Low-Mach number treatment for Finite-Volume schemes on unstructured meshes

dc.contributor.authorSimmonds, Nicholas
dc.contributor.authorTsoutsanis, Panagiotis
dc.contributor.authorAntoniadis, Antonis F.
dc.contributor.authorJenkins, Karl W.
dc.contributor.authorGaylard, Adrian
dc.date.accessioned2018-06-29T14:03:18Z
dc.date.available2018-06-29T14:03:18Z
dc.date.issued2018-05-26
dc.description.abstractThe paper presents a low-Mach number (LM) treatment technique for high-order, Finite-Volume (FV) schemes for the Euler and the compressible Navier–Stokes equations. We concentrate our efforts on the implementation of the LM treatment for the unstructured mesh framework, both in two and three spatial dimensions, and highlight the key differences compared with the method for structured grids. The main scope of the LM technique is to at least maintain the accuracy of low speed regions without introducing artefacts and hampering the global solution and stability of the numerical scheme. Two families of spatial schemes are considered within the k-exact FV framework: the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) and the Weighted Essentially Non-Oscillatory (WENO). The simulations are advanced in time with an explicit third-order Strong Stability Preserving (SSP) Runge–Kutta method. Several flow problems are considered for inviscid and turbulent flows where the obtained solutions are compared with referenced data. The associated benefits of the method are analysed in terms of overall accuracy, dissipation characteristics, order of scheme, spatial resolution and grid composition.en_UK
dc.identifier.citationSimmonds N, Tsoutsanis P, Antoniadis AF, et al., Low-Mach number treatment for Finite-Volume schemes on unstructured meshes. Applied Mathematics and Computation, Volume 336, November 2018, pp. 368-393en_UK
dc.identifier.cris20683440
dc.identifier.issn0096-3003
dc.identifier.urihttps://doi.org/10.1016/j.amc.2018.04.076
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/13293
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectLow-Mach treatmenten_UK
dc.subjectWENOen_UK
dc.subjectUnstructured meshen_UK
dc.subjectFinite-Volumeen_UK
dc.titleLow-Mach number treatment for Finite-Volume schemes on unstructured meshesen_UK
dc.typeArticleen_UK

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