A LOW-RANK ALGORITHM FOR WEAKLY COMPRESSIBLE FLOW.

In this paper, we propose a numerical method f or solving weakly compressible fluid flow based on a dynamical low-rank pro jector splitting. The low-rank splitting scheme is applied to the Boltzmann equation with BGK collision term, which results in a set of constant-coefficient advection equations. This procedure is numerically efficient as a small rank is sufficient to obtain the relevant dynamics (described by the Navier--Stokes equations). The resulting method can be combined with a range of different discretization strategies; in particular, it is possible to implement spectral and semi-Lagrangian methods, which allows us to design numerical schemes that are not encumbered by the sonic CFL condition. [ABSTRACT FROM AUTHOR]