Abstract
The use of low-order elements for approximating fluid flow is attractive because all the elemental contributions can be quickly and easily obtained. One of the drawbacks is that low-order elements often give rise to spurious pressure modes or incompatible velocity and pressure approximations. In this paper linear velocity and linear pressure elements are described for both two- and three-dimensional flow that always produce stable solutions provided the elements are assembled into simple macroelements following easily used rules. Some examples of this idea are given for Stokes flow and compared with another popular low-order method.
| Original language | English |
|---|---|
| Pages (from-to) | 579-591 |
| Number of pages | 13 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 9 |
| Issue number | 5 |
| Publication status | Published - Sep 1993 |
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ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Computational Mathematics
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Low-order macroelements for two- and three-dimensional Stokes flow. / Nafa, K.; Thatcher, R. W.
In: Numerical Methods for Partial Differential Equations, Vol. 9, No. 5, 09.1993, p. 579-591.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Low-order macroelements for two- and three-dimensional Stokes flow
AU - Nafa, K.
AU - Thatcher, R. W.
PY - 1993/9
Y1 - 1993/9
N2 - The use of low-order elements for approximating fluid flow is attractive because all the elemental contributions can be quickly and easily obtained. One of the drawbacks is that low-order elements often give rise to spurious pressure modes or incompatible velocity and pressure approximations. In this paper linear velocity and linear pressure elements are described for both two- and three-dimensional flow that always produce stable solutions provided the elements are assembled into simple macroelements following easily used rules. Some examples of this idea are given for Stokes flow and compared with another popular low-order method.
AB - The use of low-order elements for approximating fluid flow is attractive because all the elemental contributions can be quickly and easily obtained. One of the drawbacks is that low-order elements often give rise to spurious pressure modes or incompatible velocity and pressure approximations. In this paper linear velocity and linear pressure elements are described for both two- and three-dimensional flow that always produce stable solutions provided the elements are assembled into simple macroelements following easily used rules. Some examples of this idea are given for Stokes flow and compared with another popular low-order method.
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UR - http://www.scopus.com/inward/citedby.url?scp=0027657124&partnerID=8YFLogxK
M3 - Article
VL - 9
SP - 579
EP - 591
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
SN - 0749-159X
IS - 5
ER -