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In this paper we introduce a finite element method for the Stokes equations with a massless immersed membrane. This membrane applies normal and tangential forces affecting the velocity and pressure of the fluid. Additionally, the points…

数值分析 · 数学 2019-05-01 Kyle Dunn , Roger Lui , Marcus Sarkis

Surfactants play an important role in various physiological and biomechanical applications. An example is the respiratory system, where pulmonary surfactants facilitate the breathing and reduce the possibility of airway blocking by lowering…

软凝聚态物质 · 物理学 2019-02-19 Farshad Roohbakhshan , Roger A. Sauer

A method to treat frictional contact problems along embedded surfaces in the finite element framework is developed. Arbitrarily shaped embedded surfaces, cutting through finite element meshes, are handled by the X-FEM. The frictional…

计算工程、金融与科学 · 计算机科学 2019-02-12 Basava Raju Akula , Julien Vignollet , Vladislav A. Yastrebov

One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contribution, two strategies to…

材料科学 · 物理学 2009-08-12 P. Gruber , J. Zeman , J. Kruis , M. Sejnoha

This paper presents a new isogeometric mortar contact formulation based on an extended finite element interpolation to capture physical pressure discontinuities at the contact boundary. The so called two-half-pass algorithm is employed,…

计算工程、金融与科学 · 计算机科学 2018-07-13 Thang Xuan Duong , Laura De Lorenzis , Roger A. Sauer

This article presents and analyzes a $p^{th}$-degree immersed finite element (IFE) method for elliptic interface problems with nonhomogeneous jump conditions. In this method, jump conditions are approximated optimally by basic IFE and…

数值分析 · 数学 2020-04-29 Slimane Adjerid , Ivo Babuska , Ruchi Guo , Tao Lin

The lattice Boltzmann method has become a standard technique for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular…

流体动力学 · 物理学 2018-01-24 Rastin Matin , Marek Krzysztof Misztal , Anier Hernandez-Garcia , Joachim Mathiesen

Cable subsystems characterized by long, slender, and flexible structural elements are featured in numerous engineering systems. In each of them, interaction between an individual cable and the surrounding fluid is inevitable. Such a…

计算工程、金融与科学 · 计算机科学 2019-11-11 Daniel Z. Huang , Philip Avery , Charbel Farhat

In this paper we study a moving free boundary problem related to the the cavitation modeling in lubricated devices. More precisely, a characteristics method combined with a weak formulation in a mixed form is introduced for the Elrod-Adams…

数值分析 · 数学 2017-06-20 Moulay Hicham Tber

The hyperelastic materials would contribute to the intricacies of rough surface contact, primarily due to the heightened nonlinearity caused by stress concentration. In our previous research, an incremental contact model tailored for…

软凝聚态物质 · 物理学 2024-03-22 Chunyun Jiang , Yanbin Zheng

The third medium contact has been proven to be an effective approach for simulating contact problems involving large deformations. Unlike traditional contact algorithms, the third medium contact introduces a third medium between two…

数值分析 · 数学 2025-09-05 Bing-Bing Xu , Peter Wriggers

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

流体动力学 · 物理学 2025-09-03 Yizhong Chen , Zhibin Wang

This paper is concerned with the partitioned iterative formulation to simulate the fluid-structure interaction of a nonlinear multibody system in an incompressible turbulent flow. The proposed formulation relies on a three-dimensional (3D)…

流体动力学 · 物理学 2019-03-05 P S Gurugubelli , R Ghoshal , V Joshi , R K Jaiman

The damping of built-up structures stems largely from the microscopic dry frictional interactions in the contact interfaces. The accurate prediction of friction damping has been an important scientific aim of the past several decades.…

系统与控制 · 电气工程与系统科学 2025-07-17 Hendrik D. Linder , Johann Gross , Malte Krack

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform…

数值分析 · 数学 2018-04-04 Robert N. Simpson , Zhaowei Liu , Ráfael Vazquez , John A. Evans

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

软凝聚态物质 · 物理学 2020-10-21 Wenwei Liu , Chuan-Yu Wu

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

最优化与控制 · 数学 2017-01-24 Matthew Lawry , Kurt Maute

The direct-forcing immersed boundary method (DF-IBM) algorithm previously developed by the authors is extended by coupling the Navier-Stokes equations with the Newton-Euler equations for rigid body dynamics within the DF-IBM framework. This…

流体动力学 · 物理学 2026-04-28 E. Farah , A. Ouahsine , P. G. Verdin , B. Kaoui

A finite element program is presented to simulate the process of packing and coiling elastic wires in two- and three-dimensional confining cavities. The wire is represented by third order beam elements and embedded into a corotational…

软凝聚态物质 · 物理学 2020-07-20 Roman Vetter , Falk K. Wittel , Norbert Stoop , Hans J. Herrmann

We propose a novel three-way coupling method to model the contact interaction between solid and fluid driven by strong surface tension. At the heart of our physical model is a thin liquid membrane that simultaneously couples to both the…

流体动力学 · 物理学 2021-05-19 Liangwang Ruan , Jinyuan Liu , Bo Zhu , Shinjiro Sueda , Bin Wang , Baoquan Chen