IMMERSED BOUNDARY METHODS

By Rajat Mittal, Gianluca Iaccarino. 2005

3,645 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/36984d6844577df714cd4adeaed7b57959808388

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In Computational Mechanics

Citations in the corpus

Three-dimensional flows around low-aspect-ratio flat-plate wings at low Reynolds numbers (2009, methodology): “Three-dimensional incompressible flow over a low-aspect-ratio flat-plate wing is simulated with an immersed boundary method (Peskin 2002; Mittal & Iaccarino 2005; Taira & Colonius 2007).”
A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries (2008, methodology): “Within the context of the categorization put forth by Mittal and Iaccarino [34], the current method employs a ''discrete forcing " method wherein the effect of the immersed boundary is incorporated into the discretized governing equations.”
Acoustic and hydrodynamic analysis of the flow around an aerofoil with trailing-edge serrations (2012, methodology): “For a review of immersed boundary methods, see Mittal & Iaccarino (2005).”
Turbulent Wall Model for Immersed Boundary Methods (2011, methodology): “A number of IB applications are available in literature [5], most of them simulating Euler [6–8] and laminar [9–11] flows by using basically the same discrete forcing approach based on linear interpolation stencils.”
A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries (2011, background): “For moving boundary problems, as mentioned in Section 1, the sharp interface scheme can suffer spurious oscillations due to the discontinuous change of forcing points and freshly cleared cell problems [22, 28].”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, methodology): “In general, immersed-boundary methods are categorized as either feedback-forcing or direct-forcing approaches [14].”
Piezoelectric energy harvesting from vortex-induced vibrations of circular cylinder (2013, background): “Different formulations have been proposed and developed including the immersed boundary (IB) [31], arbitrary Lagrangian–Eulerian (ALE) [32], and accelerating reference frame (ARF) [33] methods.”
An improved immersed boundary method with direct forcing for the simulation of particle laden flows (2012, methodology): “before discretization, or by altering the linear system resulting from discretizing in time and space which is termed discrete forcing [20].”
A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows (2012, methodology): “Uhlmann’s IBM is a so-called direct (or discrete) forcing method [4, 19] in which the additional forcing on the fluid in the vicinity of solid boundaries is introduced after discretization of the Navier-Stokes equations.”
Numerical Methods for High-Speed Flows (2011, background): “The ‘immersed boundary’ approach (Mittal & Iaccarino, 2005) promises simple handling of complex geometries in the FD framework, representing a viable alternative to the adoption of body-fitted grids.”
The Non-hydrostatic Icosahedral Atmospheric Model: description and development (2014, methodology): “The immersed boundary method is well known for computational fluid dynamics (Mittal and Iaccarino 2003).”