“…Subsequently, a vibrant eruption modeling community has produced advances on multiple fronts. Examples, which are by no means comprehensive, include: the conduit model of Dobran and Papale (Dobran and Papale, 1992;Papale and Dobran, 1993), which marked the beginnings of a succession of subsequent generations of conduit models; exploration of the role of conduit wall erosion and collapse (Macedonio et al, 1994;Aravena et al, 2017Aravena et al, , 2018; the loss of magmatic volatiles through conduit walls (Woods and Koyaguchi, 1994;Jaupart, 1998); the incorporation of bubble nucleation (Massol and Koyaguchi, 2005); the inclusion of disequilibrium bubble growth during eruptive magma ascent (Proussevitch and Sahagian, 2005); the coupling of magma chamber and conduit (Bower and Woods, 1998;Huppert and Woods, 2002;Macedonio et al, 2005, Anderson andSegall, 2011), including crystallization and the formation of plugs and domes (Schneider et al, 2012;Kozono andKoyaguchi, 2012, Wong et al, 2017); coupling of dykes and cylindrical geometries together with elastic wall-rock deformation (Costa et al, 2007a); time-dependent eruption models constrained using observations in a Bayesian framework (Anderson and Segall, 2013;Wong and Segall 2020); forays into transient two-phase (gas-melt) flow in one-dimension (Melnik et al, 2005;La Spina et al, 2017); magma flow in dikes (Woods et al, 2006); and dike propagation (Weertman 1971;Rubin, 1995;Mériaux and Jaupart, 1998;Dahm, 2000;Segall et al, 2001). Especially notable in this context are the publicly available user-friendly CONFLOW model of Mastin and Ghiorso (2000) and the conduit model intercomparison workshop discussed in Sahagian (2005).…”