Premium
Numerical solution of the generalized Stokes problem for the flow in a channel
Author(s) -
Guo Daniel X.
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199705)13:3<237::aid-num2>3.0.co;2-o
Subject(s) - mathematics , conjugate gradient method , flow (mathematics) , column (typography) , channel (broadcasting) , algorithm , stokes problem , stokes flow , mathematical optimization , geometry , computer science , connection (principal bundle) , finite element method , telecommunications , physics , thermodynamics
In this article we introduce the separation of variables in the two‐dimensional generalized Stokes problem. −νΔu + αu + inverted delta p = f , for the flow in a channel. Also for the first time, we discuss the implementation of the Incremental Unknowns Method with a data structure of Compressed Column Storage. Two examples of application of the Incremental Unknowns method for this problem are presented in which we compare the CPU times of three methods: Conjugate Gradient (CG), Incremental Unknowns (IU), and Uzawa Algorithm (Uzawa). © 1997 John Wiley & Sons, Inc.