A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance

JOURNAL OF COMPUTATIONAL PHYSICS

卷:316

Article

Bao, Yuanxun¹  Kaye, Jason¹  Peskin, Charles S.¹ 

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

关键词: Immersed boundary method;    Fluid structure interaction;    Discrete delta function;    Immersed-boundary kernel;    Translational invariance;   

DOI  :  10.1016/j.jcp.2016.04.024

来源: Elsevier

【 摘 要 】

The immersed boundary OM method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid described by Eulerian variables is coupled with the immersed structure described by Lagrangian variables via the use of the Dirac delta function. From a numerical standpoint, the Lagrangian force spreading and the Eulerian velocity interpolation are carried out by a regularized, compactly supported discrete delta function, which is assumed to be a tensor product of a single-variable immersed-boundary kernel. IB kernels are derived from a set of postulates designed to achieve approximate grid translational invariance, interpolation accuracy and computational efficiency. In this note, we present a new 6-point immersed-boundary kernel that is C-3 and yields a substantially improved translational invariance compared to other common IB kernels. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free