𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations

✍ Scribed by Thomas Y. Hou; Zuoqiang Shi

Book ID
108164177
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
426 KB
Volume
227
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An efficient semi-implicit immersed boun
An efficient semi-implicit immersed boundary method for the Navier–Stokes equations
✍ Thomas Y. Hou; Zuoqiang Shi πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 587 KB

The immersed boundary method is one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to require small time steps to maintain stability when solved with an explicit method. Many implicit or approximately im

An immersed boundary method for the inco
An immersed boundary method for the incompressible Navier–Stokes equations in complex geometry
✍ Tony W. H. Sheu; H. F. Ting; R. K. Lin πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 718 KB

## Abstract A nodally exact convection–diffusion–reaction scheme developed in Cartesian grids is applied to solve the flow equations in irregular domains within the framework of immersed boundary (IB) method. The artificial momentum forcing term applied at certain points in the flow and inside the

An efficient numerical method for the tw
An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary
✍ Anita T. Layton πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 203 KB

We consider the immersed boundary problem in which the boundary separates two very viscous fluids with differing viscosities. The moving elastic boundary may exert a force on the local fluid. The model solution is obtained using the immersed interface method, which computes second-order accurate app

The boundary contour method based on the
The boundary contour method based on the equivalent boundary integral equation for 2-D linear elasticity
✍ Shenjie, Zhou ;Shuxun, Sun ;Zhiyuan, Cao πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 2 views

The conventional boundary integral equation in two dimensions is non-equivalent to its corresponding boundary value problem when the scale in the fundamental solution reaches its degenerate scale values. An equivalent boundary integral equation was recently derived. This equation has the same soluti

Analysis of Stiffness in the Immersed Bo
Analysis of Stiffness in the Immersed Boundary Method and Implications for Time-Stepping Schemes
✍ John M. Stockie; Brian R. Wetton πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 180 KB

The immersed boundary method is known to exhibit a high degree of numerical stiffness associated with the interaction of immersed elastic fibres with the surrounding fluid. We perform a linear analysis of the underlying equations of motion for immersed fibres, and identify a discrete set of fibre mo