Journal ArticleDOI
Sources of spurious force oscillations from an immersed boundary method for moving-body problems
TLDR
It is found that the spurious force oscillations decrease with decreasing theGrid spacing and increasing the computational time step size, but they depend more on the grid spacing than on the computationalTime step size.About:
This article is published in Journal of Computational Physics.The article was published on 2011-04-01. It has received 158 citations till now. The article focuses on the topics: Immersed boundary method & Discontinuity (linguistics).read more
Citations
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A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry
Yu-Heng Tseng,Joel H. Ferziger +1 more
TL;DR: An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented in this paper, where a boundary condition is enforced through a ghost cell method.
Journal ArticleDOI
A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations
Jung Hee Seo,Rajat Mittal +1 more
TL;DR: The proposed cut-cell based approach to reducing spurious pressure oscillations observed when simulating moving boundary flow problems with sharp-interface immersed boundary methods is shown to retain all the desirable properties of the original finite-difference based IBM while at the same time, reducing pressure oscillation for moving boundaries by roughly an order of magnitude.
Journal ArticleDOI
Immersed boundary methods for simulating fluid-structure interaction
Fotis Sotiropoulos,Xiaolei Yang +1 more
TL;DR: Different IB approaches for imposing boundary conditions, efficient iterative algorithms for solving the incompressible Navier–Stokes equations in the presence of dynamic immersed boundaries, and strong and loose coupling FSI strategies are summarized and juxtapose.
Journal ArticleDOI
An accurate moving boundary formulation in cut-cell methods
TL;DR: An accurate moving boundary formulation based on the varying discretization operators yielding a cut-cell method which avoids discontinuities in the hydrodynamic forces exerted on the moving boundary is developed.
Journal ArticleDOI
A moving-least-squares immersed boundary method for simulating the fluid-structure interaction of elastic bodies with arbitrary thickness
TL;DR: A versatile numerical method to predict the fluid-structure interaction of bodies with arbitrary thickness immersed in an incompressible fluid is presented, able to provide results comparable with those of sharp direct-forcing approaches, and can manage high pressure differences across the surface, still obtaining very smooth hydrodynamic forces.
References
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Journal ArticleDOI
The immersed boundary method
TL;DR: This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
Journal ArticleDOI
Immersed boundary methods
Rajat Mittal,Gianluca Iaccarino +1 more
TL;DR: The term immersed boundary (IB) method is used to encompass all such methods that simulate viscous flows with immersed (or embedded) boundaries on grids that do not conform to the shape of these boundaries.
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Numerical analysis of blood flow in the heart
TL;DR: In this article, the authors extended previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid and introduced an improved numerical representation of the δ-function.
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Flow patterns around heart valves: A numerical method
TL;DR: In this paper, the Navier-Stokes equations on a rectangular domain are applied to the simulation of flow around the natural mitral valve of a human heart valve, where the boundary forces are of order h − 1, and because they are sensitive to small changes in boundary configuration, they tend to produce numerical instability.
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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.