A Fast Numerical Method for Internal Flood Water Dynamics to Simulate Water on Deck and Flooding Scenarios of Ships

Abstract

The paper reports the extension of a Lattice Boltzmann model for the nonlinear viscous shallow water equations (NSW) and its application to the simulation of internal flood water dynamics. The solver is accelerated with the help of NVIDIAs CUDA framework to access the computational power of graphics processing units (GPGPUs). The model is validated with typical tank sloshing and cross flooding scenarios and the results are compared to analytical solutions and the results of a state-ofthe-art shallow water solver on the basis of Glimm's method. * Address all correspondence to this author. assuming a planar water surface, (ii) inviscid or viscous nonlinear shallow water (NSW) models, or (iii) full 3D Navier-Stokes (NS) models. In general, approach (i) is preferred for its computational efficiency, but does not consider complex geometries, viscous dissipation and other effects, which may occur for partly flooded compartments with large free surfaces. In contrast, model (iii) may capture the full physics but leads to very time-consuming simulations, both in the data model preparation and the simulation run time.1

Towards Online Visualization and Interactive Monitoring of Real-Time CFD Simulations on Commodity Hardware

“…LBM's explicit nature in time makes it perfectly suitable for parallelization and, therefore, implementation on the GPU. The actual LBM implementation used in this work is the ELBE code [4,8,30,31], currently developed at the Hamburg University of Technology. Because solving the kinetic equation for each individual grid point with an explicit time discretization scheme can be done in parallel, it represents a highly suitable application for GPU computing.…”

Critical damages identification in a multi-level damage stability assessment framework for passenger ships

“…Various approaches differ for the modelling of the water motions inside the compartments. Assumptions start from simple quasi-static flat horizontal free-surface models [43,44]; the complexity arises with lumped mass [45] (that may consider also an inclined flat freesurface [46,47]) or dynamic resonance models [48] up to the adoption of the shallow-water equation [49,50]; • CFD simulations: such techniques evaluate the internal motion of fluids from the numerical integration of RANS equations [51,52].…”

A comprehensive description and application of the FloodW simulation code for flooded ship problems: From still water to irregular wave scenarios

“…[2][3][4][5] Whereas in Acanfora et al, 6 Lee, 7 and Manderbacka et al, 8 an inclined free surface approach is used, that is, out of phase with ship inclinations. Another modeling approach for the flooded water effects is represented by the shallow water equations 9,10 that are found 1 particularly suited for low filling levels. However, except for Bu et al 5 (that attempts modeling the damaged ship dynamics in irregular wave using a quasistatic approach), they are mainly applied and validated for still water or for regular wave cases.…”