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This paper presents a mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. The framework combines two types of locally conservative discretization schemes: (1) an enriched Galerkin…

Computational Engineering, Finance, and Science · Computer Science 2023-08-30 T. Kadeethum , S. Lee , F. Ballarin , J. Choo , H. M. Nick

We studied numerically the dynamics of colliding rigid bodies in a Newtonian fluid. The finite element method is used to solve the fluid-body interaction and the fluid motion is described in the Arbitrary-Lagrangian-Eulerian framework. To…

Simulation approaches for fluid-structure-contact interaction, especially if requested to be consistent even down to the real contact scenarios, belong to the most challenging and still unsolved problems in computational mechanics. The main…

Computational Engineering, Finance, and Science · Computer Science 2018-09-12 Christoph Ager , Benedikt Schott , Anh-Tu Vuong , Alexander Popp , Wolfgang A. Wall

We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the incompressible Navier-Stokes\slash Stokes equations with the…

Computational Physics · Physics 2020-07-15 Quan Zhao , Weiqing Ren

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited…

Fluid Dynamics · Physics 2026-02-10 Ayman Mazloum , Gabriele Gennari , Fabian Denner , Berend van Wachem

We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative…

Numerical Analysis · Mathematics 2020-09-21 Benjamin Rüth , Benjamin Uekermann , Miriam Mehl , Philipp Birken , Azahar Monge , Hans-Joachim Bungartz

The capability to accurately predict flood flows via numerical simulations is a key component of contemporary flood risk management practice. However, modern flood models lack the capacity to accurately model flow interactions with linear…

Fluid Dynamics · Physics 2024-12-09 James Mckenna , Vassilis Glenis , Chris Kilsby

We developed a sharp interface level-set approach for two-phase immiscible flow with moving contact lines. The Cox-Voinov model is used to describe the moving contact line. A piecewise linear interface method is used to construct the signed…

Fluid Dynamics · Physics 2017-10-26 Moataz O. Abu-Al-Saud , Cyprien Soulaine , Amir Riaz , Hamdi A. Tchelepi

Three-phase multiphase flows are found in an extraordinarily large number of applications. Often those involve a liquid phase and a gas phase in addition to a third phase that consists of either liquid drops or solid particles, suspended in…

Fluid Dynamics · Physics 2024-12-11 Lei Zeng , Hamideh Rouhanitazangi , Xianyang Chen , Jiacai Lu , Gretar Tryggvason

Soft solids in fluids find wide range of applications in science and engineering, especially in the study of biological tissues and membranes. In this study, an Eulerian finite volume approach has been developed to simulate fully resolved…

Computational Physics · Physics 2019-09-17 Suhas S. Jain , Ken Kamrin , Ali Mani

The paper introduces a fully discrete quasi-Lagrangian finite element method for a monolithic formulation of a fluid-porous structure interaction problem. The method is second order in time and allows a standard $P_2-P_1$ (Taylor--Hood)…

Numerical Analysis · Mathematics 2021-05-13 Alexander Lozovskiy , Maxim A. Olshanskii , Yuri V. Vassilevski

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We study a nonlinear, unsteady, moving boundary, fluid-structure (FSI) problem in which the structure is composed of two layers: a thin layer which is in contact with the fluid, and a thick layer which sits on top of the thin structural…

Analysis of PDEs · Mathematics 2013-05-24 Boris Muha , Suncica Canic

In this article, we analyze and numerically assess a new fictitious domain method for fluid-structure interactions in two and three dimensions. The distinguishing feature of the proposed method is that it only solves for one velocity field…

Numerical Analysis · Mathematics 2017-05-11 Yongxing Wang , Peter K. Jimack , Mark A. Walkley

Developing engineering systems that rely on flow-induced reconfiguration, the phenomenon where a structure deforms under flow to reduce its drag, requires design tools that can predict the behavior of these flexible structures. Current…

Materials Science · Physics 2024-06-11 Danick Lamoureux , Sophie Ramananarivo , David Melancon , Frédérick P. Gosselin

One of the prevailing challenges in Computational Fluid Dynamics is accurate simulation of two-phase flows involving heat and mass transfer across the fluid interface. This is currently an active field of research, which is to some extend…

Fluid Dynamics · Physics 2021-03-02 Henning Scheufler , Johan Roenby

Tackling fluid-flow problems involving intricate surface geometries has been the catalyst for a plethora of numerical investigations aimed at accommodating curved complex boundaries. An example is the application of body-fitted curvilinear…

Fluid Dynamics · Physics 2023-04-11 Suhaib Ardah , Francisco J. Profito , Tom Reddyhoff , Daniele Dini

We propose a mathematical model for fluids in multiphase flows in order to establish a solid theoretical foundation for the study of their complex topology, large geometric deformations, and topological changes such as merging. Our modeling…

Algebraic Topology · Mathematics 2019-02-19 Qinghai Zhang , Zhixuan Li

A multiscale stochastic-deterministic coupling method is proposed to investigate the complex interactions between turbulent and rarefied gas flows within a unified framework. This method intermittently integrates the general synthetic…

Computational Physics · Physics 2025-03-14 Liyan Luo , Songyan Tian , Lei Wu

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer
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