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Mathematics Group

Low Mach Number Models and Algorithms

Low Mach number models and algorithms solve the problem of vastly different wave speeds in a host of fluid calculations in which pressure waves move much faster than advection. Through a formal analysis based on a low Mach number expansion in the Navier-Stokes equations, the resulting methods solve a mathematically consistent set of equations for a spatially constant but time-varying pressure term coupled to the time-evolution of the fluid flow. They are the backbone of combustion calculations, shallow water oceanographic modeling, and nuclear flame simulations in supernovae.