Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6916545 | Computer Methods in Applied Mechanics and Engineering | 2016 | 29 Pages |
Abstract
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 L2 and H1 norms. The area conservation and convergence properties of the scheme are demonstrated on a series of benchmark problems.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C.F. Rowlatt, T.N. Phillips,