标题
A mathematician’s perspective on the Oldroyd B model: Progress and future challenges
作者
关键词
Oldroyd B model, Existence theory, Flow stability, High Weissenberg number, Numerical simulation
出版物
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 293, Issue -, Pages 104573
出版商
Elsevier BV
发表日期
2021-05-22
DOI
10.1016/j.jnnfm.2021.104573
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- Numerical Methods for Viscoelastic Fluid Flows
- (2020) M.A. Alves et al. Annual Review of Fluid Mechanics
- Some new global results to the incompressible Oldroyd-B model
- (2019) Renhui Wan ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- Orientation dependent elastic stress concentration at tips of slender objects translating in viscoelastic fluids
- (2019) Chuanbin Li et al. Physical Review Fluids
- Effect of polymer-stress diffusion in the numerical simulation of elastic turbulence
- (2019) Anupam Gupta et al. JOURNAL OF FLUID MECHANICS
- Polymer stress growth in viscoelastic fluids in oscillating extensional flows with applications to micro-organism locomotion
- (2019) Becca Thomases et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Convergent solutions of Stokes Oldroyd-B boundary value problems using the Immersed Boundary Smooth Extension (IBSE) method
- (2019) David B. Stein et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Viscoelastic fluid flow simulation using the contravariant deformation formulation
- (2019) Mick A. Carrozza et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Control of a purely elastic symmetry-breaking flow instability in cross-slot geometries
- (2019) Mahdi Davoodi et al. JOURNAL OF FLUID MECHANICS
- Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids
- (2018) John W. Barrett et al. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- Proper Orthogonal Decomposition (POD) of the flow dynamics for a viscoelastic fluid in a four-roll mill geometry at the Stokes limit
- (2018) Paloma Gutierrez-Castillo et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Fully resolved viscoelastic particulate simulations using unstructured grids
- (2017) Sreenath Krishnan et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains
- (2017) David B. Stein et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Flagellar swimming in viscoelastic fluids: role of fluid elastic stress revealed by simulations based on experimental data
- (2017) Chuanbin Li et al. Journal of the Royal Society Interface
- Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods
- (2016) David B. Stein et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Equilibrium circulation and stress distribution in viscoelastic creeping flow
- (2016) Joseph A. Biello et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- The effect of gait on swimming in viscoelastic fluids
- (2016) Gwynn J. Elfring et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Flagellar Kinematics and Swimming of Algal Cells in Viscoelastic Fluids
- (2015) B. Qin et al. Scientific Reports
- Enhanced active swimming in viscoelastic fluids
- (2014) Emily E. Riley et al. EPL
- A new viscoelastic benchmark flow: Stationary bifurcation in a cross-slot
- (2014) F.A. Cruz et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Fully-implicit log-conformation formulation of constitutive laws
- (2014) Philipp Knechtges et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- The initial value problem for creeping flow of the upper convected Maxwell fluid at high Weissenberg number
- (2014) Michael Renardy MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Locomotion of microorganisms near a no-slip boundary in a viscoelastic fluid
- (2014) Shahrzad Yazdi et al. PHYSICAL REVIEW E
- Mechanisms of Elastic Enhancement and Hindrance for Finite-Length Undulatory Swimmers in Viscoelastic Fluids
- (2014) Becca Thomases et al. PHYSICAL REVIEW LETTERS
- Modeling viscoelastic networks in Stokes flow
- (2014) Jacek K. Wróbel et al. PHYSICS OF FLUIDS
- Drag reduction and the dynamics of turbulence in simple and complex fluids
- (2014) Michael D. Graham PHYSICS OF FLUIDS
- Effect of solid boundaries on swimming dynamics of microorganisms in a viscoelastic fluid
- (2014) G. -J. Li et al. RHEOLOGICA ACTA
- Remarks on Oldroyd-B and related complex fluid models
- (2013) Peter Constantin et al. Communications in Mathematical Sciences
- Well-Posedness of the Prandtl Boundary Layer Equations for the Upper Convected Maxwell Fluid
- (2013) Michael Renardy Journal of Dynamics and Differential Equations
- Well-Posedness of Boundary Layer Equations for Time-Dependent Flow of Non-Newtonian Fluids
- (2013) Michael Renardy et al. Journal of Mathematical Fluid Mechanics
- Viscoelastic flow around a confined cylinder using spectral/hp element methods
- (2013) S. Claus et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Speed of a swimming sheet in Newtonian and viscoelastic fluids
- (2013) Moumita Dasgupta et al. PHYSICAL REVIEW E
- Locomotion of Helical Bodies in Viscoelastic Fluids: Enhanced Swimming at Large Helical Amplitudes
- (2013) Saverio E. Spagnolie et al. PHYSICAL REVIEW LETTERS
- Fluid elasticity increases the locomotion of flexible swimmers
- (2013) Julian Espinosa-Garcia et al. PHYSICS OF FLUIDS
- Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress
- (2012) Peter Constantin et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Global existence of weak solutions to macroscopic models of polymeric flows
- (2011) Nader Masmoudi JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Global existence results for Oldroyd-B fluids in exterior domains
- (2011) Matthias Hieber et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Stability of steady flows for multi-mode Maxwell fluids
- (2011) Michael Renardy JOURNAL OF EVOLUTION EQUATIONS
- An analysis of the effect of stress diffusion on the dynamics of creeping viscoelastic flow
- (2011) Becca Thomases JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- A Stokesian viscoelastic flow: Transition to oscillations and mixing
- (2011) Becca Thomases et al. PHYSICA D-NONLINEAR PHENOMENA
- Undulatory Swimming in Viscoelastic Fluids
- (2011) X. N. Shen et al. PHYSICAL REVIEW LETTERS
- Force-free swimming of a model helical flagellum in viscoelastic fluids
- (2011) B. Liu et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems
- (2010) H. Damanik et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- On the ill-posedness of the Prandtl equation
- (2010) David Gérard-Varet et al. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
- Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number
- (2010) Xiaojun Wang et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Viscoelastic Fluid Response Can Increase the Speed and Efficiency of a Free Swimmer
- (2010) Joseph Teran et al. PHYSICAL REVIEW LETTERS
- Life at high Deborah number
- (2009) E. Lauga EPL
- A mechanism for oscillatory instability in viscoelastic cross-slot flow
- (2009) LI XI et al. JOURNAL OF FLUID MECHANICS
- On the high Weissenberg number limit of the upper convected Maxwell fluid
- (2009) Michael Renardy JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Transition to Mixing and Oscillations in a Stokesian Viscoelastic Flow
- (2009) Becca Thomases et al. PHYSICAL REVIEW LETTERS
- Swimming speeds of filaments in nonlinearly viscoelastic fluids
- (2009) Henry C. Fu et al. PHYSICS OF FLUIDS
- Control of hyperactivation in sperm
- (2008) S. S. Suarez HUMAN REPRODUCTION UPDATE
- Viscoelastic sink flow in a wedge for the UCM and Oldroyd-B models
- (2008) Jonathan D. Evans et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Stability of viscoelastic shear flows in the limit of high Weissenberg and Reynolds numbers
- (2008) Michael Renardy JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- On extensibility effects in the cross-slot flow bifurcation
- (2008) Gerardo N. Rocha et al. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
- Coil-stretch transition and the breakdown of computations for viscoelastic fluid flow around a confined cylinder
- (2008) Mohit Bajaj et al. JOURNAL OF RHEOLOGY
- Beating patterns of filaments in viscoelastic fluids
- (2008) Henry C. Fu et al. PHYSICAL REVIEW E
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