solutions of standing waves in finite water depth
Abstract Numerical Fourier solutions for time-dependent two-dimensional standing gravity waves of finite amplitude in water of uniform depth are presented in this paper. While using a truncated double Fourier series for the velocity potential which satisfies the Laplace equation, an implicit function, rather than a series approximation for the surface elevation, is preserved in the nonlinear free surface boundary conditions. An algorithm involving Newton's iteration method is developed to calculate the unknown Fourier coefficients. The properties of standing waves in water of finite depth, including variations of angular frequency, surface profiles and wave forces, and even the maximum wave steepness are then calculated. The accuracy of the truncated series is validated by the convergence of the solutions for the angular frequency. The null residual pressure at the free surface then implies high accuracy of the Fourier solutions. The present results agree well with the experimental data available.
Numerical Fourier solutions of standing waves in finite water depth
Tsai, Ching-Piao (Autor:in) / Jeng, Dong-Sheng (Autor:in)
Applied Ocean Research ; 16 ; 185-193
25.04.1994
9 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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