A spectral element formulation of the immersed boundary method for Newtonian fluids

作者：Rowlatt C F; Phillips T N^*

来源：Computer Methods in Applied Mechanics and Engineering, 2016, 298: 29-57.

DOI：10.1016/j.cma.2015.08.010

• Immersed boundary method
• Spectral element
• Newtonian
• Fluid-structure interaction

A spectral element formulation of the immersed boundary method (IBM) is presented. The spectral element formulation (SE-IBM) is a generalisation of the finite element immersed boundary method (FE-IBM) based on high-order approximations of the fluid variables. Several schemes for tracking the movement of the immersed boundary are considered and a semi-implicit Euler scheme is shown to offer advantages in terms of accuracy and efficiency. High-order spectral element approximations provide improved area conservation properties of the IBM due to the incompressibility constraint being more accurately satisfied. Superior orders of convergence are obtained for SE-IBM compared with FE-IBM in both L-2 and H-1 norms. The area conservation and convergence properties of the scheme are demonstrated on a series of benchmark problems.

• 出版日期2016-1-1