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We consider a two-dimensional, two-layer, incompressible, steady flow, with vorticity which is constant in each layer, in an infinite channel with rigid walls. The velocity is continuous across the interface, there is no surface tension or…

Analysis of PDEs · Mathematics 2023-10-18 Karsten Matthies , Jonathan Sewell , Miles H. Wheeler

In the present note, we solved numerically the viscous vorticity equation of the initial-boundary value problem describing the classic Helmholtz phenomena of vortex interaction. In the leapfrogging of vortex pairs, we demonstrate the fact…

Fluid Dynamics · Physics 2018-07-24 F. Lam

We develop and implement a novel lattice Boltzmann scheme to study multicomponent flows on curved surfaces, coupling the continuity and Navier-Stokes equations with the Cahn-Hilliard equation to track the evolution of the binary fluid…

Computational Physics · Physics 2019-12-25 Victor E. Ambruş , Sergiu Busuioc , Alexander J. Wagner , Fabien Paillusson , Halim Kusumaatmaja

Superfluidity is a special state of matter exhibiting macroscopic quantum phenomena and acting like a fluid with zero viscosity. In such a state, superfluid vortices exist as phase singularities of the model equation with unique…

Fluid Dynamics · Physics 2017-10-10 Yulong Guo , Xiaopei Liu , Chi Xiong , Xuemiao Xu , Chi-Wing Fu

Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious. In this paper we present two different models to…

Numerical Analysis · Mathematics 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

A novel approach to identify internal interfacial layers, or IILs, in wall-bounded turbulent flows is proposed. Using a Fuzzy Cluster Method (FCM) on the streamwise velocity component, a unique and unambiguous grouping of the Uniform…

Fluid Dynamics · Physics 2019-06-11 Fan Duosi , Jing-Lei Xu , Matthew X. Yao , Jean-Pierre Hickey

We explore the application of the reference map technique, originally developed for the Eulerian simulation of solid mechanics, in Lagrangian kinematics of fluid flows. Unlike traditional methods based on explicit particle tracking, the…

Fluid Dynamics · Physics 2024-12-04 Imran Hayat , Ryan T. Black , George Ilhwan Park

In this work, we propose a framework whereby flow imaging data is leveraged to extract relevant information from flowfield visualizations. To this end, a vision transformer (ViT) model is developed to predict the unsteady pressure…

Fluid Dynamics · Physics 2023-05-10 Renato F. Miotto , William R. Wolf

Separated flows past complex geometries are modelled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new technique is described to determine the streamfunctions for linear shear profiles. The…

chao-dyn · Physics 2007-05-23 P. Franzese , L. Zannetti

In this work, we use a moving Voronoi and sharp interface approach for simulating two-phase flows. At every time step, the mesh is generated anew from Voronoi seeds that behave as material points. The paper is a continuation of our previous…

Numerical Analysis · Mathematics 2025-03-18 Ondřej Kincl , Ilya Peshkov , Walter Boscheri

In many interfacial flow systems, variations of surface properties lead to novel and interesting behaviors. In this work a three-dimensional model of flow dynamics for multicomponent vesicles is presented. The surface composition is modeled…

Soft Condensed Matter · Physics 2017-12-07 Prerna Gera , David Salac

We compare three different methodologies for simulation of turbulent flow past a vertical axis wind turbine: (i) full resolution of the turbine blades in a Direct Finite Element Simulation (DFS), (ii) implicit representation of the turbine…

Computational Engineering, Finance, and Science · Computer Science 2019-09-05 Van-Dang Nguyen , Johan Jansson , Anders Goude , Johan Hoffman

The linear transport equation allows to advect level-set functions to represent moving sharp interfaces in multiphase flows as zero level-sets. A recent development in computational fluid dynamics is to modify the linear transport equation…

Analysis of PDEs · Mathematics 2024-12-24 Dieter Bothe , Mathis Fricke , Kohei Soga

Traditional approaches to the study of the dynamics of spacetime curvature in a very real sense hide the intricacies of the nonlinear regime. Whether it be huge formulae, or mountains of numerical data, standard methods of presentation make…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kayll Lake

We employ the horizontal visibility algorithm to map the velocity and acceleration time series in turbulent flows with different Reynolds numbers, onto complex networks. The universal nature of velocity fluctuations in high Reynolds…

Fluid Dynamics · Physics 2019-08-01 Pouya Manshour , M. Reza Rahimi Tabar , Joachim Peinke

Recently, a nonconforming surface finite element was developed to discretize 3d vector-valued compressible flow problems arising in climate modeling. In this contribution we derive an error analysis for this approach on a vector-valued…

Numerical Analysis · Mathematics 2025-11-14 Carolin Mehlmann

Stable and accurate finite element methods are presented for Darcy flow in heterogeneous porous media with an interface of discontinuity of the hydraulic conductivity tensor. Accurate velocity fields are computed through global or local…

Numerical Analysis · Mathematics 2025-05-26 Maicon R. Correa , Abimael F. D. Loula

A statistical field theory for an inhomogeneous liquid, a planar liquid/vapor interface, is devised from first principles. The grand canonical partition function is represented via a Hubbard-Stratonovitch tranformation leading, close to the…

Statistical Mechanics · Physics 2012-07-02 V. Russier , Jean-Michel Caillol

Flow image super-resolution (FISR) aims at recovering high-resolution turbulent velocity fields from low-resolution flow images. Existing FISR methods mainly process the flow images in natural image patterns, while the critical and distinct…

Image and Video Processing · Electrical Eng. & Systems 2024-01-30 Qinglong Cao , Zhengqin Xu , Chao Ma , Xiaokang Yang , Yuntian Chen

We consider possible generation of singularities of a vector field transported by diffeomorphisms with derivatives of uniformly bounded determinants. A particular case of volume preserving diffeomrphism is the most important, since it has…

Analysis of PDEs · Mathematics 2007-06-05 Dongho Chae
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