Characteristic Galerkin Scheme Based on Mixed B-spline Approximations for Incompressible Flows

• 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

Bibliographic Information

Other Title

• 非圧縮性流れにおける混合型Bスプライン近似に基づく特性ガラーキン法

Abstract

We propose a characteristic Galerkin scheme using B-spline basis functions based on a mixed formulation for incompressible flows which is capable of being second-order accurate in time. One of significant features of the B-spline basis functions is that the B-spline basis functions of p degrees have at most C^p−1 continuous derivatives although classical finite elements based on Lagrange polynomials have only C⁰ continuous derivatives. We use the mixed formulation to velocity and pressure fields, which satisfies the inf-sup condition. The velocity element is obtained by a subgrid of the pressure element. The pair of the pressure and velocity elements is referred to as the subgrid (SG) element, and it allows for both velocity and pressure at the highest regularity. In order to confirm effectivity of the present scheme, we perform some numerical experiments.

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)) 68 (2), I_149-I_160, 2012

  Japan Society of Civil Engineers

Keywords

• B-spline
• characteristic Galerkin
• mixed formulation
• incompressible flow

Details

• CRID: 1390282680326614272
• NII Article ID: 130004557254
• DOI: 10.2208/jscejam.68.i_149
• ISSN: 21854661
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed