Abstract
This paper is a continuation of the domain decomposition method according to the physics scale proposed in [1] and [2]. Starting from systems of ordinary differential equations, a solution is decomposed into an outer solution (0) and its boundary layer corrections (BLC) mainly on the fixed boundary. For efficient numerical solution, different equations, different numerical methods and different grids can be suitably chosen for the different scales. This paper also gives the characteristic nature and wellposed boundary condition about artificial compressible equations. Numerical experiments show that the computational method and the couple process presented in the paper are effective.
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