A pressure-based solver for low-Mach number flow using a discontinuous Galerkin method

Abstract Over the past two decades, there has been much development in discontinuous Galerkin methods for incompressible flows and compressible with a positive Mach number, but almost no attention paid to variable-density at low speeds. This paper presents pressure-based method flow low-Mach number limit. We use pressure correction method, which is simplified by solving mass flux instead of velocity. The fluid properties do not depend significantly on pressure, may vary strongly space time as function temperature. pay particular temporal discretization enthalpy equation, show that specific needs be ‘offset’ constant order finite difference stable. also how one can solve from conservative transport equation without needing predictor step density. These findings spatial discretization. A series manufactured solutions variable demonstrate full second-order accuracy, iterating equations within step. simulate Von Karman vortex street wake heated circular cylinder, good agreement between our numerical results experimental data.