A new explicit variable-density pressure projection method is proposed with a focus on transient low-Mach-number reacting flows. Our approach is based on solving the pressure Poisson equation and is suitable for implementation in fully-explicit codes. The method thus requires less computational effort compared to existing variable-density projection techniques which rely on an implicit solution of the pressure. Our approach has been verified against closed-form analytical solutions as well as manufactured solutions for time-varying, variable density test cases. These cases range from predominantly diffusive to purely convective conditions, and are suitable for use in verification of transient, variable-density flow codes such as those employed in low-Mach-number turbulent combustion simulations.
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