Author(s)

F. Gao, K. She

Abstract

An efficient finite element technique for water wave modelling F. Gao & K. She School of the Environment The University of Brighton, UK Abstract A new finite element model for the solution of the fully non-linear Navier-Stocks equations is described in this paper. The use of quadratic elements for spatial discretisation is explored to improve numerical accuracy. The 4* order Taylor expansion is used for the time stepping of the velocity field and 5* order Taylor Expansion is employed for updating the spatial coordinates. In comparison with existing finite element approaches to unsteady free surface flow problems, the current technique is simplistic in its formulation and highly accurate and efficient in terms of computational performance. Validation of the new technique is by modelling two unsteady flow problems for which experimental data and/or analytical solutions are available. 1 Introduction Modern numerical techniques for the modelling of water wave broadly fall into three ca

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