“…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).…”