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dc.contributor.authorVentosa Molina, Jordi
dc.contributor.authorChiva Segura, Jorge
dc.contributor.authorLehmkuhl, Oriol
dc.contributor.authorMuela Castro, Jordi
dc.contributor.authorPérez Segarra, Carlos David
dc.contributor.authorOliva Llena, Asensio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics
dc.identifier.citationVentosa-Molina, J., Chiva, J., Lehmkuhl, O., Muela, J., Perez, C., Oliva, A. Numerical analysis of conservative unstructured discretisations for low Mach flows. "International journal for numerical methods in fluids", 1 Desembre 2016, vol. 84, num. 6, p. 309-333.
dc.descriptionThis article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
dc.description.abstractUnstructured meshes allow easily representing complex geometries and to refine in regions of interest without adding control volumes in unnecessary regions. However, numerical schemes used on unstructured grids have to be properly defined in order to minimise numerical errors. An assessment of a low-Mach algorithm for laminar and turbulent flows on unstructured meshes using collocated and staggered formulations is presented. For staggered formulations using cell centred velocity reconstructions the standard first-order method is shown to be inaccurate in low Mach flows on unstructured grids. A recently proposed least squares procedure for incompressible flows is extended to the low Mach regime and shown to significantly improve the behaviour of the algorithm. Regarding collocated discretisations, the odd-even pressure decoupling is handled through a kinetic energy conserving flux interpolation scheme. This approach is shown to efficiently handle variable-density flows. Besides, different face interpolations schemes for unstructured meshes are analysed. A kinetic energy preserving scheme is applied to the momentum equations, namely the Symmetry-Preserving (SP) scheme. Furthermore, a new approach to define the far-neighbouring nodes of the QUICK scheme is presented and analysed. The method is suitable for both structured and unstructured grids, either uniform or not. The proposed algorithm and the spatial schemes are assessed against a function reconstruction, a differentially heated cavity and a turbulent self-igniting diffusion flame. It is shown that the proposed algorithm accurately represents unsteady variable-density flows. Furthermore, the QUICK schemes shows close to second order behaviour on unstructured meshes and the SP is reliably used in all computations.
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
dc.subject.lcshFluid dynamics
dc.subject.otherLow Mach
dc.subject.otherSegregated algorithm
dc.subject.otherReacting flows
dc.titleNumerical analysis of conservative unstructured discretisations for low Mach flows
dc.subject.lemacDinàmica de fluids
dc.contributor.groupUniversitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorVentosa-Molina, J.; Chiva, J.; Lehmkuhl, O.; Muela, J.; Perez, C.; Oliva, A.
upcommons.citation.publicationNameInternational journal for numerical methods in fluids

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