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A two-phase, low-Mach-number flow solver is created and verified for variable-density liquid and gas with phase change. The interface is sharply captured using a split Volume-of-Fluid method generalized for a non-divergence-free liquid…

流体动力学 · 物理学 2022-06-08 Jordi Poblador-Ibanez , William A. Sirignano

Efficient thermal management in high-power electronic devices requires cooling channel designs that provide high heat removal while satisfying strict spatial and manufacturing constraints. This study presents a two-stage hierarchical…

最优化与控制 · 数学 2026-03-31 Shunsuke Hirotani , Kunitaka Shintani , Yoshikatsu Furusawa , Kentaro Yaji

In this paper, we introduce a novel way to represent the interface for two-phase flows with phase change. We combine a level-set method with a Cartesian embedded boundary method and take advantage of both. This is part of an effort to…

数值分析 · 数学 2022-12-28 A. Limare , S. Popinet , C. Josserand , Z. Xue , A. Ghigo

We develop a general methodology for the inclusion of variable surface tension into a Volume-of-Fluid based Navier-Stokes solver. This new numerical model provides a robust and accurate method for computing the surface gradients directly by…

流体动力学 · 物理学 2017-11-22 Ivana Seric , Shahriar Afkhami , Lou Kondic

In this work, we first propose a diffuse-interface model for the freezing processes of three-phase flows in complex geometries, and the core of the model to intergratge the Navier-Stokes equations for fluid flows, a modified phase-field…

流体动力学 · 物理学 2025-10-22 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang

In this paper, we present a second-order accurate finite-difference method for solving convectiondiffusion equations with interfacial jumps on a moving interface. The proposed method is constructed under a semi-Lagrangian framework for…

数值分析 · 数学 2020-05-29 Hyuntae Cho , Yesom Park , Myungjoo Kang

We exploit level set topology optimization to find the optimal material distribution for metamaterial-based heat manipulators. The level set function, geometry, and solution field are parameterized using the non-uniform rational B-spline…

计算工程、金融与科学 · 计算机科学 2023-03-08 Chintan Jansari , Stéphane P. A. Bordas , Elena Atroshchenko

Topology optimization problems generally support multiple local minima, and real-world applications are typically three-dimensional. In previous work [I. P. A. Papadopoulos, P. E. Farrell, and T. M. Surowiec, Computing multiple solutions of…

数值分析 · 数学 2022-11-23 Ioannis P. A. Papadopoulos , Patrick E. Farrell

Convection is a key transport phenomenon important in many different areas, from hydrodynamics and ocean circulation to planetary atmospheres or stellar physics. However its microscopic understanding still remains challenging. Here we…

统计力学 · 物理学 2022-07-29 P. L. Garrido , P. I. Hurtado

Relying on an exact time evolution scheme, we identify a novel transient energy transfer phe- nomenon in an exactly-solvable quantum microscopic model consisting of a three-level system coupled to two non-Markovian zero-temperature bosonic…

量子物理 · 物理学 2016-10-21 Jun Jing , Dvira Segal , Baowen Li , Lian-Ao Wu

Mass transfer of gaseous components from rising bubbles to the ambient liquid can be described based on continuum mechanical sharp-interface balances of mass, momentum and species mass. In this context, the standard model consists of the…

流体动力学 · 物理学 2015-01-23 Dieter Bothe

In this paper, we introduce a model for a buoyancy-driven, air-to-air heat exchanger. This model, derived from first principles, features a conservative boundary condition at inflow based on the compressible Bernoulli equation, and a…

数值分析 · 数学 2026-05-18 Sylvie Bronsard , Charles S. Peskin

The present paper is devoted to the mixing and heat transfer features of mutually immiscible liquids in the two-fluid turbulent heterogeneous jet flow. Many natural and technical processes deal with the turbulent jets of mutually immiscible…

流体动力学 · 物理学 2020-12-16 Ivan V Kazachkov

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

In this article, we present the governing equations for the temperature field upstream and downstream of the periodically developed flow region in channels with arrays of periodic solid structures. From the ansatz that the temperature field…

流体动力学 · 物理学 2024-03-26 Geert Buckinx

We derive a homogenized macroscopic model for fluid flows over ordered homogeneous porous surfaces. The unconfined free-flow is described by the Navier-Stokes equation, and the Darcy equation governs the seepage flow within the porous…

流体动力学 · 物理学 2021-01-20 Y. Sudhakar , Ugis Lacis , Simon Pasche , Shervin Bagheri

Modeling transition-continuum hypersonic flows poses significant challenges due to thermodynamic nonequilibrium and the associated breakdown of the continuum assumption. Standard continuum models such as the Navier-Stokes equations are…

流体动力学 · 物理学 2025-06-18 Mikolaj Kryger , Jonathan F. MacArt

Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

软凝聚态物质 · 物理学 2021-09-02 Josef Málek , Ondřej Souček

A novel finite element framework is proposed for the numerical simulation of two phase flows with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation for the liquid-gas interface is used in order to reach…

计算工程、金融与科学 · 计算机科学 2020-10-27 Modesar Shakoor , Chung Hae Park

Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\bm{u}$…

统计力学 · 物理学 2016-08-31 Sorin Bastea , Raffaele Esposito , Joel L. Lebowitz , Rossana Marra