✦ LIBER ✦

Finite element multigrid methods for two-phase immiscible flow in heterogeneous media

✍ Scribed by Parsons, I. D. ;Coutinho, A. L. G. A.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 105 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199901)15:1<1::aid-cnm218>3.0.co;2-o

No coin nor oath required. For personal study only.

✦ Synopsis

Multigrid methods are described for solving the pressure equation arising from a ®nite element discretization of the equations modelling the ¯ow of two immiscible and incompressible ¯uids in a heterogeneous porous medium. Comparisons are made between the performance of these methods and a preconditioned conjugate gradient algorithm by solving some two-dimensional ®ve spot problems on both homogeneous and heterogeneous media. Multigrid appears more suitable for large, three-dimensional problems since the number of multigrid cycles required to solve the pressure equation remains constant as the problem size is increased.

📜 SIMILAR VOLUMES

Finite element method for two-phase immi

Finite element method for two-phase immiscible flow

✍ Wen Tao Sun; Huai Yu Zhang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 91 KB 👁 2 views

An explicit finite element method for numerically solving the two-phase, immiscible, incompressible flow in a porous medium in two space dimensions is analyzed. The method is based on the use of a mixed finite element method for the approximation of the velocity and pressure a discontinuous upwindin

A finite element analysis of multiphase

A finite element analysis of multiphase immiscible flow in deforming porous media for subsurface systems

✍ Lewis, Roland W. ;Schrefler, Bernard A. ;Rahman, Norhan Abd. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB 👁 2 views

Multiphase flow in heterogeneous porous

Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure–explicit saturation-based mixed finite element–finite volume approach

✍ R. Huber; R. Helmig 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 325 KB 👁 2 views

Various discretization methods exist for the numerical simulation of multiphase flow in porous media. In this paper, two methods are introduced and analyzed -a full-upwind Galerkin method which belongs to the classical finite element methods, and a mixed-hybrid finite element method based on an impl

MIXED TRANSFORM FINITE ELEMENT METHOD FO

MIXED TRANSFORM FINITE ELEMENT METHOD FOR SOLVING THE NON-LINEAR EQUATION FOR FLOW IN VARIABLY SATURATED POROUS MEDIA

✍ R. G. BACA; J. N. CHUNG; D. J. MULLA 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB 👁 2 views

A new computational method is developed for numerical solution of the Richards equation for flow in variably saturated porous media. The new method, referred to as the mixed transform finite element method, employs the mixed formulation of the Richards equation but expressed in terms of a partitione