Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures

TLDR: This paper will present first attempt to extend the Meshless Local Petrov Galerkin method with Rankine source solution (MLPG_R) for studying violent water waves and their interaction with rigid structures, and proposes a near-strongly coupled and partitioned procedure to deal with coupling between violent waves and dynamics of structures.

About: This article is published in Journal of Computational Physics.The article was published on 2012-09-01 and is currently open access. It has received 45 citations till now. The article focuses on the topics: Hydroelasticity & Petrov–Galerkin method.

Figures

Fig. 16 Comparisons of the number of iteration corresponding to different relaxation parameters (elastic plate is free on its top with EI/ gh4 =0.01; s s/ h = 0.1).

Fig. 17b Details of the plate configurations in experiments [48] (not to the scale).

Fig. 20. Pressure time history at 0.045m from the bottom of the plate.

Fig. 12. Deflection at the centre of the elastic plate (free on its top with EI/ gh4 =0.01; s s/ h = 0.1).

Fig. 19a. Deflection of the plate at 0.3623 m from the bottom of the plate obatined using numerical simulation (IMLPG_R), and the corresponding spatial wave profiles.

Fig. 18. Experimental plate deflection at 0.3623m from the bottom of the plate and the corresponding spatial wave profile images taken in the experiment[48]. Circled one showing a small leakage of water through the side gap of the plate.

Frequently asked questions

Q1. What are the contributions in this paper?

This paper will present first attempt to extend the Meshless Local Petrov Galerkin method with Rankine source solution ( MLPG_R ) for studying such interaction, which solves the Navier-stokes equations for water waves and the elastic vibration equations for structures under wave impact. 

Q2. What are the future works in this paper?

This is a first paper to extend the MLPG_R ( Meshless local Petrov Galerkin method based on Rankine source solution ) method to numerically simulate interaction between violent breaking waves and elastic structures. The method has been applied to 2D problems but will be extended to dealing with 3D cases in their future work. They demonstrate that convergent numerical results can be achieved if the initial distance of particles ( dx ) and the length of time steps ( dt ) are appropriately chosen. The range of the ratio of dx/dt may be selected as 4-7 m/s for the waves considered in this paper, similar to what the authors have found for wave only problems.