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For capillary driven flow the interface curvature is essential in the modelling of surface tension via the imposition of the Young--Laplace jump condition. We show that traditional geometric volume of fluid (VOF) methods, that are based on…

数值分析 · 数学 2022-08-31 Ronald A. Remmerswaal , Arthur E. P. Veldman

For the arbitrary-Lagrangian-Eulerian (ALE) calculations, the geometric information needs to be calculated at each time step due to the movement of mesh. To achieve the high-order spatial accuracy, a large number of matrix inversions are…

计算物理 · 物理学 2025-08-18 Yibo Wang , Xing Ji , Liang Pan

Lagrangian averaging plays an important role in the analysis of wave--mean-flow interactions and other multiscale fluid phenomena. The numerical computation of Lagrangian means, e.g. from simulation data, is however challenging. Typical…

流体动力学 · 物理学 2023-04-26 Hossein A. Kafiabad , Jacques Vanneste

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

Fluid-solid interaction (FSI) problems are fundamental in many scientific and engineering applications, yet effectively capturing the highly nonlinear two-way interactions remains a significant challenge. Most existing deep learning methods…

机器学习 · 计算机科学 2026-03-03 Shilong Tao , Zhe Feng , Shaohan Chen , Weichen Zhang , Zhanxing Zhu , Yunhuai Liu

A novel method for complex fluid-structure interaction (FSI) involving large structural deformation and motion is proposed. The new approach is based on a hybrid fluid formulation that combines the advantages of purely Eulerian (fixed-grid)…

计算工程、金融与科学 · 计算机科学 2018-08-02 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

Classical Computational Fluid Dynamics (CFD) of long-time processes with strongly separated time scales is computationally extremely demanding if not impossible. Consequently, the state-of-the-art description of such systems is not capable…

流体动力学 · 物理学 2016-08-08 Thomas Lichtenegger , Stefan Pirker

A computational approach is introduced for the study of the rheological properties of complex fluids and soft materials. The approach allows for a consistent treatment of microstructure elastic mechanics, hydrodynamic coupling, thermal…

软凝聚态物质 · 物理学 2023-02-28 P. J. Atzberger

In this paper we develop a conservative sharp-interface method dedicated to simulating multiple compressible fluids. Numerical treatments for a cut cell shared by more than two materials are proposed. First, we simplify the interface…

计算物理 · 物理学 2019-05-30 Shucheng Pan , Luhui Han , Xiangyu Hu , Nikolaus. A. Adams

We present a new stabilised and efficient high-order nodal spectral element method based on the Mixed Eulerian Lagrangian (MEL) method for general-purpose simulation of fully nonlinear water waves and wave-body interactions. In this MEL…

计算物理 · 物理学 2017-03-30 A. P. Engsig-Karup , C. Monteserin , C. Eskilsson

In this paper we introduce CorticalFlow, a new geometric deep-learning model that, given a 3-dimensional image, learns to deform a reference template towards a targeted object. To conserve the template mesh's topological properties, we…

计算机视觉与模式识别 · 计算机科学 2022-06-07 Léo Lebrat , Rodrigo Santa Cruz , Frédéric de Gournay , Darren Fu , Pierrick Bourgeat , Jurgen Fripp , Clinton Fookes , Olivier Salvado

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

In recent developments, it has been demonstrated that the Arbitrary Lagrangian Eulerian (ALE) formulation can be utilized to improve computational efficiency, when simulating the response of structures subjected to moving loads. It is also…

In this paper, we present a novel meshfree framework for fluid flow simulations on arbitrarily curved surfaces. First, we introduce a new meshfree Lagrangian framework to model flow on surfaces. Meshfree points or particles, which are used…

数值分析 · 数学 2021-05-05 Pratik Suchde

The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretization for the fluid equations of motion while maintaining a…

数值分析 · 数学 2012-10-09 Varun Shankar , Grady B. Wright , Aaron L. Fogelson , R. M. Kirby

This paper presents a novel intersection-based remapping method for isoparametric curvilinear meshes within the indirect arbitrary Lagrangian-Eulerian (ALE) framework, addressing the challenges of transferring physical quantities between…

数值分析 · 数学 2025-06-24 Nuo Lei , Juan Cheng , Chi-Wang Shu

We consider the relationship between Eulerian modal decompositions and Lagrangian coherent structures (LCSs). The model sensitivity framework developed by Kasz\'as and Haller (2020) is used to express data-driven modal representations of…

流体动力学 · 物理学 2025-12-24 Morgan R. Jones , Charles Klewicki , Oliver Khan , Steven L. Brunton , Mitul Luhar

We develop a new Lagrangian approach --- flow dynamic approach to effectively capture the interface in the Allen-Cahn type equations. The underlying principle of this approach is the Energetic Variational Approach (EnVarA), motivated by…

数值分析 · 数学 2020-08-26 Q. Cheng , Chun liu , J. Shen

The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

流体动力学 · 物理学 2023-06-22 Johanna Potyka , Kathrin Schulte

We present a semi-Lagrangian characteristic mapping method for the incompressible Euler equations on a rotating sphere. The numerical method uses a spatio-temporal discretization of the inverse flow map generated by the Eulerian velocity as…

数值分析 · 数学 2023-10-20 Seth Taylor , Jean-Christophe Nave