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Computational Fluid Dynamics (CFD) is the main approach to analyzing flow field. However, the convergence and accuracy depend largely on mathematical models of flow, numerical methods, and time consumption. Deep learning-based analysis of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Chang Liu

Magneto-acousto-electric tomography (MAET) combines ultrasound with a static magnetic field to infer the electrical conductivity of an object. In this paper, we present a rigorous quasi-static mathematical model for MAET with magnetic field…

Analysis of PDEs · Mathematics 2026-03-03 Lingyun Qiu , Siqin Zheng

A class of two-dimensional topological conformal field theories (TCFTs) is studied within the framework of gauged WZW models in order to gain some insights on the global geometrical nature of TCFTs. The BRST quantizations of topological G/H…

High Energy Physics - Theory · Physics 2009-10-22 Toshio Nakatsu , Yuji Sugawara

Azimuthal magnetorotational instability is a mechanism that generates nonaxisymmetric field pattern. Nonlinear simulations in an infinite Taylor-Couette system with current-free external field show, that not only the linearly unstable mode…

Astrophysics · Physics 2009-11-13 M. Gellert , G. Ruediger , A. Fournier

We compute the Mellin transforms of various two-dimensional integrable $S$-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in…

High Energy Physics - Theory · Physics 2023-03-22 Daniel Kapec , Adam Tropper

In two-dimensional conformal field theories (CFT) in Minkowski spacetime, we study the spacetime distance between two events along two distinct modular trajectories. When the spatial line is bipartite by a single interval, we consider both…

High Energy Physics - Theory · Physics 2025-01-22 Dobrica Jovanovic , Mihail Mintchev , Erik Tonni

Classical density functional theory (DFT) is the primary method for investigations of inhomogeneous fluids in external fields. It requires the excess Helmholtz free energy functional as input to an Euler-Lagrange equation for the one-body…

Soft Condensed Matter · Physics 2026-02-05 S. M. Tschopp , H. Vahid , J. M. Brader

Two finite volume methods are derived and applied to the solution of problems of incompressible flow. In particular, external inviscid flows and boundary-layer flows are examined. The firstmethod analyzed is a cell-centered finite volume…

Numerical Analysis · Mathematics 2025-10-20 Darryl Whitlow

In order to explore the magnetostrophic regime expected for planetary cores, experiments have been conducted in a rotating sphere filled with liquid sodium, with an imposed dipolar magnetic field (the DTS setup). The field is produced by a…

We consider line defects in d-dimensional Conformal Field Theories (CFTs). The ambient CFT places nontrivial constraints on Renormalization Group (RG) flows on such line defects. We show that the flow on line defects is consequently…

High Energy Physics - Theory · Physics 2022-01-12 Gabriel Cuomo , Zohar Komargodski , Avia Raviv-Moshe

We propose a hybrid continuum surface force (CSF) formulation to model the interface interaction within the three-phase volume of fluid (VOF) method. Instead of employing the height function globally, we compute the curvature based on a…

Fluid Dynamics · Physics 2023-10-24 Chunheng Zhao , Jacob Maarek , Seyed Mohammadamin Taleghani , Stephane Zaleski

Recently, meshless methods have become popular in numerically solving partial differential equations and have been employed to solve equations governing fluid flows, heat transfer, and species transport. In the present study, a numerical…

Fluid Dynamics · Physics 2024-04-18 Akash Unnikrishnan , Vinod Narayanan , Surya Pratap Vanka

The reconstruction of physically valid transport fields from subject-specific imaging data is a fundamental challenge in image-based computational modeling due to measurement noise, modeling uncertainties and discretization errors. Without…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 A. Derya Bakiler , Michael J. Johnson , Michael R. A. Abdelmalik , Frimpong A. Baidoo , Andrew Badachhape , Ananth V. Annapragada , Thomas J. R. Hughes , Shaolie S. Hossain

This paper proposes a novel approach to reconstruct changes in a target conductivity from electrical impedance tomography measurements. As in the conventional difference imaging, the reconstruction of the conductivity change is based on…

Computational Physics · Physics 2014-03-27 Dong Liu , Ville Kolehmainen , Samuli Siltanen , Anne maria Laukkanen , Aku Seppanen

In this paper, we present a novel approach that can exactly recover extended targets in wave-based multistatic interferometric imaging, based on Generalized Wirtinger Flow (GWF) theory [1]. Interferometric imaging is a generalization of…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Bariscan Yonel , Il-Young Son , Birsen Yazici

We study bimetric gravity through the context of the AdS/CFT correspondence, especially, in the first order hdrodynamic limit. If we put pure general relativity as a bulk field, the boundary field theory is interpreted as fluid of the N = 4…

High Energy Physics - Theory · Physics 2014-07-07 Kouichi Nomura

Taylor--Couette flow in the presence of a magnetic field is a problem belonging to classical hydromagnetics and deserves to be more widely studied than it has been to date. In the nonlinear regime the literature is scarce. We develop a…

Astrophysics · Physics 2009-11-07 Ashley P. Willis , Carlo F. Barenghi

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

We investigate through high resolution 3D simulations the nonlinear evolution of compressible magnetohydrodynamic flows subject to the Kelvin-Helmholtz instability. We confirm in 3D flows the conclusion from our 2D work that even apparently…

Astrophysics · Physics 2009-10-31 Dongsu Ryu , T. W. Jones , Adam Frank

We propose Coreset-Induced Conditional Velocity Flow Matching (CCVFM), a generative model that augments hierarchical rectified flow with a data-informed source distribution. Hierarchical flow matching models the full conditional velocity…

Machine Learning · Statistics 2026-05-14 Xiao Wang , Zihua She , Jianxi Su
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