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An adjoint-based pressure correction scheme
Citation key Reiss2016
Author Reiss, Julius
Pages 861–862
Year 2016
ISSN 1617-7061
DOI 10.1002/pamm.201610419
Journal PAMM
Volume 16
Number 1
Publisher WILEY-VCH Verlag
Abstract 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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