High-order time stepping for the Navier-Stokes equations with minimal computational complexity

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• 作者：Jean-Luc Guermond^a ; ¹ ; ^{guermond@math.tamu.edu" class="auth_mail" title="E-mail the corresponding author} ; Peter D. Minev^b ; ^{minev@ualberta.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65N12 ; 65N15 ; 35Q30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：310
• 期：Complete
• 页码：92-103
• 全文大小：518 K

文摘

In this paper we present extensions of the schemes proposed in Guermond and Minev (2015) that lead to a decoupling of the velocity components in the momentum equation. The new schemes reduce the solution of the incompressible Navier–Stokes equations to a set of classical scalar parabolic problems for each Cartesian component of the velocity. The pressure is explicitly recovered after the velocity is computed.