Numerical modeling of wave-mud interaction using projection method

作者：Hejazi Kourosh; Soltanpour Mohsen; Sami Saeideh^*

来源：Ocean Dynamics, 2013, 63(9-10): 1093-1111.

DOI：10.1007/s10236-013-0637-x

• Wave-mud interaction
• Fluid mud
• Projection method
• ALE description
• WISE 2DV numerical model
• FVM
• Buoyant k-epsilon turbulence model

A numerical model has been developed to simulate wave-mud interaction. The fully non-linear Navier-Stokes equations with complete set of kinematic and dynamic boundary conditions at free surface and interface with the two-equation k-epsilon turbulence model with buoyancy terms are solved. Finite volume method based on an ALE description has been utilized for the simulation of wave motion in a combined system of water and viscous mud layer. The model is an extension to Width Integrated Stratified Environments 2DV numerical model, originally developed by Hejazi (2005). For validation of the hydrodynamics of the model, small-amplitude progressive wave train in deep water and solitary wave propagation in a constant water depth have been simulated, and the results have been compared with analytical solutions, which show very good agreements. A non-linear short wave propagation in a constant water depth has also been simulated, and the predictions have been compared against measured values reported in the literature, which confirms the model ability in prediction of non-linear short waves. Application of the new model in a combined system of viscous fluid mud shows good agreements in determining damping coefficient and water-mud interface elevation for various wave heights and frequencies compared to the experimental data. Simulated surface wave number values obtained for various mud layer thicknesses show very good agreements compared with analytical solution results.

• 出版日期2013-10