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FLUID ANALYSIS USING FICTITIOUS DOMAIN FINITE ELEMENT METHOD

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ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering M. Papadrakakis, V. Papadopoulos, G. Stefanou (eds.) Crete Island, Greece, 5–10 June 2016

FLUID ANALYSIS

USING FICTITIOUS DOMAIN FINITE ELEMENT METHOD

Y.Terakado

1

, and T.Kurahashi

2

1

Yukihiro Terakado

Graduate school of Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata, Japan

e-mail: [email protected]

2

Takahiko Kurahashi

Department of Mechanical Engineering, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata, Japan

[email protected]

Keywords: Fictitious domain method, Finite element method, Lagrange multiplier method, Incompressible viscose flow

Abstract. When the fluid analysis is carried out in the case that there is a moving object in

the flow field, the mesh regeneration method is applied due to the Adaptive mesh refinement

method. In addition, the Shear-Slip mesh update method is employed in case of rotating body

problems. On the other hand, a method using the flow domain overlapped with the moving

object is also proposed. In the finite difference method, a sub-grid is represented by moving

object, and a main-grid is used for flow field calculation. The Overset-grid is applied to the

fluid analysis to reflect the sub-grid to main-grid by the least-squares method. Furthermore,

the Immersed boundary method based on the finite volume method is also employed. In the

finite element analysis, the fictitious domain method is often adopted for the moving body

problems. In this method, the computational domain is divided into sub-domain and back-

ground domain. In addition, the formulation is carried out based on the Lagrange multiplier

method, and is applied to consider the velocity condition in the sub-domain. The finite ele-

ment fluid analysis is carried out to reflect the physical quantity of the sub-domain to back-

ground domain. Physical quantities at any points of the sub-domain can be obtained from the

physical quantities at each node by interpolation method. In this study, the flow field analysis

using the fictitious domain finite element method is carried out.

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