The Das-Moser commutator closure for filtering through a boundary is well-posed

When filtering through a wall with constant averaging radius, in addition to the subfilter scale stresses, a non-closed commutator term arises. We consider a proposal of Das and Moser to close the commutator error term by embedding it in an optimization probem. This report shows that this optimization based closure, with a small modification, leads to a well posed problem showing existence of a minimizer. We also derive the associated first order optimality conditions. Key words. Turbulence, large eddy simulation, optimal control, Navier-Stokes, commutator error.

• Type: Journal
• Year: 2011
• Where: MCM
• Authors: William Layton, Catalin Trenchea
• Keywords: Applied Computing, Commutator Error, Commutator Error Term, MCM 2011, Non-closed Commutator Term