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An Iterative Neumann Boundary Condition Method and Its Application in the Simulation of Breaking Internal Solitary Waves

Author(s): Hai Zhu, Lingling Wang, Hongwu Tang, Qunliang Yang, John J. R. Williams

Linked Author(s): Hai Zhu

Keywords: Internal solitary waves, shoaling ISW, wave breaking, immersed boundary method.

Abstract: Breaking internal solitary waves and corresponding breaking mechanisms have great impact on the mixing in the interior of oceans and lakes, on sediment re-suspension and nutrients transport. The interaction between fully nonlinear MCC (Miyata-Choi-Camassa) internal solitary waves and topographic slopes are modelled by direct numerical simulation. In the present study, immersed boundary method is employed to model the no-slip boundary of the topographic slopes and a novel iterative Neumann boundary condition enforcement strategy is proposed to ensure local scalar conservation near the boundary. Three typical breaking types (collapsing, plunging and surging) are observed during the internal solitary waves shoaling process. General characteristics for shoaling internal solitary waves, such as the evolution of flow field, density field and wave energy variation are monitored and analyzed. Both collapsing and plunging breaker are found to be more energetic than surging breaker but the high bed stress area caused by surging breaker is more widely distributed and it may have greater environmental impacts on coastal regions

DOI:

Year: 2017

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