Open AccessAn Improved Hybrid Cartesian/Immersed Boundary Method for Flow Simulation with Moving Boundaries
Author(s) -
Guanting Su,
Mengzong Zheng,
Qiushi Li
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1985/1/012077
Subject(s) - discretization , cartesian coordinate system , boundary (topology) , immersed boundary method , interpolation (computer graphics) , singular boundary method , flow (mathematics) , boundary value problem , mathematics , cylinder , mathematical analysis , geometry , mechanics , physics , classical mechanics , boundary element method , finite element method , thermodynamics , motion (physics)
To simulate flow problems with moving fluid-solid interfaces, a boundary treatment technique based on a hybrid Cartesian/immersed boundary method is presented. In the vicinity of the immersed boundary, a forcing term is added into the governing flow equations to modify the discretization scheme for the viscous term during its spatial discretization. Addition of such a term enforces desired boundary condition on the immersed boundary. A one-dimensional linear interpolation scheme is used to obtained required information for the modified discretization scheme when dealing with a moving boundary. The present method is essentially second-order accurate and can obtain results that are in good agreement with benchmark references when simulating the flow induced by the in-line oscillation of a circular cylinder.