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The paper is devoted to the simulation of maritime two-phase flows of air and water. Emphasis is put on an extension of the classical Volume-of-Fluid (VoF) method by a diffusive contribution derived from a Cahn-Hilliard (CH) model and its…

计算物理 · 物理学 2020-03-24 Niklas Kühl , Michael Hinze , Thomas Rung

The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics…

混沌动力学 · 物理学 2018-08-01 Balachandra Suri , Jeffrey Tithof , Roman O. Grigoriev , Michael F. Schatz

The Navier-Stokes-Voigt model of viscoelastic incompressible fluid has been recently proposed as a regularization of the three-dimensional Navier-Stokes equations for the purpose of direct numerical simulations. Besides the kinematic…

数学物理 · 物理学 2009-10-09 Fabio Ramos , Edriss S. Titi

Advancements in computational fluid mechanics have largely relied on Newtonian frameworks, particularly through the direct simulation of Navier-Stokes equations. In this work, we propose an alternative computational framework that employs…

流体动力学 · 物理学 2024-12-10 H. Sababha , A. Elmaradny , H. Taha , M. Daqaq

This study is concerned with the simulation of a complex fluid flow problem involving flow past a wedge mounted on a wall for channel Reynolds numbers $Re_c=1560$, $6621$ and $6873$ in uniform and accelerated flow medium. The transient…

流体动力学 · 物理学 2022-11-29 Jiten C Kalita , Pankaj Kumar

This communication is devoted to the presentation of our recent results regarding the asymptotic analysis of a viscous flow in a tube with elastic walls. This study can be applied, for example, to the blood flow in an artery. With this aim,…

偏微分方程分析 · 数学 2017-03-14 G. Castiñeira , J. M. Rodríguez

Numerical simulations describing plunging breakers including the splash-up phenomenon are presented. The motion is governed by the classical, incompressible, two-dimensional Navier-Stokes equation. The numerical modelling of this two-phase…

comp-gas · 物理学 2008-02-03 G. Chen , C. Kharif , S. Zaleski , J. Li

We propose a novel method for the direct numerical simulation of interfacial flows involving large density contrasts, using a Volume-of-Fluid method. We employ the conservative formulation of the incompressible Navier-Stokes equations for…

计算物理 · 物理学 2021-01-13 Sagar Pal , Daniel Fuster , Stéphane Zaleski

A new approach for simulating flows over complex geometries is developed by introducing an accurate virtual interpolation point scheme as well as a virtual local stencil approach. The present method is based on the concept of point…

数值分析 · 数学 2014-02-05 Seong-Kwan Park , Gahyung Jo , Hi Jun Choe

Under shock loading, metals have been found to melt and with reflection of the shock wave from the material free surface, cavities nucleate and grow. This process is referred to as micro spall and has been studied experimentally with…

流体动力学 · 物理学 2017-11-15 L. C. Malan , Y. Ling , R. Scardovelli , A. Llor , S. Zaleski

Accurately resolving the coupled momentum transfer between the liquid and solid phases of complex fluids is a fundamental problem in multiphase transport processes, such as hydraulic fracture operations. Specifically we need to characterize…

流体动力学 · 物理学 2021-12-22 Célio Fernandes , Salah Faroughi , Ricardo Ribeiro , Ana Isabel , Gareth McKinley

Developing quantum algorithms to simulate fluid dynamics has become an active area of research, as accelerating fluid simulations could have significant impact in both industry and fundamental science. While many approaches have been…

量子物理 · 物理学 2026-03-13 Abtin Ameri , Joseph Carolan , Andrew M. Childs , Hari Krovi

According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal compressible two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable,…

流体动力学 · 物理学 2025-08-11 Junkai Wang , Qiaolin He

We propose a concept of dissipative weak (DW) solutions for the Navier-Stokes-Korteweg (NSK) system and prove conditional convergence of a structure-preserving finite volume scheme towards such a solution. DW solutions provide a generalized…

数值分析 · 数学 2026-04-20 Jan Giesselmann , Philipp Öffner , Robert Sauerborn

The results of an analysis of turbulent pipe flow based on a Karhunen-Lo`eve decomposition are presented. The turbulent flow is generated by a direct numerical simulation of the Navier-Stokes equations using a spectral element algorithm at…

流体动力学 · 物理学 2017-06-07 A. Duggleby , K. S. Ball , M. R. Paul , P. F. Fischer

We present nsCouette, a highly scalable software tool to solve the Navier-Stokes equations for incompressible fluid flow between differentially heated and independently rotating, concentric cylinders. It is based on a pseudospectral spatial…

流体动力学 · 物理学 2020-01-22 Jose Manuel Lopez , Daniel Feldmann , Markus Rampp , Alberto Vela-Martin , Liang Shi , Marc Avila

We derive and justify a new effective model for a compressible viscous liquid-vapor flow on a spray-like scale, i.e., for settings with a large number of phase boundaries. As a model on the detailed scale, we start from a parabolic…

偏微分方程分析 · 数学 2025-12-18 Christian Rohde , Florian Wendt

The direct simulation Monte Carlo (DSMC) method is a widely used stochastic particle approach to solving the Boltzmann equation. However, its computational cost remains a major drawback, which can be attributed to statistical errors when…

流体动力学 · 物理学 2024-07-12 Takehiro Shiraishi , Ikuya Kinefuchi

We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur at the interface, we have to consider phase transition. This…

数学物理 · 物理学 2024-01-10 Hajime Koba

It is argued that the van der Waals force exerted by the liquid and vapor/air on the molecules escaping from one phase into the other strongly affects the characteristics of evaporation. This is shown using two distinct descriptions of the…

软凝聚态物质 · 物理学 2024-02-14 E. S. Benilov