Symmetry-preserving discretization of turbulent flow

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A Self-Adaptive Strategy for the Time Integration of Navier-Stokes Equations (2011, methodology): “However, Verstappen and Veldman [1, 3] showed that a minor modification with respect to the original AB2 method may lead to similar computational cost as the RK3 method proposed in [6] without affecting the accuracy.”
Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows (2015, result): “Similar results have been reported in the finite difference context in [29], where it is shown that stable simulations of the TCF can be performed using an energy-preserving skew-symmetric formulation.”
A Volume-of-Fluid based simulation method for wave impact problems (2005, background): “(9), which is also an analytic property ( $ = (cid:2) ( $ Æ ) T ) [43].”
The Matrix Exponential (2015, neutral): “We use a fourth-order finite volume discretization in space from [48] on a regular mesh 40× 40× 40 and arrive at an initial-value problem (1.”