A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains

By M. Linnick, Hermann F. Fasel. 2005

376 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources (2006, methodology): “Linnick [33] and Fasel developed a fourth-order immersed boundary scheme for flow past cylinders by using the compact finite difference scheme.”
A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions (2008, result): “First, we simulate flows over a stationary circular cylinder of diameter D and compare to previously published results [18,36].”
The immersed boundary method: A projection approach (2007, methodology): “We note in passing that Linnick and Fasel [24] recently developed a high order IIM that employs one-sided finite differences to obtain jump conditions for higher-order derivatives.”
An immersed boundary method for fluid–flexible structure interaction (2009, methodology): “Table 1 presents the results, including the recirculation length, drag coefficient, lift coefficient and Strouhal number, obtained using j = 10 and 10 as well as those from previous studies [30– 32].”
Hydrodynamic stability and breakdown of the viscous regime over riblets (2011, background): “The cylinder flow is a stringent test for immersed-boundary methods, since the detachment and transition to an unsteady wake are very sensitive to the geometry of the obstacle (Linnick & Fasel 2005).”