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We present a fully-explicit, iteration-free, weakly-compressible method to simulate immiscible incompressible two-phase flows. To update pressure, we circumvent the computationally expensive Poisson equation and use the general pressure…

流体动力学 · 物理学 2024-06-03 Hormuzd Bodhanwalla , Dheeraj Raghunathan , Y. Sudhakar

In fluid dynamics, an important problem is linked to the knowledge of the fluid pressure. Recently, another approach to study incompressible fluid flow was suggested. It consists in using a general pressure equation (GPE) derived from…

流体动力学 · 物理学 2020-05-14 Adrien Toutant

A new projection method for a generic two-fluid model is presented in this work. Specifically, we extend the projection method, originally designed for single-phase variable density incompressible and compressible flows, to viscous…

数值分析 · 数学 2025-01-17 Po-Yi Wu

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the more actual…

流体动力学 · 物理学 2021-06-02 Jun-Jie Huang

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

A novel pressure-free two-fluid model formulation is proposed for the simulation of one-dimensional incompressible multiphase flow in pipelines and channels. The model is obtained by simultaneously eliminating the volume constraint and the…

流体动力学 · 物理学 2020-10-27 B. Sanderse , J. F. H. Buist , R. A. W. M. Henkes

We present a physical formulation, and a numerical algorithm, based on a class of general order parameters for simulating the motion of a mixture of $N$ ($N\geqslant 2$) immiscible incompressible fluids with given densities, dynamic…

流体动力学 · 物理学 2014-12-17 Suchuan Dong

For simulating incompressible flows by projection methods. it is generally accepted that the pressure-correction stage is the most time-consuming part of the flow solver. The objective of the present work is to develop a fast hybrid…

流体动力学 · 物理学 2023-06-05 Jiannong Fang

The following paper presents two simulation strategies for compressible two-phase or multicomponent flows. One is a full non-equilibrium model in which the pressure and velocity are driven towards the equilibrium at interfaces by numerical…

计算物理 · 物理学 2021-08-13 Rémi Abgrall , Paola Bacigaluppi , Barbara Re

We present a framework based on the generalized lattice-Boltzmann equation using multiple relaxation times with forcing term for eddy capturing simulation of wall bounded turbulent flows. Due to its flexibility in using disparate relaxation…

计算物理 · 物理学 2009-11-13 Kannan N. Premnath , Martin J. Pattison , Sanjoy Banerjee

The majority of available numerical algorithms for interfacial two-phase flows either treat both fluid phases as incompressible (constant density) or treat both phases as compressible (variable density). This presents a limitation for the…

计算物理 · 物理学 2022-01-20 Fabian Denner , Berend van Wachem

The discrete unified gas kinetic scheme (DUGKS) is a finite-volume scheme with discretization of particle velocity space, which combines the advantages of both lattice Boltzmann equation (LBE) method and unified gas kinetic scheme (UGKS)…

流体动力学 · 物理学 2014-11-25 Chen Wu , Baochang Shi , Zhenhua Chai , Peng Wang

The aim of this paper is to investigate the unstable nature of pressure computation focusing on incompressible flow modeling through the projection-based particle methods. A new approach from the original viewpoint of the momentum…

流体动力学 · 物理学 2022-03-18 Liang-Yee Cheng , Rubens Augusto Amaro Junior , Eric Henrique Favero

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…

计算物理 · 物理学 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

A new numerical scheme for solving incompressible Bingham flows with variable density, plastic viscosity and yield stress is proposed. The mathematical and computational difficulties due to the non-differentiable definition of the stress…

偏微分方程分析 · 数学 2018-06-11 Rénald Chalayer , Laurent Chupin , Thierry Dubois

We present a methodology for simulating three-dimensional flow of incompressible viscoplastic fluids modelled by generalised Newtonian rheological equations. It is implemented in a highly efficient framework for massively parallelisable…

流体动力学 · 物理学 2019-09-17 Knut Sverdrup , Ann Almgren , Nikolaos Nikiforakis

We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical viscosity. The proposed scheme used the couple pressure and…

数值分析 · 数学 2025-04-22 Cappanera Loic , Giordano Salvatore

In this paper, a generalized lattice Boltzmann (LB) model with a mass source is proposed to solve both incompressible and nearly incompressible Navier-Stokes (N-S) equations. This model can be used to deal with single-phase and two-phase…

计算物理 · 物理学 2019-02-26 Xiaolei Yuan , Zhenhua Chai , Huili Wang , Baochang Shi

A crucial issue in fluid dynamics is related to the knowledge of the fluid pressure. A new general pressure equation is derived from compressible Navier-Stokes equation. It is argued that this new pressure equation allows unifying…

流体动力学 · 物理学 2020-05-12 Adrien Toutant

In this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element (FV/FE) method for the resolution of weakly compressible flows in two and three space dimensions. The pressure-based methodology introduced in…

数值分析 · 数学 2020-06-16 A. Bermúdez , S. Busto , M. Dumbser , J. L. Ferrín , L. Saavedra , M. E. Vázquez-Cendón
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