Discontinuous Galerkin finite element investigation on the fully-compressible Navier–Stokes equations for microscale shock-channels

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dc.contributor.authorZingaro, Alberto
dc.contributor.authorKönözsy, László Z.
dc.date.accessioned2018-02-13T11:22:55Z
dc.date.available2018-02-13T11:22:55Z
dc.date.issued2018-02-03
dc.description.abstractMicrofluidics is a multidisciplinary area founding applications in several fields such as the aerospace industry. Microelectromechanical systems (MEMS) are mainly adopted for flow control, micropower generation and for life support and environmental control for space applications. Microflows are modeled relying on both a continuum and molecular approach. In this paper, the compressible Navier–Stokes (CNS) equations have been adopted to solve a two-dimensional unsteady flow for a viscous micro shock-channel problem. In microflows context, as for the most gas dynamics applications, the CNS equations are usually discretized in space using finite volume method (FVM). In the present paper, the PDEs are discretized with the nodal discontinuous Galerkin finite element method (DG–FEM) in order to understand how the method performs at microscale level for compressible flows. Validation is performed through a benchmark test problem for microscale applications. The error norms, order of accuracy and computational cost are investigated in a grid refinement study, showing a good agreement and increasing accuracy with reference data as the mesh is refined. The effects of different explicit Runge–Kutta schemes and of different time step sizes have also been studied. We found that the choice of the temporal scheme does not really affect the accuracy of the numerical results.en_UK
dc.identifier.citationAlberto Zingaro and László Könözsy. Discontinuous Galerkin finite element investigation on the fully-compressible Navier–Stokes equations for microscale shock-channels. Aerospace, Volume 5, Issue 1, article number 16en_UK
dc.identifier.issn2226-4310
dc.identifier.urihttps://doi.org/10.3390/aerospace5010016
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/12989
dc.language.isoenen_UK
dc.publisherMDPIen_UK
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectcomputational fluid dynamics (CFD)en_UK
dc.subjectmicrofluidicsen_UK
dc.subjectnumerical methodsen_UK
dc.subjectgasdynamicsen_UK
dc.subjectshock-channelen_UK
dc.subjectmicroelectromechanical systems (MEMS)en_UK
dc.subjectdiscontinuous Galerkin finite element method (DG–FEM)en_UK
dc.subjectfluid mechanicsen_UK
dc.titleDiscontinuous Galerkin finite element investigation on the fully-compressible Navier–Stokes equations for microscale shock-channelsen_UK
dc.typeArticleen_UK

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