Article
Physics, Fluids & Plasmas
E. Kirkinis
Summary: This paper investigates the extra stress exerted by a liquid with odd viscosity, which depends on the character of the boundary conditions. When only velocities are prescribed on the boundaries, this extra stress is generated by the null divergence part of the odd stress tensor. By calculating the extra stress for a viscous liquid between concentric rotating cylinders and the viscosity coefficient corrections in liquid suspensions, the fine point is demonstrated.
PHYSICAL REVIEW FLUIDS
(2023)
Article
Mathematics, Applied
Tagir Farkhutdinov, Francois Gay-Balmaz, Vakhtang Putkaradze
Summary: Biological organisms consist of deformable porous media capable of self-deformation and response to external forces through internal muscles. Equations of motion have been derived using variational methods to describe the dynamics of active porous media filled with incompressible fluid, providing a theoretical basis for applications in biology.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Physics, Multidisciplinary
Yuto Hosaka, Ramin Golestanian, Abdallah Daddi-Moussa-Ider
Summary: In this study, we explore the hydrodynamics of a linear active microswimmer on a compressible thin fluid layer with odd viscosity using theoretical and computational methods. We derive analytical expressions for the self-induced flow field and investigate the behavior of single and paired swimmers. Our findings reveal that a single swimmer follows a circular path inversely proportional to the magnitude of the odd viscosity, while paired swimmers exhibit a variety of dynamics depending on their initial relative orientation angles and propulsion mechanisms. These theoretical predictions contribute to a better understanding of active transport in fluids with odd viscosity and have potential applications in microrheology of odd-viscous fluids.
NEW JOURNAL OF PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Jinpeng Su, Weiping He, Kun Zhang, Qiang Zhang, Yegao Qu
Summary: This paper proposes a novel energy approach for fully coupled fluid-structure problems of functionally graded porous fluid-filled cylindrical shells under arbitrary boundary conditions. The approach successfully introduces fluid-structure interactions and demonstrates good convergence, high accuracy, superior efficiency, and flexibility. The results show the method's applicability in various situations and its advantages over other methods in terms of accuracy and efficiency.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Mathematics, Applied
N. S. Abdelrahman, M. S. Abou-Dina, A. F. Ghaleb
Summary: A simple semi-analytical approach using Fourier-type finite expansions and boundary collocation is proposed to solve an inverse problem for fully nonlinear two-dimensional fluid flow. The coefficients for the streamfunction series representation are determined from a linear system of algebraic equations. Results are plotted for four cases belonging to two main classes of flow.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2021)
Article
Mathematics, Applied
Alex Doak, Guido Baardink, Paul A. Milewski, Anton Souslov
Summary: The breaking of detailed balance in fluids due to Coriolis forces or odd-viscous stresses has significant effects on the dynamics of surface waves. This study examines weakly and strongly nonlinear waves in a three-dimensional fluid with vertical odd viscosity, with or without the Coriolis effect. It is found that odd viscosity induces unexplored nonlinear effects in shallow-water waves, caused by stresses on the surface and stress gradients in the bulk. The results have implications for the collective dynamics of many-vortex systems in oceanic and atmospheric geophysics.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2023)
Article
Mathematics, Applied
Lili Du, Jinli Huang
Summary: This paper discusses the uniqueness of two-phase fluids and proves the monotonicity of the two free boundaries of incompressible two-phase fluids under the assumption of converging nozzles.
Article
Computer Science, Software Engineering
Shusen Liu, Xiaowei He, Wencheng Wang, Enhua Wu
Summary: This study introduces the semi-implicit method for pressure linked equations (SIMPLE) into SPH for simulating viscous incompressible fluids. By linking the incompressibility and viscosity solvers, this method effectively solves the interference between pressure and shear forces, leading to realistic viscous behaviors and preservation of surface details.
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
(2022)
Article
Engineering, Multidisciplinary
Fan Zhang, Tiegang Liu, Moubin Liu
Summary: This paper presents a third-order reconstructed discontinuous Galerkin (DG) method based on a weighted variational minimization principle for solving incompressible flow problems on unstructured grids. The method achieves optimal third-order accuracy at reduced computational costs and outperforms reconstructed DG methods based on least-squares or Green-Gauss reconstruction for simulating incompressible flows.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Nuclear Science & Technology
Byoung Jae Kim, Seung Wook Lee, Kyung Doo Kim
Summary: The two-fluid model is widely used to describe two-phase flows in complex systems. However, the standard model suffers from ill-posedness. This study improves the artificial viscosity model of the one-dimensional two-fluid model, conserving total mass and effectively remedying the ill-posedness.
NUCLEAR ENGINEERING AND TECHNOLOGY
(2022)
Article
Mechanics
A. Ricoeur, M. Wingen
Summary: Weak formulations of boundary value problems are derived using the method of weighted residuals or variational principles. Variational approaches are not straightforward for electrodynamical and caloric problems. This paper presents an energy-based approach for combined electrodynamic-thermomechanical problems.
Article
Mechanics
Leroy L. Jia, William T. M. Irvine, Michael J. Shelley
Summary: This study investigates the dynamics of a two-dimensional chiral fluid moving on the surface of a three-dimensional Stokesian fluid, describing it as a general linear, incompressible, and isotropic fluid. The interaction between the droplet's internal mechanics and the underlying flow phase is explored through a singular integral-differential equation formulation.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Physics, Fluids & Plasmas
Yuto Hosaka, Shigeyuki Komura, David Andelman
Summary: We discuss the linear hydrodynamic response of a two-dimensional active chiral compressible fluid with odd viscosity, resulting in the odd viscosity-dependent mobility tensor. Furthermore, we demonstrate that a finite-size disk moving laterally in the 2D fluid experiences a nondissipative lift force in addition to the dissipative drag force.
Article
Physics, Multidisciplinary
A. G. Abanov, P. B. Wiegmann
Summary: We study the flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential. By analyzing the deformation of the Euler equation and various currents caused by the two external fields, we demonstrate that the divergence of the vector and axial currents is controlled by the chiral anomaly known in quantum field theories with Dirac fermions. These results are obtained by extending the variational principle for barotropic flows of a perfect fluid by coupling with the external axial-vector potential.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Engineering, Multidisciplinary
Keiji Onishi, Makoto Tsubokura
Summary: The method proposed in this study combines the topology-free method and the immersed boundary method, which is suitable for viscous and incompressible flows at high Reynolds numbers, particularly for handling dirty and highly complex geometries. By utilizing ghost-cell technique and distributed forcing technique for boundary conditions imposition, along with an axis-projected interpolation scheme to avoid searching failures, the method achieves a topology-free immersed boundary, making it ideal for flow simulations of intricate geometries.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
