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4D Zonal Classification of Time-Periodic Flows: Formulation and Computational Methods

Research Project

Project/Area Number 16K13779
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionWaseda University

Principal Investigator

Kenji Takizawa  早稲田大学, 理工学術院, 准教授 (60415809)

Co-Investigator(Kenkyū-buntansha) 野津 裕史  金沢大学, 数物科学系, 准教授 (00588783)
Project Period (FY) 2016-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords流体 / 滞留時間 / 離散化 / space-time法 / 特性線法 / Space-time法 / 数値解析 / 数学解析
Outline of Final Research Achievements

To understand time-periodic flow behavior, we focus on particle residence time. Residence time can be computed with the Eulerian form of the equations, and thus can be defined over the entire domain as a time-dependent variable.
We use aorta flow as example of pulsating inflow, and turbomachinery as a moving-boundary problem. To obtain periodic behavior of the residence time, we keep computing the time-periodic flow. The residence time at the outlet can be estimated with a simple theory and we compare that to the computed value. Residence time lower than the theoretical value implies presence of regions where the flow is not connected to the rest of the domain. Such regions can be detected with the residence time by comparing it to the computation duration. To increase the calculation accuracy, we introduced a characteristic-based method, refinement techniques, and new ways of calculating the stabilization parameters.

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • Research Products

    (46 results)

All 2018 2017 2016 Other

All Int'l Joint Research (4 results) Journal Article (9 results) (of which Int'l Joint Research: 9 results,  Peer Reviewed: 9 results,  Acknowledgement Compliant: 7 results,  Open Access: 5 results) Presentation (33 results) (of which Int'l Joint Research: 15 results,  Invited: 14 results)

  • [Int'l Joint Research] ライス大学(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] マインツ大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Rice University(米国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] University of Rome (Sapienza)(Italy)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. Part II: A linear scheme2017

    • Author(s)
      M. Lukacova, H. Mizerova, H. Notsu, and M. Tabata
    • Journal Title

      ESAIM: Mathematical Modelling and Numerical Analysis

      Volume: 51 Issue: 5 Pages: 1663-1689

    • DOI

      10.1051/m2an/2017032

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method; Part I: A nonlinear scheme2017

    • Author(s)
      M. Lukacova-Medvid'ova, H. Mizerova, H. Notsu, and M. Tabata
    • Journal Title

      ESAIM: Mathematical Modelling and Numerical Analysis

      Volume: 印刷中 Issue: 5 Pages: 1637-1661

    • DOI

      10.1051/m2an/2016078

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Stabilization and discontinuity-capturing parameters for space--time flow computations with finite element and isogeometric discretizations2017

    • Author(s)
      K. Takizawa, T.E. Tezduyar, and Y. Otoguro
    • Journal Title

      Computational Mechanics, published online

      Volume: N/A Issue: 5 Pages: 1169-1186

    • DOI

      10.1007/s00466-018-1557-x

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Space-time VMS computational flow analysis with isogeometric discretization and a general-purpose NURBS mesh generation metho2017

    • Author(s)
      Y. Otoguro, K. Takizawa, and T.E. Tezduyar
    • Journal Title

      Computers & Fluids

      Volume: 印刷中 Pages: 189-200

    • DOI

      10.1016/j.compfluid.2017.04.017

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Porosity models and computational methods for compressible-flow aerodynamics of parachutes with geometric porosity2016

    • Author(s)
      K. Takizawa, T.E. Tezduyar, and T. Kanai
    • Journal Title

      textitMathematical Models and Methods in Applied Sciences, to appear

      Volume: - Issue: 04 Pages: 771-806

    • DOI

      10.1142/s0218202517500166

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Heart valve flow computation with the integrated Space--Time VMS, Slip Interface, Topology Change and Isogeometric Discretization methods2016

    • Author(s)
      K. Takizawa, T.E. Tezduyar, T. Terahara, and T. Sasaki
    • Journal Title

      textitComputers & Fluids, published online

      Volume: - Pages: 176-188

    • DOI

      10.1016/j.compfluid.2016.11.012

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Computational analysis of wind-turbine blade rain erosion2016

    • Author(s)
      A. Castorrini, A. Corsini, F. Rispoli, P. Venturini, K. Takizawa, and T.E. Tezduyar
    • Journal Title

      Computers & Fluids

      Volume: - Pages: 191-200

    • DOI

      10.1016/j.compfluid.2016.08.013

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Ram-Air Parachute Structural and Fluid Mechanics Computations with the Space--Time Isogeometric Analysis (ST-IGA)2016

    • Author(s)
      K. Takizawa, T.E. Tezduyar, and T. Terahara
    • Journal Title

      Computers & Fluids

      Volume: - Pages: 191-200

    • DOI

      10.1016/j.compfluid.2016.05.027

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Space-Time Method for Flow Computations with Slip Interfaces and Topology Changes (ST-SI-TC)2016

    • Author(s)
      K. Takizawa, T.E. Tezduyar, S. Asada, and T. Kuraishi
    • Journal Title

      Computers & Fluids

      Volume: - Pages: 124-134

    • DOI

      10.1016/j.compfluid.2016.05.006

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Numerical analysis of the Oseen-type Peterlin viscoelastic model2018

    • Author(s)
      H. Nots
    • Organizer
      2018 A3 Fluid Mechanics Workshop
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis and computation of viscoelastic models2018

    • Author(s)
      H. Notsu
    • Organizer
      Numerical Analysis: Applications to Biomedical Problems and Foundations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis of viscoelastic models2018

    • Author(s)
      H. Notsu
    • Organizer
      Dynamics of Viscoelastic and Inertioelastic flows
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A structure-preserving finite element scheme for the Maxwell model2017

    • Author(s)
      H. Notsu
    • Organizer
      A3 Soft Matter Workshop
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis of the Oseen-type Peterlin viscoelastic model2017

    • Author(s)
      H. Notsu
    • Organizer
      The 42nd Sapporo Symposium on Partial Differential Equation
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Tire Aerodynamic Analysis and Verification with the Space-Time Slip Interface Topology Change Method and Isogeometric Discretization2017

    • Author(s)
      T. Kuraishi, K. Takizawa, Tayfun E. Tezduyar
    • Organizer
      19TH INTERNATIONAL CONFERENCE ON FINITE ELEMENTS IN FLOW PROBLEMS
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Heart Valve Flow Analysis with the Integrated Space-Time VMS, Slip Interface, and Topology Change Methods and Isogeometric Discretization2017

    • Author(s)
      T. Terahara, K. Takizawa, T.E. Tezduyar, T. Sasaki
    • Organizer
      The 2017 Engineering Mechanics Institute Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] High Spatial and Temporal Resolution Computational Analysis of Flow Between an Engine Cylinder and Moving Piston2017

    • Author(s)
      Masaya Omori, Takashi Kuraishi, Kenji Takizawa, Tayfun E. Tezduyar
    • Organizer
      The 11th Pacific Symposium on Flow Visualization and Image Processing
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Disk-Gap-Band Parachute Supersonic Flow Analysis with High-Fidelity Geometry and Boundary-Layer Representation2017

    • Author(s)
      T. Kanai, K. Takizawa, Tayfun E. Tezduyar
    • Organizer
      19TH INTERNATIONAL CONFERENCE ON FINITE ELEMENTS IN FLOW PROBLEMS
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Patient-Specific Aorta Flow Analysis with the Space-Time VMS Method and Isogeometric Discretization2017

    • Author(s)
      H. Uchikawa, K. Takizawa, T.E. Tezduyar
    • Organizer
      The 2017 Engineering Mechanics Institute Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Interpretation of Temporally-Periodic Internal Flows Based on the TimeDependent Residence Time2017

    • Author(s)
      小宮 賢士, 乙黒 雄斗, 内河 寛明, 滝沢 研二, テズドゥヤー タイフン
    • Organizer
      第31回数値流体力学シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Heart Valve Flow Analysis with Isogeometric Discretization and Resolved Jet Flow Near Leaflet Surfaces2017

    • Author(s)
      寺原 拓哉, 佐々木 崇史, 滝沢 研二, テズドゥヤー タイフン
    • Organizer
      日本機械学会 2017年度年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] アイソジオメトリック解析による大動脈血流の周期性評価2017

    • Author(s)
      内河 寛明, 小宮 賢士, 寺原 拓哉, 塩崎 健介, 吉田 彩花, 佐々木 崇史, 乙黒 雄斗, 滝沢 研二, Tayfun E. Tezduyar
    • Organizer
      CREST・さきがけ数学関係領域合同シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Aortic Valve Analysis Based on High-Fidelity Computational Fluid Dynamics2017

    • Author(s)
      寺原 拓哉, 佐々木 崇史, 塩崎 健介, 滝沢 研二, テズドゥヤー タイフン
    • Organizer
      第28回 バイオフロンティア講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Turbocharger-turbine flow-mixing effects in exhaust system design2017

    • Author(s)
      長岡 謙一郎, 乙黒 雄斗, 滝沢 研二, Tezduyar E. Tayfun
    • Organizer
      第31回数値流体力学シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Estimation of Leakage Flow Between an Engine Cylinder and Moving Piston with the Space-Time Isogeometric Analysis2017

    • Author(s)
      大森 正也, 倉石 孝, 滝沢研二, Tezduyar E. Tayfun
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Aerodynamic effect of corrugated wing structure in wing flapping2017

    • Author(s)
      實川 智裕, 乙黒 雄斗, 滝沢 研二, Tayfun E. Tezduyar
    • Organizer
      第31回数値流体力学シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Space-Time Isogeometric Analysis of Aortic-Valve Fluid Mechanics and Flow Validation Nearthe Leaflet Surfaces2017

    • Author(s)
      塩崎 健介, 寺原 拓哉, 佐々木 崇史, 滝沢 研二, Tayfun E. Tezduyar
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Fluid and Structure Analysis of the Human Aorta -Fluid Mechanics Analysis with Space-Time Isogeometric Discretization-2017

    • Author(s)
      内河 寛明, 寺原 拓哉, 佐々木 崇史, 滝沢 研二, Tayfun E. Tezduyar
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Patient-Specific Aorta Flow Analysis with the Space-Time VMS Method and Isogeometric Discretization2017

    • Author(s)
      内河 寛明, 寺原 拓哉, 佐々木 崇史, 滝沢 研二, Tezduyar Tayfun
    • Organizer
      日本機械学会 2017年度年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Aortic Valve and ST Blood Flow Analysis2017

    • Author(s)
      塩崎 健介, 寺原 拓哉, 佐々木 崇史, 滝沢 研二, Tezduyar Tayfun
    • Organizer
      日本機械学会 第30回計算力学講演会(CMD2017)
    • Related Report
      2017 Annual Research Report
  • [Presentation] Effect of Aortic Valve Shape on Flow2017

    • Author(s)
      塩崎 健介, 寺原 拓哉, 佐々木 崇史, 滝沢 研二, Tezduyar Tayfun
    • Organizer
      第28回 バイオフロンティア講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Heart valve analysis and near-valve detailed flow analysis2017

    • Author(s)
      寺原 拓哉, 塩崎 健介, 佐々木 崇史, 内河 寛明, 滝沢 研二, Tezduyar Tayfun
    • Organizer
      第31回数値流体力学シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Arterial element-based zero-stress state estimation with T-spline representation2017

    • Author(s)
      T. Sasaki, K. Takizawa, T.E. Tezduyar
    • Organizer
      International Conference on Isogeometric Analysis
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ST Computational Analysis with Isogeometric Discretization2017

    • Author(s)
      K. Takizawa and T.E. Tezduyar
    • Organizer
      International Conference on Isogeometric Analysis
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Space-Time Slip Interface (ST-SI) Method and Its ST Friends2017

    • Author(s)
      K. Takizawa, T. Tezduyar, T. Terahara, T. Sasaki
    • Organizer
      19TH INTERNATIONAL CONFERENCE ON FINITE ELEMENTS IN FLOW PROBLEMS
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Computation and numerical analysis of viscous and viscoelastic fluid flows2017

    • Author(s)
      Computation and numerical analysis of viscous and viscoelastic fluid flows
    • Organizer
      Workshop on Numerical Methods and Analysis for Structures and Singularities in Fluids II
    • Place of Presentation
      Nagoya University, Nagoya
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Oseen型Peterlin粘弾性流体モデルのための線形Lagrange-Galerkinスキーム2017

    • Author(s)
      野津裕史
    • Organizer
      研究集会:数値解析の理論と実践
    • Place of Presentation
      石川県政記念 しいのき迎賓館,金沢
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 流体機械内の紐の挙動と滞留時間2016

    • Author(s)
      金子 真之, 望月 寛己, 新井 一真, 滝沢 研二, Tezduyar Tayfun E
    • Organizer
      日本流体力学会 第30回数値流体力学シンポジウム
    • Place of Presentation
      タワーホール船堀
    • Year and Date
      2016-12-12
    • Related Report
      2016 Research-status Report
  • [Presentation] フィルターを含む排気システムのマルチスケール熱流体解析2016

    • Author(s)
      大原 崇裕, 乙黒 雄斗, 滝沢 研二, Tayfun E. Tezduyar
    • Organizer
      日本機械学会 第94期流体工学部門講演会
    • Place of Presentation
      山口大学工学部
    • Year and Date
      2016-11-12
    • Related Report
      2016 Research-status Report
  • [Presentation] Aorta and Heart Valve Flow Analysis with the Space-Time Topology Change (ST-TC) Method and NURBS in Space2016

    • Author(s)
      T. Terahara, K. Takizawa, Hiroaki Uchikawa, and T.E. Tezduyar
    • Organizer
      USACM Conference on Isogeometric Analysis and Meshfree Methods
    • Place of Presentation
      アメリカ・カルフォルニア
    • Year and Date
      2016-10-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 現象のモデリングとシミュレーション:流体を例に2016

    • Author(s)
      野津裕史
    • Organizer
      スパコン産学連携利用・人材育成セミナー in 北陸
    • Place of Presentation
      北陸先端科学技術大学院大学,金沢
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Oseen 型拡散 Peterlin モデルのための安定化 Lagrange-Galerkin スキームの誤差評価2016

    • Author(s)
      野津裕史,田端正久,M. Lukacova,H. Mizerova
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      新潟コンベンションセンター,新潟
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-02-16  

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