基于非静压方程的波浪破碎模拟

在保证数值精度的基础上,为了提高非静压波浪模型在近岸波浪传播破碎模拟中的计算效率,基于非静压方程模型(SWASH)建立了近岸波浪破碎数值模型.数值模型通过将描述波浪破碎的非静压方程退化为非线性静压浅水方程并引入波浪破碎后能量衰减的紊动模型以减少模拟破碎时的垂向分层数.利用斜坡、潜堤以及沙坝上的波浪破碎水槽实验对模型进行了验证.结果表明,所建立的模型只需要在垂向划分较少的网格层数,即可合理地描述波浪破碎点位置和破碎后波高,进一步提高了非静压波浪模型在实际工程应用中的吸引力和竞争力.

Simulation of Wave Breaking Based on Non Hydrostatic Equations

Abstract： A numerical model was developed for simulating wave propagation and breaking in nearshore zone with higher computational efficiency based on SWASH which is a on non hydrostatic equations model to ensure essential numerical precision. In order to reduce vertical layers, non hydrostatic equations were switched to nonlinear shallow water equations with hydrostatic approximation while a turbulence model was simultaneously introduced to describe the energy dissipation of breaking waves. The model was verified by experimental data of flume experiments such as wave breaking on a slope bottom, submerged breakwater and a sand bar. These validations show that the model is very effective in reasonably predcting wave breaking location and breaking wave height. This further illustruates that the non hydrostatic model adopting realatively few vertical layers can be more attractive and competitive in actual engineering appliations.