An adjoint-based pressure correction scheme
Incompressible flows are solenoidal, i. e. the divergence of the flow field is zero. This is an algebraic constraint on the solution in time. The pressure has to be determined, so that the constraint is fulfilled. To calculate the pressure often a Poisson equation is derived, which is then solved by...
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| Published in | Proceedings in applied mathematics and mechanics Vol. 16; no. 1; pp. 861 - 862 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin
WILEY-VCH Verlag
01.10.2016
WILEY‐VCH Verlag |
| Online Access | Get full text |
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| Summary: | Incompressible flows are solenoidal, i. e. the divergence of the flow field is zero. This is an algebraic constraint on the solution in time. The pressure has to be determined, so that the constraint is fulfilled. To calculate the pressure often a Poisson equation is derived, which is then solved by an iterative method. Instead of this the constraint is here formulated as an optimization problem. The objective functional is taken as the square of the norm of the divergence. A gradient based optimization is performed to calculate the pressure in every time step of the simulation. By this an alternative iterative scheme is derived. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Bibliography: | istex:7A885181F0B0333ED9F3A2E8AB19F366BEE175C1 ark:/67375/WNG-3BKX0V7F-R ArticleID:PAMM201610419 |
| ISSN: | 1617-7061 1617-7061 |
| DOI: | 10.1002/pamm.201610419 |