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A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A distinct feature of the method is a predictor-corrector strategy to define the grid…

数值分析 · 数学 2021-01-18 Dongmi Luo , Shiyi Li , Weizhang Huang , Jianxian Qiu , Yibing Chen

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform a reference configuration. To address this issue, we…

数值分析 · 数学 2026-05-01 Jingya Li , Ye Ji , Hugo Verhelst , Henk den Besten , Matthias Möller

The standard approach to densely reconstruct the motion in a volume of fluid is to inject high-contrast tracer particles and record their motion with multiple high-speed cameras. Almost all existing work processes the acquired multi-view…

计算机视觉与模式识别 · 计算机科学 2019-11-25 Katrin Lasinger , Christoph Vogel , Thomas Pock , Konrad Schindler

This paper introduces a sharp-interface approach to simulating fluid-structure interaction involving flexible bodies described by general nonlinear material models and across a broad range of mass density ratios. This new flexible-body…

This paper presents a quasi-monolithic localized high-order arbitrary Lagrangian-Eulerian (qMLH-ALE) finite element method for multi-scale fluid-structure interaction (FSI) in microfluidic systems. The fluid momentum, the incompressible…

数值分析 · 数学 2026-05-26 Lingyue Shen , Qi Xin , Yan Chen , Jiarui Han , Yumiao Zhang , Jinchao Xu , Shihua Gong

This paper proposes an Arbitrary Lagrangian-Eulerian incompressible finite volume scheme based on Consistent Flux Reconstruction method (ALE-CFR) on deforming two-dimensional unstructured triangular grids. The scheme is further applied to…

流体动力学 · 物理学 2019-11-11 Kartik Bali , K Supradeepan

A third-order moving mesh cell-centered scheme without the remapping of physical variables is developed for the numerical solution of one-dimensional elastic-plastic flows with the Mie-Gr\"{u}neisen equation of state, the Wilkins…

数值分析 · 数学 2017-08-29 Jun-Bo Cheng , Weizhang Huang , Song Jiang , Baolin Tian

In this work, we make two improvements on the staggered grid hydrodynamics (SGH) Lagrangian scheme for modeling 2-dimensional compressible multi-material flows on triangular mesh. The first improvement is the construction of a dynamic local…

计算物理 · 物理学 2017-07-10 Hai-bo Zhao , Bo Xiao , Jing-song Bai , Shu-chao Duan , Gang-hua Wang , Ming-xian Kan

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

流体动力学 · 物理学 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh

This study presents a high-order, space-time coupled arbitrary Lagrangian Eulerian (ALE) compact gas-kinetic scheme (GKS) for the shallow water equations on moving unstructured meshes. The proposed method preserves both the geometric…

数值分析 · 数学 2025-10-17 Fengxiang Zhao , Jianping Gan , Kun XU

The moment-of-fluid method (MOF) is known as an extension of the volume-of-fluid method with piecewise linear interface construction (VOF-PLIC). In this study, several directional splitting advection algorithms are extended from the…

数值分析 · 数学 2021-08-13 Zhoueng Ye

We propose the application of the arbitrary Lagrangian-Eulerian (ALE) technique to a compressible lattice Boltzmann model for the simulation of moving boundary problems on unstructured meshes. To that end, the kinetic equations are mapped…

计算物理 · 物理学 2020-05-20 Mohammad Hossein Saadat , Ilya V. Karlin

A hybrid Eulerian-Lagrangian method is proposed to simulate passive scalar transport on arbitrary shape interface. In this method, interface deformation is tracked by an Eulerian method while the transport of the passive scalar on the…

计算物理 · 物理学 2023-04-20 Yu Fan , Yujie Zhu , Xiaoliang Li , Xiangyu Hu , Nikolaus A. Adams

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers, the actomyosin cortex, or epithelial cell sheets. These interfaces exhibit a complex interplay between elasticity, low Reynolds number…

流体动力学 · 物理学 2019-06-12 Alejandro Torres-Sánchez , Daniel Millán , Marino Arroyo

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is…

数值分析 · 数学 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li

In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the…

数值分析 · 数学 2021-08-13 K. Ahuja , B. Endtmayer , M. C. Steinbach , T. Wick

In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We use the arbitrary Lagrangian-Eulerian (ALE) approach that…

数值分析 · 数学 2023-01-13 Sebastian Schwarzacher , Bangwei She , Karel Tuma

We present a robust and efficient method for simulating Lagrangian solid-fluid coupling based on a new operator splitting strategy. We use variational formulations to approximate fluid properties and solid-fluid interactions, and introduce…

图形学 · 计算机科学 2023-01-06 Tianyi Xie , Minchen Li , Yin Yang , Chenfanfu Jiang

We present a practical cell-centred volume-of-fluid method developed within a pure Eulerian setting for the simulation of compressible solid-fluid problems. The method builds on a previously published diffuse-interface Godunov-type scheme…

计算物理 · 物理学 2023-04-25 Timothy R. Law , Philip T. Barton

Simulations involving free surfaces and fluid interfaces are important in many areas of engineering. There is, however, still a need for improved simulation methods. Recently, a new efficient geometric VOF method called isoAdvector for…

流体动力学 · 物理学 2019-01-23 Henning Scheufler , Johan Roenby