Divergence-free tangential finite element methods for incompressible flows on surfaces.
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ABSTRACT:
SUBMITTER: Lederer PL
PROVIDER: S-EPMC8611805 | biostudies-literature | 2020 Jun
REPOSITORIES: biostudies-literature
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Divergence-free tangential finite element methods for incompressible flows on surfaces.
Lederer Philip L PL Lehrenfeld Christoph C Schöberl Joachim J
International journal for numerical methods in engineering 20200218 11
In this work we consider the numerical solution of incompressible flows on two-dimensional manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are known from the flat case one further has to deal with the approximation of a velocity field that lies only in the tangential space of the given geometry. Abandoning <i>H</i> <sup>1</sup>-conformity allows us to construct finite elements which are-due to an application of the Piola transformation-exactly tangential. To ...[more]
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