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In the present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is derived with the help of the consistency conditions and exactly…

计算物理 · 物理学 2021-11-16 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

We present a realizability-preserving numerical method for solving a spectral two-moment model to simulate the transport of massless, neutral particles interacting with a steady background material moving with relativistic velocities. The…

数值分析 · 数学 2025-01-14 Joseph Hunter , Eirik Endeve , M. Paul Laiu , Yulong Xing

Soft solids in fluids find wide range of applications in science and engineering, especially in the study of biological tissues and membranes. In this study, an Eulerian finite volume approach has been developed to simulate fully resolved…

计算物理 · 物理学 2019-09-17 Suhas S. Jain , Ken Kamrin , Ali Mani

We present a numerical algorithm that enables a phase-space adaptive Eulerian Vlasov-Fokker-Planck (VFP) simulation of an inertial confinement fusion (ICF) capsule implosion. The approach relies on extending a recent mass, momentum, and…

We propose an unfitted interface penalty Discontinuous Galerkin-Finite Element Method (UIPDG-FEM) for elliptic interface problems. This hybrid method combines the interior penalty discontinuous Galerkin (IPDG) terms near the…

数值分析 · 数学 2025-05-27 Juan Han , Haijun Wu , Yuanming Xiao

The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated along those boundaries. For a viscous incompressible fluid,…

数值分析 · 数学 2026-03-10 Michael J. Facci , Qi Sun , Boyce E. Griffith

A simulation framework based on the level-set and the immersed boundary methods (LS-IBM) has been developed for reactive transport problems in porous media involving a moving solid-fluid interface. The interface movement due to surface…

流体动力学 · 物理学 2023-04-13 Mehrdad Yousefzadeh , Yinuo Yao , Ilenia Battiato

We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a fully Eulerian interfacial energy. In order to penalize large…

偏微分方程分析 · 数学 2024-02-16 Katharina Brazda , Martin Kružík , Fabian Rupp , Ulisse Stefanelli

We develop a combined field formulation for the fluid structure (FS) interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid pressure and solid velocity. This combined field formulation uses Arbitrary Lagrangian…

数值分析 · 数学 2014-01-03 Jie Liu

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 work, we propose a novel phase-field model for the simulation of two-phase flows that is accurate, conservative, bounded, and robust. The proposed model conserves the mass of each of the phases, and results in bounded transport of…

计算物理 · 物理学 2022-08-23 Suhas S. Jain

This paper presents a novel volume of fluid ghost-cell immersed boundary (IB) method for two-phase free surface flow interacting with structures. To circumvent the disturbance occurring around the intersection area of the IB and free…

流体动力学 · 物理学 2024-09-16 Fan Chen , Jinghua Wang , Huan-Feng Duan

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

计算工程、金融与科学 · 计算机科学 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

流体动力学 · 物理学 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki

In this paper, we present an Eulerian-Lagrangian methodology to simulate the interaction between a fluid-fluid interface and a solid particle in the presence of wetting effects. The target physical problem is represented by ternary phase…

流体动力学 · 物理学 2023-09-21 Fernando Kevin Miranda S. Cruz , Cristian Marchioli

Recently, machine learning has been used to substitute parts of conventional computational fluid dynamics, e.g. the cell-face reconstruction in finite-volume solvers or the curvature computation in the Volume-of-Fluid (VOF) method. The…

流体动力学 · 物理学 2022-03-14 Aaron B. Buhendwa , Deniz A. Bezgin , Nikolaus Adams

A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with the phases liquid and vapor, where both phases may coexist.…

偏微分方程分析 · 数学 2014-11-13 Wolfgang Dreyer , Jan Giesselmann , Christiane Kraus

Over the past decades, the volume-of-fluid (VOF) method has been the method of choice for simulating atomization processes, owing to its unique ability to discretely conserve mass. Current state-of-the-art VOF methods, however, rely on the…

计算物理 · 物理学 2024-01-29 Fabien Evrard , Robert Chiodi , Berend van Wachem , Olivier Desjardins

We propose a variant of the $\theta$-scheme for diffuse interface models for two-phase flow, together with three new linearization techniques for the surface tension. These involve either additional stabilizing force terms, or a fully…

数值分析 · 数学 2014-03-05 Sebastian Aland

We present a numerical method for interface-resolved simulations of evaporating two-fluid flows based on the volume-of-fluid (VoF) method. The method has been implemented in an efficient FFT-based two-fluid Navier-Stokes solver, using an…

计算物理 · 物理学 2020-01-24 Nicolò Scapin , Pedro Costa , Luca Brandt