Law of the wall with consistent no-slip limit

Abstract

Law of the wall boundary conditions have been used for many years to increase convergence of computations by allowing the grid to be coarser near no-slip walls. Previous law of the wall implementations can be very complex and require resetting flow variables. These formulations also did not automatically revert to the solve-to-the-wall no-slip condition. The current implementation of law of the wall is very simple, involving only the modification of the wall flux, not resetting any flow quantities, and reverts to a no-slip boundary condition as the first grid point off the wall gets fine enough (within the sublayer).