ABSTRACT

In the present study, efforts are dedicated to a comparison of various approaches for numerical wave generation and absorption. Efforts are made to achieve an optimal numerical setup for an accurate wave modelling, including parametric studies in terms of the length of wave generation and absorption zone. Additionally, two different techniques are compared to minimize the wave reflections from the outlet boundary. Verification and validation studies performed for both barely wave modelling and wave-current interactions. Numerical error and uncertainty are quantified towards credibly wave modelling and propagating. Additionally, the effect of current on wave modelling is also addressed. The computed free-surface elevations and velocity profiles are validated against available experimental data. Satisfactory agreements are obtained, demonstrating the good capability of used methodology. The importance of wave steepness and current velocity are identified in the simulations of wave-current interaction.

INTRODUCTION

For the study of free-surface flows in marine-engineering problems, a numerical wave tank (NWT) provides an alternative to conventional physical model tests. Towards a reliable hydrodynamic analysis of a marine structure, an accurately wave modelling and propagating in the target NWT is the key point. The phenomenological theory of linear viscoelasticity provides a basis for describing the attenuation and dispersion of seismic waves. Jeong and Yang (1998) combined adaptive techniques for generating adaptive meshes to capture higher resolution of free surface configurations. Cointe (1990) demonstrated the accuracy and versatility of a simulation that can be used as a "standard" to check the applicability of approximate theories. Kim et al. (1999) and Tanizawa (2000) made comprehensive reviews of relevant theories and numerical techniques. Within their works, the focus was given to the methods based on the potential-flow theory, where the BEM method was generally used to discretize the Laplace equation and nonlinear free surface boundary conditions. Later on, Gopala and van Wachem (2008) reviewed and and analyzed a number of numerical methods to track interfaces in multiphase flows. Lisitsa et al. (2010) proved that to obtain the second-order accuracy of the medium solution with discontinuous parameters, the the one way was to use the conservative second-order finite difference scheme. More recently, Windt et al. (2018) gave a review of computational fluid dynamics-based numerical wave tanks.

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