Abstract
An adaptive implicit/explicit algorithm for the solution of viscous compressible flows is presented. The algorithm is based on the general family of Taylor-Galerkin models, with several parameters controlling the actual implicitness of the scheme. This algorithm is combined with adaptive mesh refinement and adaptive selection of implicit and explicit zones. Several criteria for the selection of these zones are presented. The performance of the scheme is illustrated by several examples of two-dimensional inviscid and viscous flows.
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