Methods for computation of flow-driven string dynamics in a pump and residence time

Taro Kanai, Kenji Takizawa, Tayfun E. Tezduyar, Kenji Komiya, Masayuki Kaneko, Kyohei Hirota, Motohiko Nohmi, Tomoki Tsuneda, Masahito Kawai, Miho Isono

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We present methods for computation of flow-driven string dynamics in a pump and related residence time. The string dynamics computations help us understand how the strings carried by a fluid interact with the pump surfaces, including the blades, and get stuck on or around those surfaces. The residence time computations help us to have a simplified but quick understanding of the string behavior. The core computational method is the Space-Time Variational Multiscale (ST-VMS) method, and the other key methods are the ST Isogeometric Analysis (ST-IGA), ST Slip Interface (ST-SI) method, ST/NURBS Mesh Update Method (STNMUM), a general-purpose NURBS mesh generation method for complex geometries, and a one-way-dependence model for the string dynamics. The ST-IGA with NURBS basis functions in space is used in both fluid mechanics and string structural dynamics. The ST framework provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the turbulent nature of the unsteady flow, and the moving-mesh feature of the ST framework enables high-resolution computation near the rotor surface. The ST-SI enables moving-mesh computation of the spinning rotor. The mesh covering the rotor spins with it, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. The ST-IGA enables more accurate representation of the pump geometry and increased accuracy in the flow solution. The IGA discretization also enables increased accuracy in the structural dynamics solution, as well as smoothness in the string shape and fluid dynamics forces computed on the string. The STNMUM enables exact representation of the mesh rotation. The general-purpose NURBS mesh generation method makes it easier to deal with the complex geometry we have here. With the one-way-dependence model, we compute the influence of the flow on the string dynamics, while avoiding the formidable task of computing the influence of the string on the flow, which we expect to be small.

Original languageEnglish
JournalMathematical Models and Methods in Applied Sciences
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

Residence Time
Pump
Strings
Pumps
NURBS
Mesh generation
Rotors
Structural dynamics
Mesh
Isogeometric Analysis
Geometry
Rotor
Moving Mesh
Structural Dynamics
Mesh Generation
Fluid mechanics
Complex Geometry
Unsteady flow
Computational methods
Fluid dynamics

Keywords

  • isogeometric analysis (IGA)
  • pump
  • residence time
  • space-time slip interface (ST-SI) method
  • space-time VMS (ST-VMS) method
  • string dynamics
  • Turbomachinery

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Methods for computation of flow-driven string dynamics in a pump and residence time. / Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Komiya, Kenji; Kaneko, Masayuki; Hirota, Kyohei; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho.

In: Mathematical Models and Methods in Applied Sciences, 01.01.2019.

Research output: Contribution to journalArticle

Kanai, Taro ; Takizawa, Kenji ; Tezduyar, Tayfun E. ; Komiya, Kenji ; Kaneko, Masayuki ; Hirota, Kyohei ; Nohmi, Motohiko ; Tsuneda, Tomoki ; Kawai, Masahito ; Isono, Miho. / Methods for computation of flow-driven string dynamics in a pump and residence time. In: Mathematical Models and Methods in Applied Sciences. 2019.
@article{a693f0c4809a4474ad9ad0fec0e654df,
title = "Methods for computation of flow-driven string dynamics in a pump and residence time",
abstract = "We present methods for computation of flow-driven string dynamics in a pump and related residence time. The string dynamics computations help us understand how the strings carried by a fluid interact with the pump surfaces, including the blades, and get stuck on or around those surfaces. The residence time computations help us to have a simplified but quick understanding of the string behavior. The core computational method is the Space-Time Variational Multiscale (ST-VMS) method, and the other key methods are the ST Isogeometric Analysis (ST-IGA), ST Slip Interface (ST-SI) method, ST/NURBS Mesh Update Method (STNMUM), a general-purpose NURBS mesh generation method for complex geometries, and a one-way-dependence model for the string dynamics. The ST-IGA with NURBS basis functions in space is used in both fluid mechanics and string structural dynamics. The ST framework provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the turbulent nature of the unsteady flow, and the moving-mesh feature of the ST framework enables high-resolution computation near the rotor surface. The ST-SI enables moving-mesh computation of the spinning rotor. The mesh covering the rotor spins with it, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. The ST-IGA enables more accurate representation of the pump geometry and increased accuracy in the flow solution. The IGA discretization also enables increased accuracy in the structural dynamics solution, as well as smoothness in the string shape and fluid dynamics forces computed on the string. The STNMUM enables exact representation of the mesh rotation. The general-purpose NURBS mesh generation method makes it easier to deal with the complex geometry we have here. With the one-way-dependence model, we compute the influence of the flow on the string dynamics, while avoiding the formidable task of computing the influence of the string on the flow, which we expect to be small.",
keywords = "isogeometric analysis (IGA), pump, residence time, space-time slip interface (ST-SI) method, space-time VMS (ST-VMS) method, string dynamics, Turbomachinery",
author = "Taro Kanai and Kenji Takizawa and Tezduyar, {Tayfun E.} and Kenji Komiya and Masayuki Kaneko and Kyohei Hirota and Motohiko Nohmi and Tomoki Tsuneda and Masahito Kawai and Miho Isono",
year = "2019",
month = "1",
day = "1",
doi = "10.1142/S021820251941001X",
language = "English",
journal = "Mathematical Models and Methods in Applied Sciences",
issn = "0218-2025",
publisher = "World Scientific Publishing Co. Pte Ltd",

}

TY - JOUR

T1 - Methods for computation of flow-driven string dynamics in a pump and residence time

AU - Kanai, Taro

AU - Takizawa, Kenji

AU - Tezduyar, Tayfun E.

AU - Komiya, Kenji

AU - Kaneko, Masayuki

AU - Hirota, Kyohei

AU - Nohmi, Motohiko

AU - Tsuneda, Tomoki

AU - Kawai, Masahito

AU - Isono, Miho

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We present methods for computation of flow-driven string dynamics in a pump and related residence time. The string dynamics computations help us understand how the strings carried by a fluid interact with the pump surfaces, including the blades, and get stuck on or around those surfaces. The residence time computations help us to have a simplified but quick understanding of the string behavior. The core computational method is the Space-Time Variational Multiscale (ST-VMS) method, and the other key methods are the ST Isogeometric Analysis (ST-IGA), ST Slip Interface (ST-SI) method, ST/NURBS Mesh Update Method (STNMUM), a general-purpose NURBS mesh generation method for complex geometries, and a one-way-dependence model for the string dynamics. The ST-IGA with NURBS basis functions in space is used in both fluid mechanics and string structural dynamics. The ST framework provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the turbulent nature of the unsteady flow, and the moving-mesh feature of the ST framework enables high-resolution computation near the rotor surface. The ST-SI enables moving-mesh computation of the spinning rotor. The mesh covering the rotor spins with it, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. The ST-IGA enables more accurate representation of the pump geometry and increased accuracy in the flow solution. The IGA discretization also enables increased accuracy in the structural dynamics solution, as well as smoothness in the string shape and fluid dynamics forces computed on the string. The STNMUM enables exact representation of the mesh rotation. The general-purpose NURBS mesh generation method makes it easier to deal with the complex geometry we have here. With the one-way-dependence model, we compute the influence of the flow on the string dynamics, while avoiding the formidable task of computing the influence of the string on the flow, which we expect to be small.

AB - We present methods for computation of flow-driven string dynamics in a pump and related residence time. The string dynamics computations help us understand how the strings carried by a fluid interact with the pump surfaces, including the blades, and get stuck on or around those surfaces. The residence time computations help us to have a simplified but quick understanding of the string behavior. The core computational method is the Space-Time Variational Multiscale (ST-VMS) method, and the other key methods are the ST Isogeometric Analysis (ST-IGA), ST Slip Interface (ST-SI) method, ST/NURBS Mesh Update Method (STNMUM), a general-purpose NURBS mesh generation method for complex geometries, and a one-way-dependence model for the string dynamics. The ST-IGA with NURBS basis functions in space is used in both fluid mechanics and string structural dynamics. The ST framework provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the turbulent nature of the unsteady flow, and the moving-mesh feature of the ST framework enables high-resolution computation near the rotor surface. The ST-SI enables moving-mesh computation of the spinning rotor. The mesh covering the rotor spins with it, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. The ST-IGA enables more accurate representation of the pump geometry and increased accuracy in the flow solution. The IGA discretization also enables increased accuracy in the structural dynamics solution, as well as smoothness in the string shape and fluid dynamics forces computed on the string. The STNMUM enables exact representation of the mesh rotation. The general-purpose NURBS mesh generation method makes it easier to deal with the complex geometry we have here. With the one-way-dependence model, we compute the influence of the flow on the string dynamics, while avoiding the formidable task of computing the influence of the string on the flow, which we expect to be small.

KW - isogeometric analysis (IGA)

KW - pump

KW - residence time

KW - space-time slip interface (ST-SI) method

KW - space-time VMS (ST-VMS) method

KW - string dynamics

KW - Turbomachinery

UR - http://www.scopus.com/inward/record.url?scp=85063958128&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063958128&partnerID=8YFLogxK

U2 - 10.1142/S021820251941001X

DO - 10.1142/S021820251941001X

M3 - Article

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

SN - 0218-2025

ER -