English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Strongly coupled immersed boundary (IB) methods solve the nonlinear fluid andstructural equations of motion simultaneously for strongly enforcing theno-slip constraint on the body. Handling this constraint requires solvingseveral large dimensional systems that scale by the number of grid points inthe flow domain even though the nonlinear constraints scale only by the smallnumber of points used to represent the fluid-structure interface. These costlylarge scale operations for determining only a small number of unknowns at theinterface creates a bottleneck to efficiently time-advancing strongly coupledIB methods. In this manuscript, we present a remedy for this bottleneck that ismotivated by the efficient strategy employed in stationary-body IB methodswhile preserving the favorable stability properties of strongly coupledalgorithms -- we precompute a matrix that encapsulates the large dimensionalsystem so that the prohibitive large scale operations need not be performed atevery time step. This precomputation process yields a modified system ofsmall-dimensional constraint equations that is solved at minimal computationalcost while time advancing the equations. We also present a parallelimplementation that scales favorably across multiple processors. The accuracy,computational efficiency and scalability of our approach are demonstrated onseveral two dimensional flow problems. Although the demonstration problemsconsist of a combination of rigid and torsionally mounted bodies, theformulation is derived in a more general setting involving an arbitrary numberof rigid, torsionally mounted, and continuously deformable bodies.

A strongly coupled immersed boundary method for fluid-structure interaction that mimics the efficiency of stationary body methods