Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows

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Study of the mixed finite volume method for Stokes and Navier‐Stokes equations (2009, background): “4 Conservation of kinetics energy It has been noticed that, in order to obtain a stable and dissipation-free numerical method, one of the important behaviors of the scheme must be the conservation, at very high Reynolds numbers and with null source term, of the kinetics energy (see [14]).”
High order conservative finite difference scheme for variable density low Mach number turbulent flows (2007, methodology): “This method was used by Nicoud [16] to describe low Mach number flows using a variable coefficient Poisson equation.”
Symmetry-preserving discretization of turbulent flow (2003, background): “Nicoud [6] concerns a low-Mach number approximation for the Navier–Stokes equations where the energy conservation is violated unless an approximate state equation is used.”