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粘弾性流体に特有な渦の数理解析

Research Project

Project/Area Number 18H01135
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionKanazawa University

Principal Investigator

野津 裕史  金沢大学, 数物科学系, 教授 (00588783)

Co-Investigator(Kenkyū-buntansha) 中澤 嵩  大阪大学, 数理・データ科学教育研究センター, 准教授 (20726765)
米田 剛  東京大学, 大学院数理科学研究科, 准教授 (30619086)
SHEN Amy  沖縄科学技術大学院大学, マイクロ・バイオ・ナノ流体ユニット, 教授 (70740314)
佐藤 勝彦  北海道大学, 電子科学研究所, 准教授 (90513622)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Granted (Fiscal Year 2021)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2021: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2019: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2018: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Keywords粘弾性流体 / 渦
Outline of Annual Research Achievements

円柱周りの流れを考える。例えば水などの粘性流体では、(流体の粘度と速度に関する無次元数である)レイノルズ数がある程度大きいときに円柱の下流方向においてカルマン渦が発生する。これはよく知られている事実であり、非圧縮ナヴィエ・ストークス方程式の数値シミュレーションによって再現できる。一方、粘弾性流体では、レイノルズ数が小さく(緩和時間と剪断速度に関する無次元数である)ワイゼンベルグ数が大きいときに円柱の上流方向において、渦が発生することが物理実験によって確認されている。これが、粘弾性流体に特有な渦である。粘弾性流体に特有な渦を偏微分方程式の数値シミュレーションによって再現することが本研究の目的である。数値シミュレーション手法において物理的に自然な数値解法であるラグランジュ座標に基づく定式化を拡張した一般化リー微分のアイデアに基づいて、上対流マックスウェル微分の時間2次精度化に成功した(投稿済)。汎用的な時間離散化を与えており、有限差分法や有限要素法と組み合わせることが可能である。これを用いて高ワイゼンベルグ数の問題を調査し、ある程度の有効性を見出した。解析は容易ではなくなるものの、よく知られている対数を用いた方程式の変換のアイデアなどによって配向テンソルの正定値性を維持することを考慮しつつ、引き続き開発を行う。一方で、純粋数学、細胞生物学におけるモデリング、最適化問題の側面から渦に注目した結果が得られた。特に、オルドロイドB型の方程式の一つであるPTT(Phan-Thien--Tanner)モデルを用いて、円柱まわりに非対称性が現れることが見出された。

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

一般化リー微分のアイデアに基づいた上対流マックスウェル微分の時間2次精度化に成功している。また、純粋数学、細胞生物学におけるモデリング、最適化問題などの観点から渦に注目した結果が得られている。

Strategy for Future Research Activity

数値解法としては、対数を用いた方程式を変換するアイデアなどを検討する予定である。解析の観点からある程度避けてきたが安定性を優先する方針をとる。オルドロイドB型のモデルでは非対称性は現れるものの、まだ渦は見られていないのが現状である。代表者・分担者によって得られた知見を用いて、粘弾性流体に特有な渦が発生するメカニズムに迫る。

Report

(3 results)
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report

Research Products

(92 results)

All 2021 2020 2019 2018 Other

All Journal Article (42 results) (of which Int'l Joint Research: 28 results,  Peer Reviewed: 42 results,  Open Access: 25 results) Presentation (45 results) (of which Int'l Joint Research: 28 results,  Invited: 25 results) Book (1 results) Remarks (1 results) Patent(Industrial Property Rights) (1 results) Funded Workshop (2 results)

  • [Journal Article] Tristability in Viscoelastic Flow Past Side-by-Side Microcylinders2021

    • Author(s)
      Hopkins Cameron C.、Haward Simon J.、Shen Amy Q.
    • Journal Title

      Physical Review Letters

      Volume: 126 Pages: 054501-054501

    • DOI

      10.1103/physrevlett.126.054501

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Effects of Shearing and Extensional Flows on the Alignment of Colloidal Rods2021

    • Author(s)
      Calabrese Vincenzo、Haward Simon J.、Shen Amy Q.
    • Journal Title

      Macromolecules

      Volume: -

    • DOI

      10.1021/acs.macromol.0c02155

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Periodic fluctuations of streamwise vortices in inertia-dominated intersecting flows2021

    • Author(s)
      Burshtein N.、Zografos K.、Shen A. Q.、Poole R. J.、Haward S. J.
    • Journal Title

      Physics of Fluids

      Volume: 33 Pages: 014106-014106

    • DOI

      10.1063/5.0031712

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Interfacial Tension Measurements in Microfluidic Quasi-Static Extensional Flows2021

    • Author(s)
      Lee Doojin、Shen Amy Q.
    • Journal Title

      Micromachines

      Volume: 12 Pages: 272-272

    • DOI

      10.3390/mi12030272

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations2021

    • Author(s)
      Jeong In-Jee、Yoneda Tsuyoshi
    • Journal Title

      Nonlinearity

      Volume: 34 Pages: 1837-1853

    • DOI

      10.1088/1361-6544/abd52d

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Shape optimization for suppressing coherent structure of two-dimensional open cavity flow2021

    • Author(s)
      NAKAZAWA Takashi、MISAKA Takashi、POIGNARD Clair
    • Journal Title

      JFST

      Volume: 16 Issue: 1 Pages: 0002-0002

    • DOI

      10.1299/jfst.2021jfst0002

    • NAID

      130007965516

    • ISSN
      1880-5558
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition2021

    • Author(s)
      M.M. Murshed, K. Futai, M. Kimura, H. Notsu
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: - Pages: 1063-1078

    • DOI

      10.3934/dcdss.2020230

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Viscous flow through microfabricated axisymmetric contraction/expansion geometries2020

    • Author(s)
      Pimenta Francisco、Toda-Peters Kazumi、Shen Amy Q.、Alves Manuel A.、Haward Simon J.
    • Journal Title

      Experiments in Fluids

      Volume: 61 Pages: 204-204

    • DOI

      10.1007/s00348-020-03036-z

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Transition between solid and liquid state of yield-stress fluids under purely extensional deformations2020

    • Author(s)
      Varchanis Stylianos、Haward Simon J.、Hopkins Cameron C.、Syrakos Alexandros、Shen Amy Q.、Dimakopoulos Yannis、Tsamopoulos John
    • Journal Title

      Proceedings of the National Academy of Sciences

      Volume: 117 Pages: 12611-12617

    • DOI

      10.1073/pnas.1922242117

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Understanding of the role of dilution on evaporative deposition patterns of blood droplets over hydrophilic and hydrophobic substrates2020

    • Author(s)
      Iqbal R.、Shen Amy Q.、Sen A.K.
    • Journal Title

      Journal of Colloid and Interface Science

      Volume: 579 Pages: 541-550

    • DOI

      10.1016/j.jcis.2020.04.109

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Rheology of the Electric Double Layer in Electrolyte Solutions2020

    • Author(s)
      Funari Riccardo、Matsumoto Atsushi、de Bruyn John R.、Shen Amy Q
    • Journal Title

      Analytical Chemistry

      Volume: N/A Pages: 8244-8253

    • DOI

      10.1021/acs.analchem.0c00475

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Asymmetric flows of complex fluids past confined cylinders: A comprehensive numerical study with experimental validation2020

    • Author(s)
      Varchanis Stylianos、Hopkins Cameron C.、Shen Amy Q.、Tsamopoulos John、Haward Simon J.
    • Journal Title

      Physics of Fluids

      Volume: 32 Pages: 053103-053103

    • DOI

      10.1063/5.0008783

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations2020

    • Author(s)
      I.-J. Jeong and T. Yoneda
    • Journal Title

      Mathematische Annalen

      Volume: -

    • DOI

      10.1007/s00208-020-02019-z

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Three-dimensional Euler flow generating instantaneous vortex stretching and related zeroth law2020

    • Author(s)
      I.-J. Jeong and T. Yoneda
    • Journal Title

      Journal of Japan Society of Fluid Mechanics: ながれ

      Volume: 39 Pages: 230-239

    • NAID

      40022357034

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Shape Optimization of Flow Fields Considering Proper Orthogonal Decomposition2020

    • Author(s)
      Nakazawa Takashi
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Proceedings of the International Conference CoMFoS18

      Volume: - Pages: 125-145

    • DOI

      10.1007/978-981-15-6062-0_9

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Differential cell adhesion implemented by Drosophila Toll corrects local distortions of the anterior-posterior compartment boundary2020

    • Author(s)
      Iijima N, Sato K, Kuranaga E, Umetsu D.
    • Journal Title

      Nature communications

      Volume: 11 Pages: 6320-6320

    • DOI

      10.1038/s41467-020-20118-y

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Particle trapping in merging flow junctions by fluid-solute-colloid-boundary interactions2020

    • Author(s)
      S. Shin, J.T. Ault, K. Toda-Peters, A.Q. Shen
    • Journal Title

      Physical Review Fluids

      Volume: 5

    • DOI

      10.1103/physrevfluids.5.024304

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Intracellular nanomaterial delivery via spiral hydroporation2020

    • Author(s)
      Kang, Carlson, Kang, Lee, Haward, Choi, Shen, Chung
    • Journal Title

      ACS Nano

      Volume: 14 Pages: 3048-3058

    • DOI

      10.1021/acsnano.9b07930

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Analysis of a projection method for the Stokes problem using an ε-Stokes approach2019

    • Author(s)
      M. Kimura, K. Matsui, A. Muntean, H. Notsu
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 36 Issue: 3 Pages: 959-985

    • DOI

      10.1007/s13160-019-00373-3

    • ISSN
      0916-7005, 1868-937X
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Chaos in nanomagnet via feedback current2019

    • Author(s)
      T. Taniguchi, N. Akashi, H. Notsu, M. Kimura, H. Tsukahara, K. Nakajima
    • Journal Title

      Physical Review B

      Volume: 100 Pages: 174425-174425

    • DOI

      10.1103/physrevb.100.174425

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media2019

    • Author(s)
      I. Wijaya, H. Notsu
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: -

    • DOI

      10.3934/dcdss.2020234

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Substrate stiffness affects particle distribution pattern in a drying suspension droplet2019

    • Author(s)
      R. Iqbal, A. Matsumoto, A. Sudeepthi, A.Q. Shen, A.K. Sen
    • Journal Title

      Applied Physics Letters

      Volume: 114 Pages: 253701-253701

    • DOI

      10.1063/1.5097620

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Rheological scaling of ionic-liquid-based polyelectrolytes in ionic liquid solutions2019

    • Author(s)
      A. Matsumoto, F. Del Giudice, R. Rotrattanadumrong, A.Q. Shen
    • Journal Title

      Macromolecules

      Volume: 52 Pages: 2759-2771

    • DOI

      10.1021/acs.macromol.8b02544

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Heterogeneous flow inside threads of low viscosity fluids leads to anomalous long filament lifetimes2019

    • Author(s)
      S.M. Recktenwald, S.J. Haward, A.Q. Shen, N. Willenbacher
    • Journal Title

      Scientific Reports

      Volume: 9 Pages: 7110-7121

    • DOI

      10.1038/s41598-019-43590-z

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Microfluidic analog of an opposed-jets device2019

    • Author(s)
      Haward, Hopkins, Toda-Peters, Shen
    • Journal Title

      Applied Physics Letters

      Volume: 114 Pages: 223701-223701

    • DOI

      10.1063/1.5097850

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Coupling of vortex breakdown and stability in a swirling flow2019

    • Author(s)
      Chan, Ault, Haward, Meiburg, Shen
    • Journal Title

      Physical Review Fluids

      Volume: 4 Pages: 084701-084701

    • DOI

      10.1103/physrevfluids.4.084701

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Purely elastic fluid-structure interactions in microfluidics: Implications for mucociliary flows2019

    • Author(s)
      C.C. Hopkins, S.J. Haward, A.Q. Shen
    • Journal Title

      Small

      Volume: 16 Pages: 1903872-1903872

    • DOI

      10.1002/smll.201903872

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Shape optimization problem based on the generalized J integral considering RANS and Snapshot POD2019

    • Author(s)
      T. Nakazawa
    • Journal Title

      JFST

      Volume: 14 Issue: 3 Pages: JFST0015-JFST0015

    • DOI

      10.1299/jfst.2019jfst0015

    • NAID

      130007769238

    • ISSN
      1880-5558
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimal Design by Adaptive Mesh Refinement on Shape Optimization of Flow Fields Considering Proper Orthogonal Decomposition2019

    • Author(s)
      Takashi Nakazawa and Chihiro Nakajima
    • Journal Title

      IIS

      Volume: 25 Issue: 2 Pages: 147-160

    • DOI

      10.4036/iis.2019.b.02

      10.4036/iis.2019.B.02

    • NAID

      130007772491

    • ISSN
      1340-9050, 1347-6157
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] GENERALIZED FLOW FIELD SHAPE OPTIMIZATION WITH SNAPSHOT POD2019

    • Author(s)
      T. Nakazawa
    • Journal Title

      A2

      Volume: 75 Issue: 2 Pages: I_135-I_143

    • DOI

      10.2208/jscejam.75.2_i_135

      10.2208/jscejam.75.2_I_135

    • NAID

      130007795414

    • ISSN
      2185-4661
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme2019

    • Author(s)
      Kimura Masato、Notsu Hirofumi、Tanaka Yoshimi、Yamamoto Hiroki
    • Journal Title

      Journal of Scientific Computing

      Volume: 78 Pages: 1111-1131

    • DOI

      10.1007/s10915-018-0799-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Controlled symmetry breaking and vortex dynamics in intersecting flows2019

    • Author(s)
      Burshtein Noa、Shen Amy Q.、Haward Simon J.
    • Journal Title

      Physics of fluids

      Volume: 31 Pages: 034104-034104

    • DOI

      10.1063/1.5087732

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A local instability mechanism of the Navier-Stokes flow with swirl on the no-slip flat boundary2019

    • Author(s)
      L. Lichtenfelz, T. Yoneda
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 21

    • DOI

      10.1007/s00021-019-0424-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation2019

    • Author(s)
      E. Nakai, T. Yoneda
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 48 Pages: 99-140

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Apical Junctional Fluctuations Lead to Cell Flow while Maintaining Epithelial Integrity2019

    • Author(s)
      Okuda Satoru、Kuranaga Erina、Sato Katsuhiko
    • Journal Title

      Biophysical Journal

      Volume: 116 Pages: 1159-1170

    • DOI

      10.1016/j.bpj.2019.01.039

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Flow control by the fusion between mathematical and data sciences2019

    • Author(s)
      T. Nakazawa
    • Journal Title

      JAXA Special Publication: Proceedings of the 50th Fluid Dynamics Conference / the 36th Aerospace Numerical Simulation Symposium

      Volume: JAXA-SP-18-005 Pages: 131-134

    • NAID

      120006827193

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Multi-axial non-contact in situ micromanipulation by steady streaming around two oscillating cylinders on holonomic miniature robots2018

    • Author(s)
      O. Fuchiwaki, Y. Tanaka, H. Notsu, T. Hyakutake
    • Journal Title

      Microfluidics and Nanofluidics

      Volume: 22

    • DOI

      10.1007/s10404-018-2098-5

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] “Phase diagram” for viscoelastic Poiseuille flow over a wavy surface2018

    • Author(s)
      Haward Simon J.、Page Jacob、Zaki Tamer A.、Shen Amy Q.
    • Journal Title

      Physics of Fluids

      Volume: 30 Pages: 113101-113101

    • DOI

      10.1063/1.5057392

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Evaporation and morphological patterns of bi-dispersed colloidal droplets on hydrophilic and hydrophobic surfaces2018

    • Author(s)
      R. Iqbal, B. Majhy, A.Q. Shen, A.K. Sen
    • Journal Title

      Soft Matter

      Volume: 14 Pages: 9901-9909

    • DOI

      10.1039/c8sm01915k

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fluid Viscoelasticity Drives Self-Assembly of Particle Trains in a Straight Microfluidic Channel2018

    • Author(s)
      Del Giudice Francesco、D’Avino Gaetano、Greco Francesco、Maffettone Pier Luca、Shen Amy Q.
    • Journal Title

      Physical Review Applied

      Volume: 10

    • DOI

      10.1103/physrevapplied.10.064058

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Continuity of the solution map of the Euler equations in Holder spaces and weak norm inflation in Besov spaces2018

    • Author(s)
      Misiolek Gerard、Yoneda Tsuyoshi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 370 Pages: 4709-4730

    • DOI

      10.1090/tran/7101

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global well posedness for a two-fluid model2018

    • Author(s)
      Y. Giga, S. Ibrahim, S. Shen, T. Yoneda
    • Journal Title

      Differential Integral Equations

      Volume: 31 Pages: 187-214

    • NAID

      120006459752

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Twin vortex computer in fluid flow2021

    • Author(s)
      H. Notsu, K. Goto and K. Nakajima
    • Organizer
      International Conference: Differential Equations for Data Science 2021 (DEDS2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Vorticity maximization for a fluid with a nonlinear do-nothing boundary condition: A shape design approach2021

    • Author(s)
      J.S.H. Simon and H. Notsu
    • Organizer
      第2回若手数学者交流会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Vorticity maximization of a linear fluid flow via volume and perimeter constrained shape optimization2021

    • Author(s)
      J.S.H. Simon and H. Notsu
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics (CJS2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time for convection-diffusion problems2021

    • Author(s)
      T. Suzuki, K. Futai and H. Notsu
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics (CJS2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Three dimensional numerical simulation of the Navier-Stokes equations in straight and curved cylindrical domains2021

    • Author(s)
      A.M. Iknaningrum, H. Notsu, P.-Y. Hsu and T. Yoneda
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics (CJS2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] An adaptive Lagrangian finite-volume method for convection-diffusion equations2021

    • Author(s)
      N. Kolbe and H. Notsu
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics (CJS2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Instabilities of viscoelastic flows around slender posts2021

    • Author(s)
      Simon J. Haward and Amy Q. Shen
    • Organizer
      Virtual workshop on Viscoelastic flow instabilities and elastic turbulence
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Using microfluidics to probe complex flows in biomimetic systems2021

    • Author(s)
      Amy Q. Shen
    • Organizer
      The Australian Colloid and Interface Symposium (Virtual)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations2021

    • Author(s)
      T. Yoneda
    • Organizer
      Analysis and PDEs seminar, Cergy Paris Universite (online)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 不均質な多孔質媒体内の流れの安定性と数値計算2020

    • Author(s)
      野津裕史
    • Organizer
      京都駅前セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] A Lagrangian moving mesh scheme for advection-diffusion equations2020

    • Author(s)
      N. Kolbe, H. Notsu
    • Organizer
      2020年度応用数学合同研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Non-Newtonian flows and instabilities in 3D glass microfluidic devices2020

    • Author(s)
      Simon J. Haward and Amy Q. Shen
    • Organizer
      JNNFM Complex Fluids Seminar Series
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] New opportunities to probe complex flows and detect diseases by employing novel micro and nanofabrication techniques2020

    • Author(s)
      Amy Q. Shen
    • Organizer
      ETH-EMPA
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Illuminating views on viscoelastic vortices in 3D micro-contraction flows2020

    • Author(s)
      Daniel W. Carlson, Simon J. Haward, Amy Q. Shen
    • Organizer
      Virtual American Physical Society Division of Fluid Dynamics (APS-DFD) 73nd Annual Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Periodic fluctuations of streamwise vortices in inertia-dominated intersecting flows2020

    • Author(s)
      Noa Burshtein, Konstaninos Zografos, Amy Q. Shen, Robert J. Poole, Simon J. Haward
    • Organizer
      Virtual American Physical Society Division of Fluid Dynamics (APS-DFD) 73nd Annual Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymmetric flows of complex fluids past confined cylinders: A numerical study2020

    • Author(s)
      Stylianos Varchanis, Cameron C. Hopkins, Amy Q. Shen, John Tsamopoulos, Simon J. Haward
    • Organizer
      Virtual International Congress on Rheology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Novel glass microfluidic devices for probing flow instabilities of complex fluids2020

    • Author(s)
      Amy Q. Shen
    • Organizer
      Virtual International Congress on Rheology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] New Nano/Microfluidic Platforms for Diagnostic Applications2020

    • Author(s)
      Amy Q. Shen
    • Organizer
      10th International Colloids Conference (Virtual)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations2020

    • Author(s)
      T. Yoneda
    • Organizer
      International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 複雑流体場の形状最適化問題2020

    • Author(s)
      中澤嵩
    • Organizer
      JSIAM年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Shape Optimization Problem for Suppressing Time Fluctuation Part of Transient Non-Newton Fluid2020

    • Author(s)
      T. Nakazawa
    • Organizer
      ICFD Sendai
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shape Optimization Problem for Complex Flows2020

    • Author(s)
      T. Nakazawa
    • Organizer
      Compsafe
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2次元Jet-In-Cross Flowにおける時間変動場抑制に向けた形状最適化問題2020

    • Author(s)
      中澤嵩
    • Organizer
      数値流体シンポジウム
    • Related Report
      2020 Annual Research Report
  • [Presentation] 界面をもつポリマー流体の3次元挙動の数理解析2020

    • Author(s)
      野津裕史
    • Organizer
      数学パワーが世界を変える2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 移流拡散方程式のための質量保存時間2次精度 Lagrange-Galerkin スキームとその2流体問題への応用2020

    • Author(s)
      野津裕史, 二井滉太
    • Organizer
      日本応用数理学会 第16回研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] The gradient flow structure of an extended Maxwell viscoelastic model2019

    • Author(s)
      H. Notsu
    • Organizer
      MAFELAP 2019: The Mathematics of Finite Elements and Applications 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Lagrange-Galerkin scheme with adaptive mesh refinement for two-fluid flow problems2019

    • Author(s)
      H. Notsu
    • Organizer
      AFSI 2019: Advances in Computational Fluid-Structure Interaction and Flow Simulation
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lagrange-Galerkin schemes for flow problems2019

    • Author(s)
      H. Notsu
    • Organizer
      The 142nd Everest Forum
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An extended Maxwell viscoelastic model: Derivation and FEM2019

    • Author(s)
      H. Notsu
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis of the stabilized Lagrange-Galerkin method2019

    • Author(s)
      H. Notsu
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 移流拡散問題のための時間2次精度質量保存アダプティブ Lagrange-Galerkin スキームとその応用2019

    • Author(s)
      野津裕史, 二井滉太
    • Organizer
      第24回計算工学講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] ラグランジュ-ガレルキン法(特性曲線有限要素法)の数値解析2019

    • Author(s)
      野津裕史
    • Organizer
      東京大学大学院数理科学研究科, 集中講義
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Maxwell 型粘弾性モデルの勾配流構造2019

    • Author(s)
      野津裕史, 木村正人, 田中良巳, 山本大輝
    • Organizer
      RIMS 研究集会: 諸科学分野を結ぶ基礎学問としての数値解析学
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Reservoir computing を用いた流体の情報処理能力の解析とその応用2019

    • Author(s)
      後藤健, 中嶋浩平, 野津裕史
    • Organizer
      2019年度応用数学合同研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Numerical studies of viscoelastic droplets2019

    • Author(s)
      D. de O. Medeiros, H. Notsu, C.M. Oishi
    • Organizer
      2019年度応用数学合同研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme2018

    • Author(s)
      H. Notsu
    • Organizer
      Conference on Mathematical Fluid Dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme2018

    • Author(s)
      H. Notsu
    • Organizer
      KSIAM 2018 Spring Conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time with adaptive mesh refinement for convection problems2018

    • Author(s)
      H. Notsu
    • Organizer
      CoMFoS18
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis of Lagrange-Galerkin schemes for flow problems2018

    • Author(s)
      H. Notsu
    • Organizer
      International Workshop on Computational Science 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time with AMR for convection problems2018

    • Author(s)
      H. Notsu
    • Organizer
      CJK2018: The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 特性曲線を用いた流れ問題のための有限要素スキームの開発2018

    • Author(s)
      野津裕史
    • Organizer
      山形大学グリーンマテリアル成形加工研究センター 第42回合同セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] アダプティブ Lagrange-Galerkin スキームによる3次元移流問題の数値計算2018

    • Author(s)
      二井滉太, 野津裕史
    • Organizer
      第23回計算工学講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Development of an accurate Lagrange-Galerkin scheme with adaptive mesh refinement2018

    • Author(s)
      H. Notsu
    • Organizer
      Extended Kanazawa Analysis Seminar
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 時間2次精度質量保存アダプティブ Lagrange-Galerkin スキームと2流体問題への応用2018

    • Author(s)
      二井滉太, 野津裕史
    • Organizer
      2018年度応用数学合同研究集会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 2, 3次元 ALBERTA 型アダプティブ・メッシュ・リファインメントアルゴリズム2018

    • Author(s)
      二井滉太, 野津裕史
    • Organizer
      日本応用数理学会環瀬戸内応用数理研究部会第22回シンポジウム
    • Related Report
      2018 Annual Research Report
  • [Book] 数理流体力学への招待2020

    • Author(s)
      米田剛
    • Total Pages
      114
    • Publisher
      サイエンス社
    • ISBN
      9784781914688
    • Related Report
      2019 Annual Research Report
  • [Remarks] Scheme.HN

    • URL

      http://scheme.hn/

    • Related Report
      2019 Annual Research Report
  • [Patent(Industrial Property Rights)] 数値シミュレーション装置、数値シミュレーション方法および数値シミュレーションプログラム2020

    • Inventor(s)
      野津 裕史
    • Industrial Property Rights Holder
      野津 裕史
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2020-197392
    • Filing Date
      2020
    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] International Conference: Differential Equations for Data Science 2021 (DEDS2021)2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] CoMFoS19: Mathematical Aspects of Continuum Mechanics2019

    • Related Report
      2019 Annual Research Report

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Published: 2018-04-23   Modified: 2021-12-27  

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