Modelling convection in solidification processes using stabilized finite element techniques
نویسندگان
چکیده
منابع مشابه
Modelling dendritic solidification with melt convection using the extended finite element method
Dendritic solidification of pure materials from an undercooled melt is studied using the extended finite element method/level set method for modelling the thermal problem and a volume-averaged stabilized finite element formulation for modelling fluid flow. The extended finite element method using evolving enrichment functions allows accurate modelling of the discontinuous thermal conditions at ...
متن کاملFinite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملStabilized Finite Element Methods
We give a brief overview of stabilized finite element methods and illustrate the developments applied to the advection-diffusion equation.
متن کاملA Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes
A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid describing the motion of the mixture. In cylindrical coordinates, and if an axially symmetric solution is assumed, the original problem reduces t...
متن کاملOptimal control of the convection-diffusion equation using stabilized finite element methods
In this paper we analyze discretization of optimal control problems governed by convection-diffusion equations which are subject to pointwise control constraints. We present a stabilization scheme which leads to improved approximate solutions even on corse meshes in the convection dominated case. Moreover, the in general different approaches “optimize-then-discretize” and “discretize-then-optim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2005
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.1423