Computational analysis of flow-driven string dynamics in a pump and residence time calculation

Komiya, Ken; Kanai, Taro; Otoguro, Yuto; Kaneko, M.; Hirota, K.; Zhang, Y.; Takizawa, Kenji; Tezduyar, Tayfun E.; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho

doi:10.1088/1755-1315/240/6/062014

Cited by 38 publications

(70 citation statements)

References 22 publications

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“…119 for the coupled incompressible-flow and thermal-transport equations retains the high-resolution representation of the thermo-fluid boundary layers near spinning solid surfaces. These ST-SI methods have been applied to aerodynamic analysis of vertical-axis wind turbines, 98,48,49 thermo-fluid analysis of disk brakes, 119 flow-driven string dynamics in turbomachinery, [120][121][122] flow analysis of turbocharger turbines, [123][124][125][126] flow around tires with road contact and deformation, 115,[127][128][129][130] fluid films, 131,130 aerodynamic analysis of ram-air parachutes, 132 and flow analysis of heart valves. 116,117,111,113 In the ST-SI version presented in Ref.…”

Section: St Slip Interface Methodsmentioning

confidence: 99%

“…137,24,115,[119][120][121][122] The STNMUM and the ST-IGA with IGA basis functions in time have been used in many 3D computations. The classes of problems solved are flapping-wing aerodynamics for an actual locust, 99,100,28,101 bioinspired MAVs 102,103,96,97 and wing-clapping, 104,105 separation aerodynamics of spacecraft, 89 aerodynamics of horizontal-axis [95][96][97]45 and vertical-axis 98,48,49 windturbines, thermo-fluid analysis of ground vehicles and their tires, 24,115 thermo-fluid analysis of disk brakes, 119 flow-driven string dynamics in turbomachinery, [120][121][122] and flow analysis of turbocharger turbines. [123][124][125][126] The ST-IGA with IGA basis functions in space enables more accurate representation of the geometry and increased accuracy in the flow solution.…”

Section: St Isogeometric Analysismentioning

confidence: 99%

“…That in turn enables using larger time-step sizes while keeping the Courant number at a desirable level for good accuracy. It has been used in ST computational flow analysis of turbocharger turbines, [123][124][125][126] flow-driven string dynamics in turbomachinery, 121,122 ram-air parachutes, 132 spacecraft parachutes, 134 aortas, [111][112][113] heart valves, 116,117,111,113 tires with road contact and deformation, [128][129][130] and fluid films. 131,130 Using IGA basis functions in space is now a key part of some of the newest arterial zero-stress-state estimation methods [138][139][140][141]113 and related shell analysis.…”

Section: St Isogeometric Analysismentioning

confidence: 99%

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A node-numbering-invariant directional length scale for simplex elements

Takizawa

Ueda

Tezduyar

2019

Math. Models Methods Appl. Sci.

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Variational multiscale methods, and their precursors, stabilized methods, have been very popular in flow computations in the past several decades. Stabilization parameters embedded in most of these methods play a significant role. The parameters almost always involve element length scales, most of the time in specific directions, such as the direction of the flow or solution gradient. We require the length scales, including the directional length scales, to have node-numbering invariance for all element types, including simplex elements. We propose a length scale expression meeting that requirement. We analytically evaluate the expression in the context of simplex elements and compared to one of the most widely used length scale expressions and show the levels of noninvariance avoided.

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Section: St Slip Interface Methodsmentioning

confidence: 99%

Section: St Isogeometric Analysismentioning

confidence: 99%

Section: St Isogeometric Analysismentioning

confidence: 99%

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A node-numbering-invariant directional length scale for simplex elements

Takizawa

Ueda

Tezduyar

2019

Math. Models Methods Appl. Sci.

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“…6,10,104,[108][109][110]120 The STNMUM and the ST-IGA with IGA basis functions in time have been used in many 3D computations. The classes of problems solved are flapping-wing aerodynamics for an actual locust, 7,22,90,91 bioinspired MAVs 88,89,92,93 and wing-clapping, 94,95 separation aerodynamics of spacecraft, 81 aerodynamics of horizontal-axis 38,[87][88][89] and vertical-axis 9,41,42 wind-turbines, thermo-fluid analysis of ground vehicles and their tires, 6,104 thermo-fluid analysis of disk brakes, 10 flow-driven string dynamics in turbomachinery, [108][109][110] and flow analysis of turbocharger turbines. 8,[111][112][113] The ST-IGA with IGA basis functions in space enables more accurate representation of the geometry and increased accuracy in the flow solution.…”

Section: St-igamentioning

confidence: 99%

Space–time Isogeometric flow analysis with built-in Reynolds-equation limit

Kuraishi

Takizawa

Tezduyar

2019

Math. Models Methods Appl. Sci.

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We present a space–time (ST) computational flow analysis method with built-in Reynolds-equation limit. The method enables solution of lubrication fluid dynamics problems with a computational cost comparable to that of the Reynolds-equation model for the comparable solution quality, but with the computational flexibility to go beyond the limitations of the Reynolds-equation model. The key components of the method are the ST Variational Multiscale (ST-VMS) method, ST Isogeometric Analysis (ST-IGA), and the ST Slip Interface (ST-SI) method. The VMS feature of the ST-VMS serves as a numerical stabilization method with a good track record, the moving-mesh feature of the ST framework enables high-resolution flow computation near the moving fluid–solid interfaces, and the higher-order accuracy of the ST framework strengthens both features. The ST-IGA enables more accurate representation of the solid-surface geometries and increased accuracy in the flow solution in general. With the ST-IGA, even with just one quadratic NURBS element across the gap of the lubrication fluid dynamics problem, we reach a solution quality comparable to that of the Reynolds-equation model. The ST-SI enables moving-mesh computation when the spinning solid surface is noncircular. The mesh covering the solid surface spins with it, retaining the high-resolution representation of the flow near the surface, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. We present detailed 2D test computations to show how the method performs compared to the Reynolds-equation model, compared to finite element discretization, at different circumferential and normal mesh refinement levels, when there is an SI in the mesh, and when the no-slip boundary conditions are weakly-enforced.

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“…In [7], the same assumption is used to study the particle-shock interaction. In [8][9][10], the assumption is used in flow-driven string dynamics in turbomachinery, where the strings are assumed to have no influence on the flow.…”

Section: Introductionmentioning

confidence: 99%

Computational analysis of particle-laden-airflow erosion and experimental verification

et al. 2020

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Computational analysis of particle-laden-airflow erosion can help engineers have a better understanding of the erosion process, maintenance and protection of turbomachinery components. We present an integrated method for this class of computational analysis. The main components of the method are the residual-based Variational Multiscale (VMS) method, a finite element particle-cloud tracking (PCT) method with ellipsoidal clouds, an erosion model based on two time scales, and the Solid-Extension Mesh Moving Technique (SEMMT). The turbulent-flow nature of the analysis is addressed with the VMS, the particle-cloud trajectories are calculated based on the time-averaged computed flow field and closure models defined for the turbulent dispersion of particles, and one-way dependence is assumed between the flow and particle dynamics. Because the target-geometry update due to the erosion has a very long time scale compared to the fluid-particle dynamics, the update takes place in a sequence of "evolution steps" representing the impact of the erosion. A scale-up factor, calculated based on the update threshold criterion, relates the erosions and particle counts in the evolution steps to those in the PCT computation. As the target geometry evolves, the mesh is updated with the SEMMT. We present a computation designed to match the sand-erosion experiment we conducted with an aluminum-alloy target. We show that, despite the problem complexities and model assumptions involved, we have a reasonably good agreement between the computed and experimental data.Tayfun E. Tezduyar tezduyar@tafsm.org cost. Reliable computational analysis can help the designers find new blade protection strategies. It can also help them to plan effective maintenance schedules. Earlier, closely-related studies [1,2] focused on the prediction of rain erosion patterns for a full-span wind-turbine blade. In [3,4], the focus was on the effect of the erosion on the aerodynamic performance of the blade, highlighting the correlation between the erosion patterns and geometry evolution.

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Computational analysis of flow-driven string dynamics in a pump and residence time calculation

Cited by 38 publications

References 22 publications

A node-numbering-invariant directional length scale for simplex elements

A node-numbering-invariant directional length scale for simplex elements

Space–time Isogeometric flow analysis with built-in Reynolds-equation limit

Computational analysis of particle-laden-airflow erosion and experimental verification

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