Treatment of Internal Boundary Based on Nitsche's Method for Characteristic Galerkin Procedure Using Spline Function

• KIMURA Tatsuya

  横浜国立大学大学院環境情報学府

• MARUOKA Akira

  八戸工業高等専門学校　建設環境工学科

• YAMADA Takahiro

  横浜国立大学　大学院環境情報研究院

• MATSUI Kazumi

  横浜国立大学　大学院環境情報研究院

Bibliographic Information

Other Title

• スプラインによる特性Galerkin法におけるNitscheの方法に基づく境界組み込み手法

Abstract

The purpose of this paper is to solve a problem of incompressible flow in a domain which includes an internal boundary on which a Dirichlet boundary condition is imposed. We use the characteristic Galerkin scheme using B-spline basis functions based on the mixed formulation for computing incompressible flow. We employ the Lagrange multiplier method on a treatment of the internal boundary, and integrate with the Nitsche's method to overcome instability which may occur on failure of the LBBK condition. In order to confirm effectivity of the present scheme, we perform the flow around a circular cylinder.

Journal

• Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

  Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 69 (2), I_87-I_94, 2013

  Japan Society of Civil Engineers

Keywords

• Nitsche's method
• Lagrange multiplier method
• spline
• characteristic Galerkin method

Details

• CRID: 1390282680326945152
• NII Article ID: 130004557417
• DOI: 10.2208/jscejam.69.i_87
• ISSN: 21854661
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed