Linearised coupling of elasticity and Navier-Stokes equations

被引：0

作者：

Lasiecka, Irena ^{[1
]}

Szulc, Katarzyna ^{[1
]}

Zochowski, Antoni ^{[1
]}

机构：

[1] Polish Acad Sci, Syst Res Inst, Newelska 6, PL-01447 Warsaw, Poland

来源：

2015 20TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR) | 2015年

关键词：

Coupled Problems; Linear elasticity; Navier-Stokes equation; Topological Derivative; Shape Optimization; Numerical Methods; OPTIMIZATION; SHAPE;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the paper we consider a coupled problem of the linearly elastic body immersed in the flowing fluid which is modelled by means of incompressible Navier-Stokes equations. The approach is based on transforming the variable domain occupied by the fluid to the fixed one corresponding to the un-deformed elastic inclusion. The main idea consists in performing the linearisation of this transformation, similarly as in linear elasticity one assumes the smallness of strains. We base our approach on the observation that the gradients of the suitably defined transformation are bounded by traces of strains on the surface of the elastic body.

引用

页码：208 / 210

页数：3