Fast Multigrid Algorithm for Non-Linear Simulation of Intact and Damaged Ship Motions in Waves

This paper proposes a fast multigrid algorithm to simulate the non-linear motion of ships in both intact and damaged conditions. The simulations of ship motions in waves are known to require much time to calculate due to the strong non-linear interactions between ship and waves. To improve the calcu...

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Vydáno v:Journal of marine science and engineering Ročník 10; číslo 8; s. 1101
Hlavní autoři: Wang, Ziping, Li, Tingqiu, Jin, Qiu, Guo, Hao, Zhao, Ji, Qi, Junlin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.08.2022
Témata:
Algorithms
Computer applications
Computing time
Corrections
damaged ship
Efficiency
Finite element method
Floods
Investigations
Mathematical analysis
Methods
multigrid algorithm
Multiphase flow
Navier-Stokes equations
Partial differential equations
Radial basis function
RANSE
Reynolds averaged Navier-Stokes method
Rolling motion
Ship motion
ship motions
Simulation
Solvers
the PRBF method
Turbulence models
Two phase flow
Viscosity
Waves
ISSN:2077-1312, 2077-1312
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Shrnutí:This paper proposes a fast multigrid algorithm to simulate the non-linear motion of ships in both intact and damaged conditions. The simulations of ship motions in waves are known to require much time to calculate due to the strong non-linear interactions between ship and waves. To improve the calculation efficiency while retaining the accuracy, a prediction-correction strategy was designed to accelerate the simulation through three sets of locally refined meshes. The flow field was first estimated in a coarse mesh and then mapped to a locally refine mesh for further higher-fidelity corrections. A partitioned radial basis function (PRBF) method is proposed to interpolate and reconstruct the flow field for the refined mesh. A new two-phase flow solver was developed with a fast multigrid algorithm based on the Reynolds-averaged Navier–Stokes equations (RANSE). The new solver was applied to study the non-linear behavior of a damaged ship in beam waves and the effect of damaged compartments on ship rolling motion. Validation against the solution with the original method of single set meshes and experimental data indicates that the proposed algorithm yields satisfactory results while saving 30–40% of the computational time.
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ISSN:2077-1312
2077-1312
DOI:10.3390/jmse10081101