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A new model for the numerical simulation of a rigid body moving in a viscous fluid flow using FEM is presented. One of the most interesting features of this approach is the small computational effort required to solve the motion of the…

Fluid Dynamics · Physics 2020-12-17 M. I. Herreros , S. Ligüérzana

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

We study time-dependent density segregation of granular mixtures flowing over an inclined plane. Discrete Element Method (DEM) simulations in a periodic box are performed for granular mixtures of same size and different density particles…

Soft Condensed Matter · Physics 2025-04-16 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

This paper presents a unified and computationally efficient framework for predicting incompressible, irrotational (potential) flow around multiple immersed bodies in two-dimensional domains, with particular emphasis on quantifying…

Fluid Dynamics · Physics 2025-12-16 Anil Lal S , Mannu Yadav

In this report, we propose a divergence-free preserving mixed finite element method (FEM) for the system of nonlinear fourth-order thermally driven active fluid equations. By introducing two auxiliary variables, we lower the complexity of…

Numerical Analysis · Mathematics 2025-09-24 Nan Zheng , Qingguang Guan , Wenlong Pei , Wenju Zhao

Discrete Element Methods (DEM) are a useful tool to model the fracture of cohesive granular materials. For this kind of application, simple particle shapes (discs in 2D, spheres in 3D) are usually employed. However, dealing with more…

Soft Condensed Matter · Physics 2016-07-07 A Neveu , R Artoni , P Richard , Y Descantes

A fluid-structure interaction technique for the simulation of inflatable structures is introduced. The presented finite-element/boundary-element (FEBE) technique couples an isogeometric finite element discretization of a flexible shell…

Numerical Analysis · Mathematics 2015-06-16 T. M. van Opstal

The numerical simulation of physical processes in the underground frequently entails challenges related to the geometry and/or data. The former are mainly due to the shape of sedimentary layers and the presence of fractures and faults,…

Numerical Analysis · Mathematics 2020-02-28 Alessio Fumagalli , Anna Scotti , Luca Formaggia

A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

Computational Physics · Physics 2013-12-03 Jun Li , Donald Brown

This paper investigates numerically the hydraulic conveying of solids through a 90$^{\circ}$ elbow that changes the flow direction from horizontal to vertical, in the very-narrow case where the ratio of pipe to particle diameters is less…

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

The experimental realization of dynamo excitation as well as theoretical and numerical examinations of the induction equation have shown the relevance of boundary conditions for a self-sustaining dynamo. Within the interior of a field…

Fluid Dynamics · Physics 2012-08-08 Andre Giesecke , Frank Stefani , Gunter Gerbeth

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

Fluid Dynamics · Physics 2023-11-14 Taofik H. Nassan , Mohd Amro

Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformations and contact mechanics, such as heart valve dynamics.…

Quantitative Methods · Quantitative Biology 2026-02-13 Ryan T. Black , Steve A. Maas , Wensi Wu , Jalaj Maheshwari , Tzanio Kolev , Jeffrey A. Weiss , Matthew A. Jolley

A flexible fiber model based on the discrete element method (DEM) is presented and validated for the simulation of uniaxial compression of flexible fibers in a cylindrical container. It is found that the contact force models in the DEM…

Soft Condensed Matter · Physics 2023-01-18 Yu Guo , Yanjie Li , Qingzhao Liu , Zhenhua Li , Hanhui Jin , Carl Wassgren , Jennifer S. Curtis

We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the…

Numerical Analysis · Mathematics 2023-01-30 Michel Duprez , Vanessa Lleras , Alexei Lozinski

Magnetorheological fluids (MRFs) are smart materials consisting of micro-scale magnetizable particles suspended in a carrier fluid. The rheological properties of a MRF can be changed from a fluid-state to a solid-state upon the application…

Fluid Dynamics · Physics 2023-02-09 C. Fernandes , Salah A. Faroughi

Understanding the physics of phase-separation between solid and fluid phases as a mixture mass moves down slope is a long-standing challenge. Here, we propose an extension of the two phase mass flow model (Pudasaini, 2012) by including a…

Geophysics · Physics 2022-06-17 Shiva P. Pudasaini , Jan-Thomas Fischer

The Lattice Boltzmann Method (LBM), e.g. in [ 1] and [2 ], can be interpreted as an alternative method for the numerical solution of partial differential equations. Consequently, although the LBM is usually applied to solve fluid flows, the…

Numerical Analysis · Mathematics 2023-01-03 Alexander Schlüter , Henning Müller , Sikang Yan , Erik Faust , Ralf Müller