A second order accuracy in time for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
نویسندگان
چکیده
We study a second-order two-grid scheme fully discrete in time and space for solving the Navier-Stokes equations. The two-grid strategy consists in discretizing, in the first step, the fully nonlinear problem, in space on a coarse grid with mesh-size H and time step ∆t and, in the second step, in discretizing the linearized problem around the velocity uH computed in the first step, in space on a fine grid with mesh-size h and the same time step. The two-grid method has been applied for an analysis of a first order fully-discrete in time and space algorithm and we extend the method to the second order algorithm.
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