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An immersed-boundary finite-volume method for simulations of flow in complex geometries

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TLDR
In this paper, a new immersed-boundary method for simulating flows over or inside complex geometries is developed by introducing a mass source/sink as well as a momentum forcing.
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This article is published in Journal of Computational Physics.The article was published on 2001-07-01. It has received 1090 citations till now. The article focuses on the topics: Immersed boundary method & Mixed boundary condition.

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Citations
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A review of state-of-the-art numerical methods for simulating flow through mechanical heart valves

TL;DR: Numerical simulations have provided the first glimpse into the complex hemodynamic environment experienced by blood cells downstream of the valve leaflets and successfully resolved for the first time the experimentally observed explosive transition to a turbulent-like state at the start of the decelerating flow phase.
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Adaptive embedded and immersed unstructured grid techniques

TL;DR: The present paper reviews the methodologies pursued so far, addresses implementational issues and shows the possibilities such techniques offer.
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Flow-induced vibrations of a rotating cylinder

TL;DR: In this article, the impact of the symmetry breaking caused by the forced rotation on the vortex-induced vibration (VIV) mechanisms is investigated for a Reynolds number equal to 100, based on the cylinder diameter and inflow velocity.
Journal ArticleDOI

Recent trends and progress in the immersed boundary method

TL;DR: The immersed boundary method is a methodology for dealing with boundary conditions at fluid-fluid and fluid-solid interfaces as discussed by the authors, which has been attracting growing attention in the field of fluid dynamics.
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A Numerical Study of Natural Convection in a Square Enclosure with a Circular Cylinder at Different Vertical Locations

TL;DR: In this article, a two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model an inner circular cylinder based on finite volume method, for different Rayleigh numbers varying over the range of.
References
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Journal ArticleDOI

On the identification of a vortex

TL;DR: In this article, the authors propose a definition of vortex in an incompressible flow in terms of the eigenvalues of the symmetric tensor, which captures the pressure minimum in a plane perpendicular to the vortex axis at high Reynolds numbers, and also accurately defines vortex cores at low Reynolds numbers.
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Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations

TL;DR: In this paper, a numerical method for computing three-dimensional, time-dependent incompressible flows is presented based on a fractional-step, or time-splitting, scheme in conjunction with the approximate-factorization technique.
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Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations

TL;DR: In this paper, a second-order accurate, highly efficient method is developed for simulating unsteady three-dimensional incompressible flows in complex geometries, which is achieved by using boundary body forces that allow the imposition of the boundary conditions on a given surface not coinciding with the computational grid.
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Modeling a no-slip flow boundary with an external force field

TL;DR: In this paper, the Navier-Stokes equations permit the presence of an externally imposed body force that may vary in space and time, and the velocity is used to iteratively determine the desired value.
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Oblique and Parallel Modes of Vortex Shedding in the Wake of a Circular Cylinder at Low Reynolds Numbers

TL;DR: In this article, it was shown that the Strouhal discontinuity is not due to any of the previously proposed mechanisms, but instead is caused by a transition from one oblique shedding mode to another oblique mode.
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