The fictitious domain method for the Navier-Stokes equations in natural variables

2021

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DOI 10.1063/5.0040727
Data confidence 70 medium
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Abstract

In this paper, we consider a variant of the fictitious domain method associated with the modification of nonlinear terms in a fictitious subdomain. The model problem shows the effectiveness of using this modification. The proposed version of the method is used to solve the problem of an arbitrary region and to set a boundary condition for pressure. A numerical solution is implemented and the results of numerical results are given.