✦ LIBER ✦

A parallel domain decomposition method for coupling of surface and groundwater flows

✍ Scribed by Bin Jiang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 301 KB
Volume: 198
Category: Article
ISSN: 0045-7825
DOI: 10.1016/j.cma.2008.11.001

No coin nor oath required. For personal study only.

✦ Synopsis

a b s t r a c t

In this paper, we construct a robust parallel method based on a recently developed non-overlapping domain decomposition methodology to accurately model natural coupling of surface and groundwater flows. Stokes and Darcy equations are formulated and solved within the surface and subsurface regions, respectively. A new type of Robin-Robin boundary condition is proposed on the common boundary for the coupling of those systems. The formulation provides great flexibility for multi-physics coupling and is suitable for efficient parallel implementation. Meanwhile, it is stable with inherent system parameter variation. A numerical example is provided to verify the theory.

📜 SIMILAR VOLUMES

Coupling of a non-overlapping domain dec

Coupling of a non-overlapping domain decomposition method for a nodal finite element method with a boundary element method

✍ Y. Boubendir; A. Bendali; M. B. Fares 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 439 KB 👁 1 views

## Abstract Non‐overlapping domain decomposition techniques are used to solve the finite element equations and to couple them with a boundary element method. A suitable approach dealing with finite element nodes common to more than two subdomains, the so‐called cross‐points, endows the method with

A defect equation approach for the coupl

A defect equation approach for the coupling of subdomains in domain decomposition methods

✍ C.-H. Lai; A.M. Cuffe; K.A. Pericleous 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 855 KB

A defect equation for the coupling of nonlinear subpmblems defined in nonoverlapped subdomains arise in domain decomposition methods is presented. Numerical solutions of defect equations by means of quasi-Newton methods are considered.

Performance of fully coupled algebraic m

Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport

✍ Paul T. Lin; Marzio Sala; John N. Shadid; Ray S. Tuminaro 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 884 KB

An optimization-based domain decompositi

An optimization-based domain decomposition method for numerical simulation of the incompressible Navier-Stokes flows

✍ Fande Kong; Yichen Ma; Junxiang Lu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 744 KB

A new parallel domain decomposition meth

A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

✍ Randolph E. Bank; Peter K. Jimack 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 323 KB 👁 2 views

GENSMAC: A Computational Marker and Cell

GENSMAC: A Computational Marker and Cell Method for Free Surface Flows in General Domains

✍ Murilo F. Tome; Sean McKee 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 828 KB

A computer program for solving two-dimensional incompressible viscous fluid flow in general domains is described. This is based on the simplified Marker and cell technique, but it has a number of novel features. A user-supplied data file of coordinates prescribes the fluid domain which can be quite