Turbocharger flow computations with the Space-Time Isogeometric Analysis (ST-IGA)

Kenji Takizawa, Tayfun E. Tezduyar, Yuto Otoguro, Takuya Terahara, Takashi Kuraishi, Hitoshi Hattori

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We focus on turbocharger computational flow analysis with a method that possesses higher accuracy in spatial and temporal representations. In the method we have developed for this purpose, we use a combination of (i) the Space-Time Variational Multiscale (ST-VMS) method, which is a stabilized formulation that also serves as a turbulence model, (ii) the ST Slip Interface (ST-SI) method, which maintains high-resolution representation of the boundary layers near spinning solid surfaces by allowing in a consistent fashion slip at the interface between the mesh covering a spinning surface and the mesh covering the rest of the domain, and (iii) the Isogeometric Analysis (IGA), where we use NURBS basis functions in space and time. The basis functions are spatially higher-order in all representations, and temporally higher-order in representation of the solid-surface and mesh motions. The ST nature of the method gives us higher-order accuracy in the flow solver, and when combined with temporally higher-order basis functions, a more accurate representation of the surface motion, and a mesh motion consistent with that. The spatially higher-order basis functions give us again higher-order accuracy in the flow solver, a more accurate, in some parts exact, representation of the surface geometry, and better representation in evaluating the second-order spatial derivatives. Using NURBS basis functions with a complex geometry is not trivial, however, once we generate the mesh, the computational efficiency is substantially increased. We focus on the turbine part of a turbocharger, but our method can also be applied to the compressor part and thus can be extended to the full turbocharger.

Original languageEnglish
JournalComputers and Fluids
DOIs
Publication statusAccepted/In press - 2015 Dec 12

Fingerprint

Geometry
Computational efficiency
Turbulence models
Compressors
Boundary layers
Turbines
Derivatives

Keywords

  • Higher-order functions
  • IGA
  • Isogeometric Analysis
  • Space-Time Variational Multiscale method
  • ST Slip Interface method
  • ST-SI
  • ST-VMS
  • Turbine
  • Turbocharger

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

@article{de37db1fbf9749cfa08b5d1709892ca0,
title = "Turbocharger flow computations with the Space-Time Isogeometric Analysis (ST-IGA)",
abstract = "We focus on turbocharger computational flow analysis with a method that possesses higher accuracy in spatial and temporal representations. In the method we have developed for this purpose, we use a combination of (i) the Space-Time Variational Multiscale (ST-VMS) method, which is a stabilized formulation that also serves as a turbulence model, (ii) the ST Slip Interface (ST-SI) method, which maintains high-resolution representation of the boundary layers near spinning solid surfaces by allowing in a consistent fashion slip at the interface between the mesh covering a spinning surface and the mesh covering the rest of the domain, and (iii) the Isogeometric Analysis (IGA), where we use NURBS basis functions in space and time. The basis functions are spatially higher-order in all representations, and temporally higher-order in representation of the solid-surface and mesh motions. The ST nature of the method gives us higher-order accuracy in the flow solver, and when combined with temporally higher-order basis functions, a more accurate representation of the surface motion, and a mesh motion consistent with that. The spatially higher-order basis functions give us again higher-order accuracy in the flow solver, a more accurate, in some parts exact, representation of the surface geometry, and better representation in evaluating the second-order spatial derivatives. Using NURBS basis functions with a complex geometry is not trivial, however, once we generate the mesh, the computational efficiency is substantially increased. We focus on the turbine part of a turbocharger, but our method can also be applied to the compressor part and thus can be extended to the full turbocharger.",
keywords = "Higher-order functions, IGA, Isogeometric Analysis, Space-Time Variational Multiscale method, ST Slip Interface method, ST-SI, ST-VMS, Turbine, Turbocharger",
author = "Kenji Takizawa and Tezduyar, {Tayfun E.} and Yuto Otoguro and Takuya Terahara and Takashi Kuraishi and Hitoshi Hattori",
year = "2015",
month = "12",
day = "12",
doi = "10.1016/j.compfluid.2016.02.021",
language = "English",
journal = "Computers and Fluids",
issn = "0045-7930",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Turbocharger flow computations with the Space-Time Isogeometric Analysis (ST-IGA)

AU - Takizawa, Kenji

AU - Tezduyar, Tayfun E.

AU - Otoguro, Yuto

AU - Terahara, Takuya

AU - Kuraishi, Takashi

AU - Hattori, Hitoshi

PY - 2015/12/12

Y1 - 2015/12/12

N2 - We focus on turbocharger computational flow analysis with a method that possesses higher accuracy in spatial and temporal representations. In the method we have developed for this purpose, we use a combination of (i) the Space-Time Variational Multiscale (ST-VMS) method, which is a stabilized formulation that also serves as a turbulence model, (ii) the ST Slip Interface (ST-SI) method, which maintains high-resolution representation of the boundary layers near spinning solid surfaces by allowing in a consistent fashion slip at the interface between the mesh covering a spinning surface and the mesh covering the rest of the domain, and (iii) the Isogeometric Analysis (IGA), where we use NURBS basis functions in space and time. The basis functions are spatially higher-order in all representations, and temporally higher-order in representation of the solid-surface and mesh motions. The ST nature of the method gives us higher-order accuracy in the flow solver, and when combined with temporally higher-order basis functions, a more accurate representation of the surface motion, and a mesh motion consistent with that. The spatially higher-order basis functions give us again higher-order accuracy in the flow solver, a more accurate, in some parts exact, representation of the surface geometry, and better representation in evaluating the second-order spatial derivatives. Using NURBS basis functions with a complex geometry is not trivial, however, once we generate the mesh, the computational efficiency is substantially increased. We focus on the turbine part of a turbocharger, but our method can also be applied to the compressor part and thus can be extended to the full turbocharger.

AB - We focus on turbocharger computational flow analysis with a method that possesses higher accuracy in spatial and temporal representations. In the method we have developed for this purpose, we use a combination of (i) the Space-Time Variational Multiscale (ST-VMS) method, which is a stabilized formulation that also serves as a turbulence model, (ii) the ST Slip Interface (ST-SI) method, which maintains high-resolution representation of the boundary layers near spinning solid surfaces by allowing in a consistent fashion slip at the interface between the mesh covering a spinning surface and the mesh covering the rest of the domain, and (iii) the Isogeometric Analysis (IGA), where we use NURBS basis functions in space and time. The basis functions are spatially higher-order in all representations, and temporally higher-order in representation of the solid-surface and mesh motions. The ST nature of the method gives us higher-order accuracy in the flow solver, and when combined with temporally higher-order basis functions, a more accurate representation of the surface motion, and a mesh motion consistent with that. The spatially higher-order basis functions give us again higher-order accuracy in the flow solver, a more accurate, in some parts exact, representation of the surface geometry, and better representation in evaluating the second-order spatial derivatives. Using NURBS basis functions with a complex geometry is not trivial, however, once we generate the mesh, the computational efficiency is substantially increased. We focus on the turbine part of a turbocharger, but our method can also be applied to the compressor part and thus can be extended to the full turbocharger.

KW - Higher-order functions

KW - IGA

KW - Isogeometric Analysis

KW - Space-Time Variational Multiscale method

KW - ST Slip Interface method

KW - ST-SI

KW - ST-VMS

KW - Turbine

KW - Turbocharger

UR - http://www.scopus.com/inward/record.url?scp=84962361531&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84962361531&partnerID=8YFLogxK

U2 - 10.1016/j.compfluid.2016.02.021

DO - 10.1016/j.compfluid.2016.02.021

M3 - Article

JO - Computers and Fluids

JF - Computers and Fluids

SN - 0045-7930

ER -