Journal ArticleDOI
Assessment of regularized delta functions and feedback forcing schemes for an immersed boundary method
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In this paper, an improved immersed boundary method for simulating incompressible viscous flow around an arbitrarily moving body on a fixed computational grid was presented, which combined the feedback foreing scheme of the virtual boundary method with Peskin's regularized delta function approach.Abstract:
We present an improved immersed boundary method for simulating incompressible viscous flow around an arbitrarily moving body on a fixed computational grid. To achieve a large CFL number and to transfer quantities between Eulerian and Lagrangian domains effectively, we combined the feedback foreing scheme of the virtual boundary method with Peskin’s regularized delta function approach. Stability analysis of the proposed method was carried out for various types of regularized delta function. The stability regime of the 4-point regularized delta function was much wider than that of the 2-point delta function. An optimum regime of the feedback forcing is suggested on the basis of the analysis of stability limits and feedback forcing gains. The proposed method was implemented in a finite difference and fractional step context. The proposed method was tested on several flow problems and the findings were in excellent agreement with previous numerical and experimental results.read more
Citations
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Journal ArticleDOI
An immersed boundary method for fluid–flexible structure interaction
Wei-Xi Huang,Hyung Jin Sung +1 more
TL;DR: In this article, an immersed boundary method for simulation of fluid-flexible structure interaction has been proposed, where an efficient Navier-Stokes solver adopting the fractional step method and a staggered Cartesian grid system is used to solve the incompressible fluid motion in an Eulerian domain.
Journal ArticleDOI
Constructive and destructive interaction modes between two tandem flexible flags in viscous flow
TL;DR: In this paper, two tandem flexible flags in viscous flow were modelled by numerical simulation using an improved version of the immersed boundary method, and the flexible flapping flag and the vortices produced by an upstream flag were found to interact via either a constructive or destructive mode.
Journal ArticleDOI
Recent trends and progress in the immersed boundary method
Wei-Xi Huang,Fang-Bao Tian +1 more
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.
Journal ArticleDOI
Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines
TL;DR: This paper uses a divergence-conforming B-spline fluid discretization to address the long-standing issue of poor mass conservation in immersed methods for computational fluid-structure interaction (FSI) that represent the influence of the structure as a forcing term in the fluid subproblem.
Journal ArticleDOI
On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows
Sina Haeri,John S. Shrimpton +1 more
TL;DR: This review paper introduces currently available methods based on the Navier–Stokes equations for simulation of particulate flows which fully resolve the particles and examines different steps of such algorithms and their application to many particle flow problems.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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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An immersed boundary method with direct forcing for the simulation of particulate flows
TL;DR: In this article, an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid is presented. But the main idea is to incorporate Peskin's regularized delta function approach into a direct formulation of the fluid-solid interaction force in order to allow for a smooth transfer between Eulerian and Lagrangian representations.