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From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping…

Soft Condensed Matter · Physics 2009-11-07 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

In this paper, we study a nonlinear system of first order partial differential equations describing the macroscopic behavior of an ensemble of interacting self-propelled rigid bodies. Such system may be relevant for the modelling of bird…

Analysis of PDEs · Mathematics 2022-10-31 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases

Molecular dynamics (MD) simulations have been carried out to investigate the slip of fluid in the lid driven cavity flow where the no-slip boundary condition causes unphysical stress divergence. The MD results not only show the existence of…

Fluid Dynamics · Physics 2007-05-23 Tiezheng Qian , Xiao-Ping Wang

Airflow through the nasal cavity exhibits a wide variety of fluid dynamicsbehaviour due to the intricacy of the nasal geometry. The flow is naturallyunsteady and perhaps turbulent, despite CFD in the literature that assumesa steady laminar…

In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the $\alpha$-viscosity parameter. This method reduces the problem of solving a…

Astrophysics · Physics 2015-05-13 Jayanta K. Bhattacharjee , Atri Bhattacharya , Tapas K. Das , Arnab K. Ray

In this work, an analytical Volume Of Fluid (VOF) implementation of the Generalized Navier Boundary Condition is presented based on the Brackbill surface tension model. The model is validated by simulations of droplets on a smooth surface…

Fluid Dynamics · Physics 2018-12-31 A. M. P. Boelens , J. J. de Pablo

This paper concerns studies on smooth transonic flows with nonzero vorticity in De Laval nozzles for a quasi two dimensional steady Euler flow model which is a generalization of the classical quasi one dimensional model. First, the…

Analysis of PDEs · Mathematics 2024-05-29 Shangkun Weng , Zhouping Xin

Real-time and accurate prediction of aerodynamic flow fields around airfoils is crucial for flow control and aerodynamic optimization. However, achieving this remains challenging due to the high computational costs and the non-linear nature…

Fluid Dynamics · Physics 2025-10-23 Chunyang Wang , Biyue Pan , Zhibo Dai , Yudi Cai , Yuhao Ma , Hao Zheng , Dixia Fan , Hui Xiang

Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and…

Computational Physics · Physics 2021-11-29 Mateus Dias Ribeiro , Abdul Rehman , Sheraz Ahmed , Andreas Dengel

We consider the flow of two viscous and incompressible fluids within a bounded domain modeled by means of a two-phase Navier-Stokes system. The two fluids are assumed to be immiscible, meaning that they are separated by an interface. With…

Analysis of PDEs · Mathematics 2022-08-24 Sebastian Hensel , Alice Marveggio

In voice conversion (VC) applications, diffusion and flow-matching models have exhibited exceptional speech quality and speaker similarity performances. However, they are limited by slow conversion owing to their iterative inference.…

Sound · Computer Science 2026-02-23 Takuhiro Kaneko , Hirokazu Kameoka , Kou Tanaka , Yuto Kondo

This text is a compilation of some of the notes that the author has written during the development of the low-order model "DICO" [2, 8, 10, 11] for vowel phonation and the even more rudimentary glottal flow model [9] for processing…

Fluid Dynamics · Physics 2019-11-13 Jarmo Malinen

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

Computational Physics · Physics 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

Flow topology and unsteady cavitation dynamics in the wake of a backward facing step was investigated using high speed videography and time-resolved X-Ray densitometry, along with static and dynamic pressure measurements. The measurements…

Fluid Dynamics · Physics 2020-12-08 Anubhav Bhatt , Harish Ganesh , S. L. Ceccio

In the present study, quantitative feasibility tests of the hydrodynamic description of a two-dimensional fluid at the molecular level are performed, both with respect to length and time scales. Using high-resolution fluid velocity data…

Fluid Dynamics · Physics 2018-01-17 Kyeong Hwan Han , Changho Kim , Peter Talkner , George Em Karniadakis , Eok Kyun Lee

Granular flow problems characterized by large deformations are widespread in various applications, including coastal and geotechnical engineering. The paper deals with the application of a rigid-perfectly plastic two-phase model extended by…

Fluid Dynamics · Physics 2024-02-02 Wibke Düsterhöft-Wriggers , Svenja Schubert , Thomas Rung

This paper introduces a novel wave front tracking framework for reconstructing unknown flux functions in $2\times 2$ hyperbolic conservation laws, extending beyond the well-studied scalar case. By analyzing Riemann solutions at fixed…

Analysis of PDEs · Mathematics 2025-11-25 Chaohua Duan , Yan Jiang , Hongyu Liu , Wenjian Peng

We analyze the steady motion of a viscous incompressible fluid in a three-dimensional channel containing an obstacle through the Navier-Stokes equations with mixed boundary conditions: the inflow is given by a fairly general datum and the…

Analysis of PDEs · Mathematics 2020-08-21 Gianmarco Sperone

Potential flow theory remains a cornerstone of unsteady aerodynamics due to its computational efficiency in modeling complex flow phenomena. This study presents a significant advancement by integrating a viscous unsteady theory with…

Fluid Dynamics · Physics 2026-04-21 Rahul Kumar , Ramkumar Pathmanabhan