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We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

Fluid Dynamics · Physics 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

We report on a numerical study of the shear flow of a simple two-dimensional model of a granular material under controlled normal stress between two parallel smooth, frictional walls, moving with opposite velocities $\pm$V . Discrete…

Soft Condensed Matter · Physics 2012-10-15 Zahra Shojaaee , Jean-Noël Roux , François Chevoir , Wolf Dietrich

The immersed boundary method (IBM) of Peskin (J. Comput. Phys., 1977), and derived forms such as the projection method of Taira and Colonius (J. Comput. Phys., 2007), have been useful for simulating flow physics in problems with moving…

Fluid Dynamics · Physics 2021-10-01 Jeff D. Eldredge

Individual constituent balance equations are often used to derive expressions for species-specific segregation velocities in flows of dense granular mixtures. We propose a semiempirical expression for the interspecies momentum exchange in…

Soft Condensed Matter · Physics 2020-11-19 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We present a new hydrodynamic model for incompressible binary fluids that is thermodynamically consistent and non-isothermal. This model follows the generalized Onsager principle and Boussinesq approximation and preserves the volume of each…

Fluid Dynamics · Physics 2023-08-14 Shouwen Sun , Liangliang Lei , Qi Wang

Sheared granular layers undergoing stick slip behavior are broadly employed to study the physics and dynamics of earthquakes. Here, a two dimensional implementation of the combined finite discrete element method (FDEM), which merges the…

The shear rate dependence of the slip length in thin polymer films confined between atomically flat surfaces is investigated by molecular dynamics simulations. The polymer melt is described by the bead-spring model of linear flexible…

Soft Condensed Matter · Physics 2009-09-24 Nikolai V. Priezjev

In this article we address the three-dimensional modeling and simulation of biological ion channels using a continuum-based approach. Our multi-physics formulation self-consistently combines, to the best of our knowledge for the first time,…

Numerical Analysis · Mathematics 2015-09-25 Riccardo Sacco , Paolo Airoldi , Aurelio G. Mauri , Joseph W. Jerome

This work extends the input-output approach to the study of wall-bounded shear flows manipulated using actuators common in experimental flow control studies. In particular, we adapt this powerful analytical framework to investigate the flow…

Fluid Dynamics · Physics 2021-05-12 Igal Gluzman , Dennice F. Gayme

In the class of immersed boundary (IB) methods, the choice of the delta function plays a crucial role in transferring information between fluid and solid domains. Most prior work has used isotropic kernels that do not preserve the…

Numerical Analysis · Mathematics 2024-12-23 Lianxia Li , Cole Gruninger , Jae H. Lee , Boyce E. Griffith

We propose a novel cut finite element method for the numerical solution of the Biot system of poroelasticity. The Biot system couples elastic deformation of a porous solid with viscous fluid flow and commonly arises on domains with complex…

Numerical Analysis · Mathematics 2026-02-10 Nanna Berre , Kent-Andre Mardal , André Massing , Ivan Yotov

In a recent letter (Denkov et al., Phys. Rev. Lett., vol. 100 (2008) p. 138301) we calculated theoretically the macroscopic viscous stress of steadily sheared foam/emulsion from the energy dissipated inside the transient planar films,…

Soft Condensed Matter · Physics 2009-11-13 S. Tcholakova , N. D. Denkov , K. Golemanov , K. P. Ananthapadmanabhan , A. Lips

The immersed boundary (IB) method is a widely used approach to simulating fluid-structure interaction (FSI). Although explicit versions of the IB method can suffer from severe time step size restrictions, these methods remain popular…

Numerical Analysis · Mathematics 2016-12-08 Amneet Pal Singh Bhalla , Matthew G. Knepley , Mark F. Adams , Robert D. Guy , Boyce E. Griffith

We present a framework for Large Eddy Simulations (LES) with Immersed Boundaries (IBs) to simulate high Reynolds number flows over complex walls. In this approach, which we call Immersed Boundary-Modeled LES (IBMLES), we volume-filter the…

Fluid Dynamics · Physics 2025-11-03 Morrison Rickard , M. Houssem Kasbaoui

Biodegradable elastic scaffolds have attracted more and more attention in the field of soft tissue repair and tissue engineering. These scaffolds made of porous bioelastomers support tissue ingrowth along with their own degradation. It is…

Image and Video Processing · Electrical Eng. & Systems 2022-02-01 Dun Wang , Kaixuan Guo , Yanying Zhu , Jia Sun , Aliona Dreglea , Jiao Yu

A variety of numerical methods exist for the study of deformable particles in dense suspensions. None of the standard tools, however, currently include volume-changing objects such as oscillating microbubbles in three-dimensional periodic…

Biological Physics · Physics 2017-08-14 Achim Guckenberger , Stephan Gekle

In so-called Lagrangian melting problems, a solid immersed in a fluid medium is free to rotate and translate in tandem with its phase-change from solid to liquid. Such configurations may be classified as a fluid-solid interaction (FSI)…

Fluid Dynamics · Physics 2025-01-16 Kevin Zhong , Christopher J. Howland , Detlef Lohse , Roberto Verzicco

The immersed peridynamics (IPD) method is a fluid-structure interaction (FSI) model to simulate fluid-driven material damage and failure of an immersed structure, in which a peridynamic (PD) constitutive correspondence model is employed…

Numerical Analysis · Mathematics 2026-03-18 Keon Ho Kim , Boyce E. Griffith

In this work, based on the moving-least-squares immersed boundary method, we proposed a new technique to improve the calculation of the volume force representing the body boundary. For boundary with simple geometry, we theoretically analyse…

Numerical Analysis · Mathematics 2021-10-27 Wenyuan Chen , Shufan Zou , Qingdong Cai , Yantao Yang

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

Soft Condensed Matter · Physics 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi