Towards direct numerical simulations of low-Mach number turbulent reacting and two-phase flows using immersed boundaries

•High-order DNS tool has been developed for computing turbulent reacting and two-phase flows•Immersed boundaries implemented to describe complex geometries and moving particles•Description of a comprehensive verification and validation campaign for DNS of reacting flows•On-the-fly visualization and analysis using the ParaView Catalyst framework•Efficient DNS simulation of spray combustion with a kinetic involving 44 species and 114 reactions