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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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Vortex-induced vibrations of a cylinder in planar shear flow

TL;DR: In this article, the impact of the shear and associated symmetry breaking on the stability of a flow-structure system is explored over wide ranges of values of shear parameter (non-dimensional inflow velocity gradient, β ∈ [0, 0.4]) and reduced velocity (inverse of the non-dimensional natural frequency of the oscillator,U∗ ∈ 2, 14), at Reynolds number Re = 100; β, U∗ and Re are based on the inflow velocities at the centre of the body and on its diameter.
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A numerical and theoretical study of the aerodynamic performance of a hovering rhinoceros beetle (Trypoxylus dichotomus)

TL;DR: Wang et al. as mentioned in this paper proposed an improved predictive aerodynamic model without any ad-hoc model constants for a rigid and flat hind wing by considering the effect of the wing-wake interaction in hovering flight.
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Singular boundary method using time-dependent fundamental solution for scalar wave equations

TL;DR: In this article, the first attempt to extend the meshless boundary discretization singular boundary method (SBM) with time-dependent fundamental solution to two-dimensional and three-dimensional scalar wave equation upon Dirichlet boundary condition was made.
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Direct-Forcing Immersed Boundary Method for Mixed Heat Transfer

TL;DR: In this paper, a direct-forcing immersed boundary method (DFIB) with both virtual force and heat source is developed to solve Navier-Stokes and the associated energy transport equations to study some thermal flow problems caused by a moving rigid solid object within.
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The combining effect of the roof shape, roof-height non-uniformity and source position on the pollutant transport between a street canyon and 3D urban array

TL;DR: In this article, the authors investigated the impact of roof shape, roof height, and position of the source within a 3D urban array on the advective and turbulent pollutant transport between the studied canyons and urban arrays.
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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