A nested iterative scheme for computation of incompressible flows in long domains

Manguoğlu, Murat; Sameh, Ahmed; Tezduyar, Tayfun E.; Sathe, Sunil

doi:10.1007/s00466-008-0276-0

Cited by 53 publications

(20 citation statements)

References 24 publications

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“…A recent demonstration of this potential can be found in [53,57,58,64]. Segregated equation solver techniques recently developed by the T AFSM for FSI computations were described in Section 6 of [52].…”

Section: Segregated Equation Solversmentioning

confidence: 98%

“…Model-2 required 500 GMRES iterations for good mass balance, at least partly because there are significantly more elements along the flow direction. As pointed out in [31], this is a significant increase in computational cost, so we are exploring better preconditioners, such as the one in [53]. For all six nonlinear iterations, for Model-1 and Model-3 the fluid scale is 1.0 and the structure scale is 50.…”

Section: Computations With New Surface Extraction Mesh Generation Anmentioning

confidence: 99%

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Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms

Tezduyar

Takizawa

Brummer

et al. 2011

Numer Methods Biomed Eng

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SUMMARYWe provide an extensive overview of the core and special techniques developed earlier by the Team for Advanced Flow Simulation and Modeling (T AFSM) for space-time fluid-structure interaction (FSI) modeling of patient-specific cerebral aneurysms. The core FSI techniques are the Deforming-SpatialDomain/Stabilized Space-Time (DSD/SST) formulation and the stabilized space-time FSI (SSTFSI) technique. The special techniques include techniques for calculating an estimated zero-pressure (EZP) arterial geometry, a special mapping technique for specifying the velocity profile at an inflow boundary with non-circular shape, techniques for using variable arterial wall thickness, mesh generation techniques for building layers of refined fluid mechanics mesh near the arterial walls, a recipe for pre-FSI computations that improve the convergence of the FSI computations, the Sequentially-Coupled Arterial FSI (SCAFSI) technique and its multiscale versions, techniques for the projection of fluid-structure interface stresses, calculation of the wall shear stress (WSS) and calculation of the oscillatory shear index (OSI) and arterial-surface extraction and boundary condition techniques. We show how these techniques work with results from earlier computations. We also describe the arterial FSI techniques developed and implemented recently by the T AFSM and present a sample from a wide set of patient-specific cerebral-aneurysm models we computed recently.

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Section: Segregated Equation Solversmentioning

confidence: 98%

Section: Computations With New Surface Extraction Mesh Generation Anmentioning

confidence: 99%

Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms

Tezduyar

Takizawa

Brummer

et al. 2011

Numer Methods Biomed Eng

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“…Transonic flow past a sphere was also reported in 2006 [52]. The FSI computations reported in 2007 [5,[53][54][55][56][57] and 2008 [58][59][60][61][62][63] were for flow past a flag, patient-specific models of a middle cerebral artery with aneurysm and a birfucating middle cerebral artery with aneurysm, carotid artery birfucation, abdominal aortic aneurysms, parachutes with complex designs, a cloth piece falling over a rigid rod, flow in a tube constrained with a diaphragm, inflation of a balloon, flow through and around a windsock, descent of a T-10 parachute with fabric porosity, sails, Orion spacecraft parachutes, flow around two flexible spheres colliding, and a flexible sphere sliding past a constriction in a channel.…”

Section: Years 2001-2010mentioning

confidence: 88%

Space–time computations in practical engineering applications: a summary of the 25-year history

Tezduyar

Takizawa

2018

Comput Mech

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In an article published online in July 2018 it was stated that the algorithm proposed in the article is "enabling practical implementation of the space-time FEM for engineering applications." In fact, space-time computations in practical engineering applications were already enabled in 1993. We summarize the computations that have taken place since then. These computations started with finite element discretization and are now also with isogeometric discretization. They were all in 3D space and were all carried out on parallel computers. For quarter of a century, these computations brought solution to many classes of complex problems ranging from Orion spacecraft parachutes to wind turbines, from patient-specific cerebral aneurysms to heart valves, from thermo-fluid analysis of ground vehicles and tires to turbocharger turbines and exhaust manifolds.

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“…Model-2 requires 500 GMRES iterations for good mass balance, at least partly because there are significantly more elements along the flow direction. This represents a considerable increase in computational cost, hence we are exploring the possibility of using a better preconditioner, such as the one reported in [38]. Figure 5 shows the streamlines for each model when the volumetric flow rate is maximum.…”

Section: Remarkmentioning

confidence: 99%

Patient‐specific arterial fluid–structure interaction modeling of cerebral aneurysms

Takizawa¹,

Moorman²,

Wright³

et al. 2010

Numerical Methods in Fluids

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SUMMARYWe address the computational challenges related to the extraction of the arterial-lumen geometry, mesh generation and starting-point determination in the computation of arterial fluid-structure interactions (FSI) with patient-specific data. The methods we propose here to address those challenges include techniques for constructing suitable cutting planes at the artery inlets and outlets and specifying on those planes proper boundary conditions for the fluid mechanics, structural mechanics and fluid mesh motion and a technique for the improved calculation of an estimated zero-pressure arterial geometry. We use the stabilized space-time FSI technique, together with a number of special techniques recently developed for arterial FSI. We focus on three patient-specific cerebral artery segments with aneurysm, where the lumen geometries are extracted from 3D rotational angiography.

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A nested iterative scheme for computation of incompressible flows in long domains

Cited by 53 publications

References 24 publications

Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms

Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms

Space–time computations in practical engineering applications: a summary of the 25-year history

Patient‐specific arterial fluid–structure interaction modeling of cerebral aneurysms

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