Mass conservation of finite element methods for coupled flow-transport problems
by G. Matthies, L. Tobiska
International Journal of Computing Science and Mathematics (IJCSM), Vol. 1, No. 2/3/4, 2007

Abstract: This paper gives an overview of the mass conservation properties of finite element discretisations applied to coupled flow-transport problems. The system is described by the instationary, incompressible Navier–Stokes equations and the time-dependent transport equation. Due to the incompressibility constraint, the weak solution of the transport equation satisfies a global mass conservation. Since the discretised velocity fulfils only a discrete incompressibility constraint, the global mass conservation is, in general, satisfied only approximately. Several discretisations which ensure the global mass conservation, also on the discrete level, will be studied.

Online publication date: Mon, 07-Jan-2008

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