A locally DIV-free projection scheme for incompressible flows based on non-conforming finite elements
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Bibliographic record
Abstract
We present a projection scheme whose end-of-step velocity is locally pointwise divergence free, using a continuous ℙ1 approximation for the velocity in the momentum equation, a first-order Crouzeix–Raviart approximation at the projection step, and a ℙ0 approximation for the pressure in both steps. The analysis of the scheme is done only for grids that guarantee the existence of a divergence free conforming ℙ1 interpolant for the velocity. Optimal estimates for the velocity error in L2- and H1-norms are deduced. The numerical results demonstrate that these estimates should also hold on grids on which the continuous ℙ1 approximation for the velocity locks. Since the end-of-step velocity is locally solenoidal, the scheme is recommendable for problems requiring good mass conservation. Copyright © 2005 John Wiley & Sons, Ltd.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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