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A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

流体动力学 · 物理学 2014-08-11 Jun-De Li

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

流体动力学 · 物理学 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

Insoluble surfactants adsorbed at liquid-liquid or gas-liquid interfaces alter interfacial tension, leading to variations in the normal stress jump and generating tangential Marangoni stresses that can dramatically affect the flow dynamics.…

流体动力学 · 物理学 2025-07-15 Zhong-Han Xue , Jacques Magnaudet , Jie Zhang

This work concerns the simulation of compressible multi-material fluid flows and follows the method FVCF-NIP described in the former paper Braeunig et al (Eur. J. Mech. B/Fluids, 2009). This Cell-centered Finite Volume method is totally…

数值分析 · 数学 2010-10-26 Raphaël Loubère , Jean-Philippe Braeunig , Jean-Michel Ghidaglia

The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

流体动力学 · 物理学 2023-06-22 Johanna Potyka , Kathrin Schulte

This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The developed solver extends the existing IBM…

经典物理 · 物理学 2026-02-18 Punit Pandey , Ankit Bansal , Krishna Mohan Singh , Yannick Hoarau

A phase-field method for unstructured grids that is accurate, conservative, and robust is proposed in this work. The proposed method also results in bounded transport of volume fraction, and the interface thickness adapts automatically to…

流体动力学 · 物理学 2023-10-18 Hanul Hwang , Suhas S. Jain

Estimation of interface curvature in surface-tension dominated flows is a remaining challenge in Volume of Fluid (VOF) methods. Data-driven methods are recently emerging as a promising alternative in this domain. They outperform…

流体动力学 · 物理学 2023-04-26 Asim Önder , Philip Li-Fan Liu

We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic…

计算物理 · 物理学 2020-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

We consider an interface problem often arising in transport problems: a coupled system of partial differential equations with one (elliptic) transport equation on a bounded domain and one equation (in this case the Laplace problem) on the…

数值分析 · 数学 2016-05-24 Christoph Erath , Robert Schorr

We present a practical cell-centred volume-of-fluid method developed within a pure Eulerian setting for the simulation of compressible solid-fluid problems. The method builds on a previously published diffuse-interface Godunov-type scheme…

计算物理 · 物理学 2023-04-25 Timothy R. Law , Philip T. Barton

We consider sharp interface asymptotics for a phase field model of two phase near spherical biomembranes involving a coupling between the local mean curvature and the local composition proposed by the first and second authors. The model is…

偏微分方程分析 · 数学 2020-12-24 Charles M. Elliott , Luke Hatcher , Björn Stinner

In this work, physics-informed neural networks are applied to incompressible two-phase flow problems. We investigate the forward problem, where the governing equations are solved from initial and boundary conditions, as well as the inverse…

流体动力学 · 物理学 2021-01-26 Aaron B. Buhendwa , Stefan Adami , Nikolaus A. Adams

The dynamics of compressible liquid-vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscale model to describe liquid-vapor flow accurately, without…

数值分析 · 数学 2022-09-14 Jim Magiera , Christian Rohde

The immersed interface method (IIM) for models of fluid flow and fluid-structure interaction imposes jump conditions that capture stress discontinuities generated by forces that are concentrated along immersed boundaries. Most prior work…

数值分析 · 数学 2025-06-04 Michael J. Facci , Ebrahim M. Kolahdouz , Boyce E. Griffith

This work primarily focuses on the study of three gradient reconstruction techniques applied to the calculation of viscous terms in a cell-centered, finite volume formulation for general unstructured grids. The work also addresses different…

流体动力学 · 物理学 2026-02-13 Frederico Bolsoni Oliveira , João Luiz F. Azevedo

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution and of its gradient. In the case of simplicial meshes, the…

数值分析 · 数学 2016-08-16 Jérôme Droniou , Robert Eymard

This study has numerically investigated the effect of surface wettability on two-phase immiscible flow and dynamics of droplet pinch-off in a T-junction microchannel using finite element method. A conservative level set method (CLSM) has…

流体动力学 · 物理学 2022-12-01 Akepogu Venkateshwarlu , Ram Prakash Bharti

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

流体动力学 · 物理学 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic
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