It is well established that oxygen-rich atmospheres can significantly reduce the ignition resistance of metallic materials, thereby exposing oxygen facilities to a risk of triggering a self-sustaining combustion reaction. The qualification of suitable materials for the design of oxygen facilities is ensured by an interpretation of ASTM G124-18 standard test results. However, the occurrence of incidents in installations complying with this standard indicates that we still do not completely understand this phenomenon and do not understand to what extent we can extrapolate test results to equipment geometry and operating conditions. In addition to the highly multiphysical nature of the combustion process, the strong coupling, and the difficulty of quantifying phenomena such as oxygen transport in a high-temperature liquid phase, metal combustion is known to produce large quantities of heat, and therefore high temperatures, in a very short time. This fact adds a further limitation to the understanding that can be achieved through experience; hence the need to resort to numerical simulation. The numerical model developed here under COMSOL Multiphysics and based on the ASTM G124-18 standard test is improved by laser ignition and considers heat transfer, fluid flow, and the transport of chemical species. Those phenomena are coupled under an Eulerian phase-field approach enhanced with an adaptive meshing refinement that enables precise tracking of the liquid/gas interface, solid deformation, and a complete description of the whole rod combustion process. In this paper, the model is mathematically described and physically discussed, and an experimental comparison through temperature measurements, drop shapes, and detachment time is presented. Finally, the authors conclude that a laser ignition experiment supported by this modeling approach improves our understanding of the mechanisms behind oxygen fires, paves the way for an ignition-resistant design of equipment, and allows us to predict the extent of propagation.