2022
DOI: 10.1016/j.compfluid.2021.105272
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A non-oscillatory face-centred finite volume method for compressible flows

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Cited by 9 publications
(19 citation statements)
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“…The traces of the FCFV convective and diffusive inter-cell numerical fluxes Huerta, 2018, 2019;Vieira et al, 2020;Vila-Pérez et al, 2022) are expressed as…”
Section: Inter-cell Numerical Fluxesmentioning
confidence: 99%
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“…The traces of the FCFV convective and diffusive inter-cell numerical fluxes Huerta, 2018, 2019;Vieira et al, 2020;Vila-Pérez et al, 2022) are expressed as…”
Section: Inter-cell Numerical Fluxesmentioning
confidence: 99%
“…From equation (8), it follows that the deviatoric strain rate tensor can thus be expressed as a function of the symmetric part of the gradient of the velocity. Moreover, Voigt notation is employed to store only the non-redundant components of the second-order tensor as detailed in (Vila-Pérez et al , 2022; Sevilla et al , 2018b; Giacomini et al , 2018, 2020; La Spina et al , 2020a, 2020b; Vila-Pérez et al , 2021).…”
Section: Fcfv Approximation Of Compressible Flowsmentioning
confidence: 99%
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“…From equation ( 8), it follows that the deviatoric strain rate tensor can thus be expressed as a function of the symmetric part of the gradient of the velocity. Moreover, Voigt notation is employed to store only the non-redundant components of the second-order tensor as detailed in (Vila-Pérez et al, 2022;Giacomini et al, 2018;Giacomini, Sevilla and Huerta, 2020;Vila-Pérez et al, 2021).…”
Section: Fcfv Approximation Of Compressible Flowsmentioning
confidence: 99%
“…The position of the unknowns yields a first classification of FV approaches into the vertex-centred finite volume (VCFV) method, which defines the degrees of freedom of the solution at the mesh nodes, and the cell-centred finite volume (CCFV) rationale, locating the unknowns at the centroid of each cell (Eymard, Gallouët and Herbin, 2000;Morton and Sonar, 2007;Leveque, 2013;Barth, Herbin and Ohlberger, 2017;Cardiff and Demirdžić, 2021). More recently, a new FV paradigm, the so-called facecentred finite volume (FCFV) method, was introduced by positioning the unknowns of the system at the barycentre of each face and eliminating all the degrees of freedom within the cells by means of a hybridisation procedure Huerta, 2018, 2019;Vieira et al, 2020;Vila-Pérez et al, 2022). To transmit the necessary information across the interface between two neighbouring cells, suitable numerical fluxes are then defined based on approximate Riemann solvers (LeVeque, 1992;Toro, 2009;Hesthaven, 2017).…”
Section: Introductionmentioning
confidence: 99%