Title: Efficient finite element methods for natural and mixed convection flows in deformable domains under thermal stresses
We can use matalab...
We develop an efficient class of finite element method for modelling deformation of domains in natural and mixed convection flows. At high temperature thermal stresses on the solid enclosures are expected to generate deformation on the domain confining the fluid flows which alter the flow structures. The aim of this study is to develop a consistent model for coupling convective flow, heat transfer and solid deformation in different enclosures. Coupling conditions at the interface between solid and fluid domains are also investigated in this study. Two types of flows are considered in our work using the incompressible Navier-Stokes equations for the first type and Darcy equations for the second type. Linear elastodynamics is used for the deformation of solids in our model. As a numerical solver we develop an efficient finite element method based on Galerkin-characteristic techniques in which same meshes are used for both fluid and solid domains. To speed up the numerical solver we opt for two procedures: (i) mesh adaptation using a criteria based on the gradient of thermal stresses to refine the meshes and (ii) enrichment of basis functions using a series of heaviside and exponential functions in our finite element solutions. The performance of the proposed models and methods is examined and validated using several benchmark problems in the natural and mixed convection flows.
my work is about simulation study on very hot fluid(air) flows over a solid, so thermal stresses are applied on the solid that can cause bending and deformation for the solid
Navier-stokes equations , Finite element, Galerkin method .... all are used to sole the and do the study in Fortran90
my simulation is on hot fluid (air) flows on a solid, that cause heat transfer and deformation ....... I need to mesh and use finite element method on both fluid which is air and solid
of course I will use Navier stokes equations to study the behaviour of the fluid
are you fimiliar with Navier-stokes equations??
see this attached file it will help you understanding it---2013-Lecture-6.pdf ..
this si the file we need to implement.
you see we wil do the simulation study on both the fluid as well as the solid