Nonlocal numerical simulation of low Reynolds number laminar fluid motion by using peridynamic differential operator

OCEAN ENGINEERING

卷:179

Article

Gao, Yan¹  Oterkus, Selda¹ 

[1] Univ Strathclyde, Dept Naval Architecture Ocean & Marine Engn, 100 Montrose St, Glasgow G4 0LZ, Lanark, Scotland

关键词: Peridynamics differential operator;    Non-local;    Fluid flow;    Lagrangian description;    Dam break;   

DOI  :  10.1016/j.oceaneng.2019.03.035

来源: Elsevier

【 摘 要 】

A considerable fluid load can cause local damages on the offshore structures, which may be a risk in the field of ocean engineering. Therefore, an accurate fluid motion prediction is a crucial issue in predicting the offshore structure motion. In this study, a non-local Lagrangian model is developed for Newtonian fluid low Reynolds number laminar flow. Based on the peridynamic theory, a peridynamic differential operator is recently proposed for directly converting the partial differential into its integral form. Therefore, the peridynamic differential operator is applied to convert the classical Navier-Stokes equations into their integral forms. The numerical algorithms are developed both in total and updated Lagrangian description. Finally, several benchmark fluid flow problems such as Couette flow, Poiseuille flow, Taylor Green vortex, shear-driven cavity problem and dam collapse problems are numerically solved. The simulation results are compared with the ones available in the published literature. The good agreements validate of the capability of the proposed non-local model for Newtonian fluid low Reynold's number laminar flow simulation.

【 授权许可】

Free