𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite element formulation for phase-change problems with advective effects

✍ Scribed by Celentano, Diego


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
191 KB
Volume
14
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis


A ®nite element formulation for solving transient multidimensional phase-change problems considering advective eects is presented. This temperature-based formulation includes the de®nition of a phase-change function able to deal with classical isothermal and non-isothermal phase-change cases. Moreover, a new upwind weight function is de®ned in order to avoid numerical oscillations in problems with dominant advective eects. Further, some important aspects related to its numerical implementation are also addressed. The ability of this methodology is illustrated, ®rstly, in the solution of a one-dimensional test example. Finally, the numerical simulation of a direct-chill continuous casting process is performed.


📜 SIMILAR VOLUMES


A general procedure for deriving stabili
✍ E. Oñate; M. Manzán 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 339 KB 👁 2 views

A procedure to derive stabilized space-time finite element methods for advective -diffusive problems is presented. The starting point is the stabilized balance equation for the transient case derived by On ˜ate [Comput. Methods Appl. Mech. Eng., 151, 233-267 (1998)] using a finite increment calculus

Mesh adaptive finite element formulation
✍ Staf Roels; Jan Carmeliet; Hugo Hens 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 373 KB 👁 1 views

Wetting or drying of most open porous building materials is characterized by a sharp moving waterfront. Due to the high moisture gradients at the waterfront, an accurate "nite element simulation requires a very "ne mesh. To reduce computational costs a mesh adaptive method based on the Arbitrary Lag

A finite element method for plane stress
✍ Kirchner, E. ;Reese, St. ;Wriggers, P. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 217 KB 👁 2 views

A two-dimensional ®nite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for ®nite deformation problems with large elastic and plastic strains. A

Implementation of a least-squares finite
✍ I. O. Arushanian; G. M. Kobelkov 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 62 KB 👁 2 views

The implementation of a least-squares finite element method for solving the generalized stationary Stokes problem (i.e. the Stokes problem with an additional term αu in the motion equation, where α is a big parameter and u is the velocity vector function) is considered. The basis of this method is t

On hybrid stress, hybrid strain and enha
✍ Carlo Sansour; Jozef Bocko 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 1 views

The paper is concerned with the ÿnite element formulation of a recently proposed geometrically exact shell theory with natural inclusion of drilling degrees of freedom. Stress hybrid ÿnite elements are contrasted by strain hybrid elements as well as enhanced strain elements. Numerical investigations