Development of high accurate characteristic Galerkin scheme on CFD using NURBS basis functions

2014 Fiscal Year Final Research Report

• Project/Area Number: 24560590
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Structural engineering/Earthquake engineering/Maintenance management engineering
• Research Institution: Hachinohe National College of Technology
• Principal Investigator: MARUOKA Akira 八戸工業高等専門学校, 建設環境工学科, 准教授 (30310973)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 数値流体力学 / ＮＵＲＢＳ / Ｂスプライン / アイソジオメトリック解析 / 特性ガラーキン法 / ラグランジュ未定乗数法 / ニッチェの方法

Outline of Final Research Achievements

The purpose of this study is to develop a new CFD (computational fluid dynamics) scheme with high accuracy to compute incompressible flow fields. We have focused on the NURBS (non-uniform rational basis spline) basis functions, which are commonly used in the CAD (computer aided design) to represent geometry. In the present scheme, we have used the NURBS not only to represent domain and boundary for the CFD but also to approximate unknown functions such as velocity and pressure, and have applied the characteristic Galerkin scheme based on the characteristic curve method to compute advection dominated flow fields accurately.
Furthermore, in order to solve a problem of incompressible flow in a domain which includes an internal boundary on which a Dirichlet boundary condition is imposed, we have employed the Lagrange multiplier method integrated with the Nitsche's method on a treatment of the internal boundary.

Free Research Field

工学