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In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the…

Analysis of PDEs · Mathematics 2013-04-04 Roberto Garra , Federico Polito

Non-Newtonian fluids encompass a large family of fluids with additional nonlinear material properties, contributing to non-trivial flow behaviour that cannot be captured through a single constant viscosity term. Common non-Newtonian…

Fluid Dynamics · Physics 2026-01-14 Vedad Dzanic , Qiuxiang Huang , Christopher S. From , Emilie Sauret

When simulating three-dimensional flows interacting with deformable and elastic obstacles, current methods often encounter complexities in the governing equations and challenges in numerical implementation. In this work, we introduce a…

Fluid Dynamics · Physics 2026-01-09 Andreu F. Gallen , Joan Muñoz Biosca , Mario Castro , Aurora Hernández-Machado

The accurate and stable simulation of viscoelastic flows remains a significant computational challenge, exacerbated for flows in non-trivial and practical geometries. Here we present a new high-order meshless approach with variable…

Fluid Dynamics · Physics 2024-05-01 Jack R. C. King , Steven J. Lind

This paper presents a model for the simulation of liquid-gas-solid flows by means of the lattice Boltzmann method. The approach is built upon previous works for the simulation of liquid-solid particle suspensions on the one hand, and on a…

Computational Engineering, Finance, and Science · Computer Science 2014-01-08 Simon Bogner , Ulrich Rüde

Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. In this work, we develop a fluctuating lattice Boltzmann…

Fluid Dynamics · Physics 2026-02-19 Alessandro De Rosis , Yang Zhou

The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed,…

Applied Physics · Physics 2021-03-15 I. I. Tagiltsev , P. P. Laktionov , A. V. Shutov

A numerical study of yield-stress fluids flowing in porous media is presented. The porous media is randomly constructed by non-overlapping mono-dispersed circular obstacles. Two class of rheological models are investigated:…

Fluid Dynamics · Physics 2024-05-30 Saeed Parvar , Emad Chaparian , Outi Tammisola

In this work, we employ a kinetic theory based approach to predict the hydrodynamic forces on electromechanical resonators operating in gaseous media. Using the Boltzmann-BGK equation, we investigate the influence of the resonator geometry…

Fluid Dynamics · Physics 2015-05-13 Carlos Colosqui , Devrez M. Karabacak , Kamil L. Ekinci , Victor Yakhot

We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model.…

Analysis of PDEs · Mathematics 2026-03-04 Qianfeng Li , Emil Wiedemann

Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches…

Graphics · Computer Science 2018-07-09 Wei Li , Kai Bai , Xiaopei Liu

Macroscopic observables of a system are of keen interest in real applications such as the design of novel materials. Current methods rely on microscopic trajectory simulations, where the forces on all microscopic coordinates need to be…

Machine Learning · Computer Science 2024-11-04 Mengyi Chen , Qianxiao Li

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

This study proposes the topology optimization method for moving rigid bodies subjected to forces from fluid flow, such as sails and turbines, with an unsteady time-dependent formulation. Unlike existing topology optimization frameworks in…

Fluid Dynamics · Physics 2026-01-27 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

A stiff one-armed swimmer in glycerine goes nowhere, but if its arm is elastic, exerting a restorative torque proportional to local curvature, the swimmer can go on its way. Considering this happy consequence and the principles of…

Soft Condensed Matter · Physics 2009-10-30 Chris H. Wiggins , Raymond E. Goldstein

The system design and algorithm development of mobile 3D printing robots need a realistic simulation. They require a mobile robot simulation platform to interoperate with a physics-based material simulation for handling interactions between…

Robotics · Computer Science 2021-10-12 Uljad Berdica , Yuewei Fu , Yuchen Liu , Emmanouil Angelidis , Chen Feng

Embryonic tissues deform across broad spatial and temporal scales and relax stress through active rearrangements. A quantitative link between cell-scale activity, spatial forcing, and emergent tissue-scale mechanics remains incomplete.…

Biological Physics · Physics 2025-12-18 Sahil Islam , Mohd. Suhail Rizvi , Anupam Gupta

To simulate elastic turbulence, where viscoelasticity dominates, numerical solvers introduce an artificial stress diffusivity term to handle the steep polymer stress gradients that ensue. This has recently been shown [Gupta & Vincenzi, J.…

Fluid Dynamics · Physics 2022-07-13 Vedad Dzanic , Christopher S. From , Emilie Sauret

One of the limitations of the Lattice Boltzmann Method in simulating inertial flows is the coupling of the discretization of space to the velocity discretization. It requires an increase of the size of computational lattices in order to…

Fluid Dynamics · Physics 2024-09-25 Dawid Strzelczyk , Maciej Matyka

In the mechanics of inviscid conservative fluids, it is classical to generate the equations of dynamics by formulating with adequate variables, that the pressure integral calculated in the time-space domain corresponding to the motion of…

Classical Physics · Physics 2008-07-23 Henri Gouin , Jean-François Debieve
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