Variable spaced particle in mesh‐free method to handle wave‐floating body interactions

Abstract

Summary In this work, the motion of a two‐dimensional rectangular freely floating body under waves is simulated using Improved Meshless Local Petrov‐Galerkin method with Rankine Source function (IMLPG_R) with variable spacing resolutions. The IMLPG_R method is a particle method that solves Navier–Stokes equations using the fractional step method to capture the wave properties. However, many existing particle methods are computationally intensive to model the wave‐floating body due to the requirement of fine particles, needing uniform distribution throughout the domain. To improve the computational efficiency and capture the body response properly, variable spaced particle distribution with fine resolution near the floating body and coarse resolution far from the body is implemented. Numerical schemes to handle variable resolutions are reported. An iterative scheme to handle the wave‐floating body is implemented in the particle method. Two test cases, one with small wave and another with steep waves, are simulated for uniform particle distribution and the result shows good agreement with literature. Based on this, the performance of the variable spaced particle distribution is tested in coupling with floating body solver. The application of the method for wave impact load from the green water loading of the floating structure is also simulated.

Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

“…This study introduces the weighed-point filling strategy [25] to the three dimensional space. The idea of the method is to set a real weight for each discrete node, and the size of the weight is represented as the radius of the sphere with the node as the center of the sphere.…”

“…Traditional CFD methods are mostly based on meshes, but the existence of meshes has limited the application of these methods in solving flow fields with complex boundaries [15][16][17][18][19][20]. Therefore, the method that can perform numerical analysis on flow problems without the necessity of meshing has become a research hotspot and the mesh-less method [21][22][23][24][25][26][27] has been applied to the study of fluid mechanics ever since. After that, with the rapid development of computer hardware technology in the 20th century and the continuous emergence of highefficiency algorithms, the research on the numerical simulation of chemical reaction flows based on mesh-less method has also made some progress, but most of the existing studies are 2D calculations or 3D non-dynamic calculations [7,12,[28][29][30].…”

Investigation of interaction between extreme waves and a moored FPSO using FNPT and CFD solvers

“…AMAZON-SC (Qian et al, 2006;Hu et al, 2009Hu et al, , 2010Hu et al, and 2011, the SPH (Smoothed Particle Hydrodynamics, e.g. Lind et al, 2016), the MLPG-R (Meshless Local Petrov-Galekin method based on Rankine source solution, Rijas et al, 2019), or applying commercial (e.g. StarCCM+ and CFX by Westphalen et al, 2008Westphalen et al, , 2010 and open-source codes such as the OpenFOAM (Brown et al, 2014(Brown et al, , 2015Chen et al, 2014;Hu et al, 2014Hu et al, , 2016Hu et al, , 2017, for numerical modelling the WSIs in an extreme sea.…”

“…the finite volume method (Hildebrandt and Sriram, 2014;Hu et al, 2016;Yang et al, 2017), and the meshless methods, e.g. the SPH (Lind et al, 2012(Lind et al, , 2016Zheng et al, 2014) and MLPG-R (Ma, 2005;Zhou & Ma, 2010;Rijas et al, 2019), have been employed. There are also different techniques in tracking the free surface, such as the volume of fluid (VOF, e.g.…”

“…Xie, 2012Xie, , 2013Xie, , 2015Yan et al, 2019), dealing with the velocity-pressure coupling, e.g. the fractional step method (Rijas et al, 2019) and PIMPLE/PISO (Hu et al, 2014(Hu et al, , 2016(Hu et al, , 2017 , modelling the motions of the floating bodies, e.g. the immersed boundary method (Yang et al, 2017) and solid body equation based on the Newton's 2 nd law (e.g.…”