粘弾性流体に特有な渦の数理解析

• Project/Area Number: 18H01135
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Basic Section 12040:Applied mathematics and statistics-related
• Research Institution: Kanazawa 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: ¥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

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。

Research Products

• [Journal Article] Tristability in Viscoelastic Flow Past Side-by-Side Microcylinders (2021)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Effects of Shearing and Extensional Flows on the Alignment of Colloidal Rods (2021)
  • Author(s): Calabrese Vincenzo、Haward Simon J.、Shen Amy Q.
  • Journal Title: Macromolecules Volume: －
  • DOI: 10.1021/acs.macromol.0c02155
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Periodic fluctuations of streamwise vortices in inertia-dominated intersecting flows (2021)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Interfacial Tension Measurements in Microfluidic Quasi-Static Extensional Flows (2021)
  • Author(s): Lee Doojin、Shen Amy Q.
  • Journal Title: Micromachines Volume: 12 Pages: 272-272
  • DOI: 10.3390/mi12030272
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations (2021)
  • Author(s): Jeong In-Jee、Yoneda Tsuyoshi
  • Journal Title: Nonlinearity Volume: 34 Pages: 1837-1853
  • DOI: 10.1088/1361-6544/abd52d
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Shape optimization for suppressing coherent structure of two-dimensional open cavity flow (2021)
  • 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
  • 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 condition (2021)
  • 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
  • Peer Reviewed
• [Journal Article] Viscous flow through microfabricated axisymmetric contraction/expansion geometries (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Transition between solid and liquid state of yield-stress fluids under purely extensional deformations (2020)
  • 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
  • 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 substrates (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Rheology of the Electric Double Layer in Electrolyte Solutions (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Asymmetric flows of complex fluids past confined cylinders: A comprehensive numerical study with experimental validation (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations (2020)
  • Author(s): I.-J. Jeong and T. Yoneda
  • Journal Title: Mathematische Annalen Volume: -
  • DOI: 10.1007/s00208-020-02019-z
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Three-dimensional Euler flow generating instantaneous vortex stretching and related zeroth law (2020)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Shape Optimization of Flow Fields Considering Proper Orthogonal Decomposition (2020)
  • 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
  • Peer Reviewed
• [Journal Article] Differential cell adhesion implemented by Drosophila Toll corrects local distortions of the anterior-posterior compartment boundary (2020)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Particle trapping in merging flow junctions by fluid-solute-colloid-boundary interactions (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Intracellular nanomaterial delivery via spiral hydroporation (2020)
  • Author(s): Kang, Carlson, Kang, Lee, Haward, Choi, Shen, Chung
  • Journal Title: ACS Nano Volume: 14 Pages: 3048-3058
  • DOI: 10.1021/acsnano.9b07930
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Analysis of a projection method for the Stokes problem using an ε-Stokes approach (2019)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Chaos in nanomagnet via feedback current (2019)
  • 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
  • Peer Reviewed
• [Journal Article] Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media (2019)
  • Author(s): I. Wijaya, H. Notsu
  • Journal Title: Discrete & Continuous Dynamical Systems - S Volume: -
  • DOI: 10.3934/dcdss.2020234
  • Peer Reviewed
• [Journal Article] Substrate stiffness affects particle distribution pattern in a drying suspension droplet (2019)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Rheological scaling of ionic-liquid-based polyelectrolytes in ionic liquid solutions (2019)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Heterogeneous flow inside threads of low viscosity fluids leads to anomalous long filament lifetimes (2019)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Microfluidic analog of an opposed-jets device (2019)
  • Author(s): Haward, Hopkins, Toda-Peters, Shen
  • Journal Title: Applied Physics Letters Volume: 114 Pages: 223701-223701
  • DOI: 10.1063/1.5097850
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Coupling of vortex breakdown and stability in a swirling flow (2019)
  • Author(s): Chan, Ault, Haward, Meiburg, Shen
  • Journal Title: Physical Review Fluids Volume: 4 Pages: 084701-084701
  • DOI: 10.1103/physrevfluids.4.084701
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Purely elastic fluid-structure interactions in microfluidics: Implications for mucociliary flows (2019)
  • Author(s): C.C. Hopkins, S.J. Haward, A.Q. Shen
  • Journal Title: Small Volume: 16 Pages: 1903872-1903872
  • DOI: 10.1002/smll.201903872
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Shape optimization problem based on the generalized J integral considering RANS and Snapshot POD (2019)
  • Author(s): T. Nakazawa
  • Journal Title: JFST Volume: 14 Issue: 3 Pages: JFST0015-JFST0015
  • DOI: 10.1299/jfst.2019jfst0015
  • NAID: 130007769238
  • ISSN: 1880-5558
  • Peer Reviewed / Open Access
• [Journal Article] Optimal Design by Adaptive Mesh Refinement on Shape Optimization of Flow Fields Considering Proper Orthogonal Decomposition (2019)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] GENERALIZED FLOW FIELD SHAPE OPTIMIZATION WITH SNAPSHOT POD (2019)
  • 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
  • Peer Reviewed
• [Journal Article] The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme (2019)
  • 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
  • Peer Reviewed
• [Journal Article] Controlled symmetry breaking and vortex dynamics in intersecting flows (2019)
  • 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
  • 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 boundary (2019)
  • Author(s): L. Lichtenfelz, T. Yoneda
  • Journal Title: Journal of Mathematical Fluid Mechanics Volume: 21
  • DOI: 10.1007/s00021-019-0424-7
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation (2019)
  • Author(s): E. Nakai, T. Yoneda
  • Journal Title: Hokkaido Mathematical Journal Volume: 48 Pages: 99-140
  • Peer Reviewed
• [Journal Article] Apical Junctional Fluctuations Lead to Cell Flow while Maintaining Epithelial Integrity (2019)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Flow control by the fusion between mathematical and data sciences (2019)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Multi-axial non-contact in situ micromanipulation by steady streaming around two oscillating cylinders on holonomic miniature robots (2018)
  • Author(s): O. Fuchiwaki, Y. Tanaka, H. Notsu, T. Hyakutake
  • Journal Title: Microfluidics and Nanofluidics Volume: 22
  • DOI: 10.1007/s10404-018-2098-5
  • Peer Reviewed
• [Journal Article] “Phase diagram” for viscoelastic Poiseuille flow over a wavy surface (2018)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Evaporation and morphological patterns of bi-dispersed colloidal droplets on hydrophilic and hydrophobic surfaces (2018)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Fluid Viscoelasticity Drives Self-Assembly of Particle Trains in a Straight Microfluidic Channel (2018)
  • 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
  • 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 spaces (2018)
  • Author(s): Misiolek Gerard、Yoneda Tsuyoshi
  • Journal Title: Transactions of the American Mathematical Society Volume: 370 Pages: 4709-4730
  • DOI: 10.1090/tran/7101
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Global well posedness for a two-fluid model (2018)
  • Author(s): Y. Giga, S. Ibrahim, S. Shen, T. Yoneda
  • Journal Title: Differential Integral Equations Volume: 31 Pages: 187-214
  • NAID: 120006459752
  • Peer Reviewed / Int'l Joint Research
• [Presentation] Twin vortex computer in fluid flow (2021)
  • Author(s): H. Notsu, K. Goto and K. Nakajima
  • Organizer: International Conference: Differential Equations for Data Science 2021 (DEDS2021)
  • Int'l Joint Research / Invited
• [Presentation] Vorticity maximization for a fluid with a nonlinear do-nothing boundary condition: A shape design approach (2021)
  • Author(s): J.S.H. Simon and H. Notsu
  • Organizer: 第2回若手数学者交流会
• [Presentation] Vorticity maximization of a linear fluid flow via volume and perimeter constrained shape optimization (2021)
  • Author(s): J.S.H. Simon and H. Notsu
  • Organizer: Czech-Japanese Seminar in Applied Mathematics (CJS2021)
  • Int'l Joint Research
• [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time for convection-diffusion problems (2021)
  • Author(s): T. Suzuki, K. Futai and H. Notsu
  • Organizer: Czech-Japanese Seminar in Applied Mathematics (CJS2021)
  • Int'l Joint Research
• [Presentation] Three dimensional numerical simulation of the Navier-Stokes equations in straight and curved cylindrical domains (2021)
  • Author(s): A.M. Iknaningrum, H. Notsu, P.-Y. Hsu and T. Yoneda
  • Organizer: Czech-Japanese Seminar in Applied Mathematics (CJS2021)
  • Int'l Joint Research
• [Presentation] An adaptive Lagrangian finite-volume method for convection-diffusion equations (2021)
  • Author(s): N. Kolbe and H. Notsu
  • Organizer: Czech-Japanese Seminar in Applied Mathematics (CJS2021)
  • Int'l Joint Research
• [Presentation] Instabilities of viscoelastic flows around slender posts (2021)
  • Author(s): Simon J. Haward and Amy Q. Shen
  • Organizer: Virtual workshop on Viscoelastic flow instabilities and elastic turbulence
  • Int'l Joint Research / Invited
• [Presentation] Using microfluidics to probe complex flows in biomimetic systems (2021)
  • Author(s): Amy Q. Shen
  • Organizer: The Australian Colloid and Interface Symposium (Virtual)
  • Int'l Joint Research / Invited
• [Presentation] Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations (2021)
  • Author(s): T. Yoneda
  • Organizer: Analysis and PDEs seminar, Cergy Paris Universite (online)
  • 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
  • Invited
• [Presentation] A Lagrangian moving mesh scheme for advection-diffusion equations (2020)
  • Author(s): N. Kolbe, H. Notsu
  • Organizer: 2020年度応用数学合同研究集会
• [Presentation] Non-Newtonian flows and instabilities in 3D glass microfluidic devices (2020)
  • Author(s): Simon J. Haward and Amy Q. Shen
  • Organizer: JNNFM Complex Fluids Seminar Series
  • Int'l Joint Research / Invited
• [Presentation] New opportunities to probe complex flows and detect diseases by employing novel micro and nanofabrication techniques (2020)
  • Author(s): Amy Q. Shen
  • Organizer: ETH-EMPA
  • Int'l Joint Research / Invited
• [Presentation] Illuminating views on viscoelastic vortices in 3D micro-contraction flows (2020)
  • 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
  • Int'l Joint Research
• [Presentation] Periodic fluctuations of streamwise vortices in inertia-dominated intersecting flows (2020)
  • 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
  • Int'l Joint Research
• [Presentation] Asymmetric flows of complex fluids past confined cylinders: A numerical study (2020)
  • Author(s): Stylianos Varchanis, Cameron C. Hopkins, Amy Q. Shen, John Tsamopoulos, Simon J. Haward
  • Organizer: Virtual International Congress on Rheology
  • Int'l Joint Research
• [Presentation] Novel glass microfluidic devices for probing flow instabilities of complex fluids (2020)
  • Author(s): Amy Q. Shen
  • Organizer: Virtual International Congress on Rheology
  • Int'l Joint Research / Invited
• [Presentation] New Nano/Microfluidic Platforms for Diagnostic Applications (2020)
  • Author(s): Amy Q. Shen
  • Organizer: 10th International Colloids Conference (Virtual)
  • Int'l Joint Research / Invited
• [Presentation] Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations (2020)
  • Author(s): T. Yoneda
  • Organizer: International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics
  • 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
• [Presentation] Shape Optimization Problem for Suppressing Time Fluctuation Part of Transient Non-Newton Fluid (2020)
  • Author(s): T. Nakazawa
  • Organizer: ICFD Sendai
  • Int'l Joint Research
• [Presentation] Shape Optimization Problem for Complex Flows (2020)
  • Author(s): T. Nakazawa
  • Organizer: Compsafe
  • 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
• [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
  • 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
• [Presentation] The gradient flow structure of an extended Maxwell viscoelastic model (2019)
  • Author(s): H. Notsu
  • Organizer: MAFELAP 2019: The Mathematics of Finite Elements and Applications 2019
  • Int'l Joint Research / Invited
• [Presentation] A Lagrange-Galerkin scheme with adaptive mesh refinement for two-fluid flow problems (2019)
  • Author(s): H. Notsu
  • Organizer: AFSI 2019: Advances in Computational Fluid-Structure Interaction and Flow Simulation
  • Int'l Joint Research / Invited
• [Presentation] Lagrange-Galerkin schemes for flow problems (2019)
  • Author(s): H. Notsu
  • Organizer: The 142nd Everest Forum
  • Int'l Joint Research / Invited
• [Presentation] An extended Maxwell viscoelastic model: Derivation and FEM (2019)
  • Author(s): H. Notsu
  • Organizer: Karlstad Applied Analysis Seminar
  • Int'l Joint Research / Invited
• [Presentation] Numerical analysis of the stabilized Lagrange-Galerkin method (2019)
  • Author(s): H. Notsu
  • Organizer: Karlstad Applied Analysis Seminar
  • 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
• [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
  • 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
  • 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
• [Presentation] Numerical studies of viscoelastic droplets (2019)
  • 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
• [Presentation] The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme (2018)
  • Author(s): H. Notsu
  • Organizer: Conference on Mathematical Fluid Dynamics
  • Int'l Joint Research / Invited
• [Presentation] The gradient flow structure of the Maxwell viscoelastic model and a structure-preserving finite element scheme (2018)
  • Author(s): H. Notsu
  • Organizer: KSIAM 2018 Spring Conference
  • Int'l Joint Research / Invited
• [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time with adaptive mesh refinement for convection problems (2018)
  • Author(s): H. Notsu
  • Organizer: CoMFoS18
  • Int'l Joint Research / Invited
• [Presentation] Numerical analysis of Lagrange-Galerkin schemes for flow problems (2018)
  • Author(s): H. Notsu
  • Organizer: International Workshop on Computational Science 2018
  • Int'l Joint Research / Invited
• [Presentation] A mass-conservative Lagrange-Galerkin scheme of second-order in time with AMR for convection problems (2018)
  • Author(s): H. Notsu
  • Organizer: CJK2018: The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics
  • 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
  • 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
• [Presentation] Development of an accurate Lagrange-Galerkin scheme with adaptive mesh refinement (2018)
  • Author(s): H. Notsu
  • Organizer: Extended Kanazawa Analysis Seminar
  • 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
• [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
• [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
• [Remarks] Scheme.HN
  • URL: http://scheme.hn/
• [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
• [Funded Workshop] International Conference: Differential Equations for Data Science 2021 (DEDS2021) (2021)
• [Funded Workshop] CoMFoS19: Mathematical Aspects of Continuum Mechanics (2019)