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Time stepping solutions of the two-dimensional nonlinear wave radiation problem

Wu, GX; Eatock Taylor, R; (1995) Time stepping solutions of the two-dimensional nonlinear wave radiation problem. Ocean Engineering , 22 (8) pp. 785-798. 10.1016/0029-8018(95)00014-C.

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Abstract

The two-dimensional nonlinear time domain free surface flow problem is analysed using potential flow theory. The problem is solved by a time marching method. At each time step two numerical approaches are used. One is based on the boundary element method in the complex plane. The complex potential is assumed to vary linearly within each element and the solution is obtained by imposing the boundary conditions at the nodes of the elements. The other approach is based on the finite element formulation. Triangular elements and linear shape functions are used. The solution is obtained by the Galerkin method. Numerical results are obtained for the wave elevation generated by a vertical wave maker. Results are also provided for a circular cylinder oscillating below the free surface. For these cases the finite element method is found to provide substantially more efficient computations than the boundary element method using equivalent discretizations. © 1995.

Type: Article
Title: Time stepping solutions of the two-dimensional nonlinear wave radiation problem
DOI: 10.1016/0029-8018(95)00014-C
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/1459945
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