Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids

Tai, Chin Hoe; Zhao, Yong; Liew, K.M.

doi:10.1016/j.jcp.2005.01.011

Cited by 32 publications

(20 citation statements)

References 21 publications

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“…The above-mentioned method was extended by Zhao et al for simulation of incompressible flows and convection heat transfer on unstructured two-and three-dimensional grids [11][12][13][14][15]. Flow variables are calculated along characteristics paths in the direction normal to the surface of a control volume and their initial values are interpolated based on the signs of the corresponding characteristic speeds.…”

Section: Introductionmentioning

confidence: 99%

Genuinely multidimensional characteristic‐based scheme for incompressible flows

Razavi

Zamzamian

Farzadi

2007

Numerical Methods in Fluids

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SUMMARYThis paper presents a novel multidimensional characteristic-based (MCB) upwind method for the solution of incompressible Navier-Stokes equations. As opposed to the conventional characteristic-based (CB) schemes, it is genuinely multidimensional in that the local characteristic paths, along which information is propagated, are used. For the first time, the multidimensional characteristic structure of incompressible flows modified by artificial compressibility is extracted and used to construct an inherent multidimensional upwind scheme. The new proposed MCB scheme in conjunction with the finite-volume discretization is employed to model the convective fluxes. Using this formulation, the steady two-dimensional incompressible flow in a lid-driven cavity is solved for a wide range of Reynolds numbers. It was found that the new proposed scheme presents more accurate results than the conventional CB scheme in both their firstand second-order counterparts in the case of cavity flow. Also, results obtained with second-order MCB scheme in some cases are more accurate than the central scheme that in turn provides exact second-order discretization in this grid. With this inherent upwinding technique for evaluating convective fluxes at cell interfaces, no artificial viscosity is required even at high Reynolds numbers. Another remarkable advantage of MCB scheme lies in its faster convergence rate with respect to the CB scheme that is found to exhibit substantial delays in convergence reported in the literature. The results obtained using new proposed scheme are in good agreement with the standard benchmark solutions in the literature.

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Section: Introductionmentioning

confidence: 99%

Genuinely multidimensional characteristic‐based scheme for incompressible flows

Razavi

Zamzamian

Farzadi

2007

Numerical Methods in Fluids

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“…Tai et al [75] employed the immersed object method (IOM) [76] to investigate the opening phase of a 29-mm St. Jude Medical aortic BMHV, under a moderate Reynolds number of 1893. In this approach, it is assumed that the fluid within an object is frozen and moves like a solid body, a condition that is enforced by adding source terms to the momentum equations for the Eulerian nodes lying inside the object.…”

Section: Fixed Grid Methodsmentioning

confidence: 99%

Mechanical Valve Fluid Dynamics and Thrombus Initiation

Claessens

Degroote

Vierendeels

et al. 2010

Image-Based Computational Modeling of the Human Circulatory and Pulmonary Systems

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Heart valve, and subsequently cardiac function, may be seriously compromised as a result of stenosis or regurgitation. If necessary, the native heart valve is surgically replaced with an artificial substitute, which is in about 40% of the cases a bileaflet mechanical heart valve (BMHV). While generally showing excellent hemodynamic performance in the short term, current BMHVs are not free of clinical complications, which are induced by thrombus formation and hemolysis. Computational fluid dynamic (CFD) modeling is now considered a powerful and extremely useful tool to investigate blood flow in existing BMHVs and to reduce the costs associated with the development of new prototypes. A prerequisite for performing realistic heart valve simulations is the implementation of a fluid-structure interaction (FSI) algorithm that accounts for the mechanical interaction between the valve leaflets and the ambient blood. Provided the numerical resolution is sufficiently high, three-dimensional CFD-FSI models are able to compute the complex flow structures that exist in the vicinity of a BMHV. In order to get information about the valve's potential for platelet activation and blood hemolysis, these CFD models must be accompanied by appropriate mathematical models that describe the relation between fluid dynamic variables and the damage to blood corpuscles. This chapter provides an overview on the state of the art in computational flow simulations in BMHV and discusses various approaches taken to integrate blood damage accumulation models into flow simulations.

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“…A locally refined mesh was used near the interface and in the high flowgradient region. Tai et al (2005Tai et al ( , 2007) introduced a densed overlapping mesh around the interface to obtain better estimate of the friction and pressure distributions on the rigid body surface. Three meshes were used: the stationary fluid mesh, the sub-domain with the overlapping mesh which is dense and wrapped around the structure, and the rigid nodes distributed within the rigid structure.…”

Section: Mesh Size and Accuracymentioning

confidence: 99%

Numerical Methods for Fluid-Structure Interaction — A Review

Hou

Wang

Layton

2012

Commun. comput. phys.

524

283

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Abstract. The interactions between incompressible fluid flows and immersed structures are nonlinear multi-physics phenomena that have applications to a wide range of scientific and engineering disciplines. In this article, we review representative numerical methods based on conforming and non-conforming meshes that are currently available for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field. A goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study in fluid-structure interactions.

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Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids

Cited by 32 publications

References 21 publications

Genuinely multidimensional characteristic‐based scheme for incompressible flows

Genuinely multidimensional characteristic‐based scheme for incompressible flows

Mechanical Valve Fluid Dynamics and Thrombus Initiation

Numerical Methods for Fluid-Structure Interaction — A Review

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