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The speed of sound in two-phase pipe flow systems is often several orders of magnitude greater than the travelling speed of hydraulic information (volume fractions.) Dynamically simulating such flows requires resolution of acoustic and…

计算物理 · 物理学 2018-11-30 Andreas Holm Akselsen

A generalized approach to decompose the compressible Navier-Stokes equations into an equivalent set of coupled equations for flow and acoustics is introduced. As a significant extension to standard hydrodynamic/acoustic splitting methods,…

流体动力学 · 物理学 2021-08-18 Roland Ewert , Johannes Kreuzinger

A second-order accurate and robust numerical scheme is developed for the Kapila model to simulate compressible multiphase flows. The scheme is formulated within the finite volume framework with the generalized Riemann problem (GRP) solver…

数值分析 · 数学 2025-06-10 Tuowei Chen , Zhifang Du

In this paper, a novel fully-explicit weakly compressible solver is developed for solving incompressible two-phase flows. The two-phase flow is modelled by coupling the general pressure equation, momentum conservation equations and the…

计算物理 · 物理学 2025-06-27 Ashley Melvin , J. C. Mandal

In this paper, we propose a modification of an acoustic-transport operator splitting Lagrange-projection method for simulating compressible flows with gravity. The original method involves two steps that respectively account for acoustic…

数值分析 · 数学 2023-10-30 Rémi Bourgeois , Pascal Tremblin , Samuel Kokh , Thomas Padioleau

Splitting methods are a widely used numerical scheme for solving convection-diffusion problems. However, they may lose stability in some situations, particularly when applied to convection-diffusion problems in the presence of an unbounded…

数值分析 · 数学 2024-04-25 Thi Tam Dang , Trung Hau Hoang , Giandomenico Orlandi

In this paper, we present a fast streamline-based numerical method for the two-phase flow equations in high-rate flooding scenarios for incompressible fluids in heterogeneous and anisotropic porous media. A fractional flow formulation is…

数值分析 · 数学 2018-11-29 Ettore Vidotto , Martin Schneider , Rainer Helmig , Barbara Wohlmuth

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component two-phase compressible flow with a realistic equation of state (e.g. Peng-Robinson equation of state). The methods are…

数值分析 · 数学 2017-12-12 Jisheng Kou , Shuyu Sun , Xiuhua Wang

This work presents an arbitrary Lagrangian Eulerian (ALE) method for the compressible two-phase flow ejecta transporting model with the HLLC-2D Riemann solver. We focus on researching the precise equation to describe the interactions…

数值分析 · 数学 2024-05-27 Jianqiao Zhang , Wei Yan , Xianggui Li

This report summarises the results for the numerical simulation of thermocapillary convection in a two-fluid system with a deformable interface. An explicit technique with 3rd order Runge-Kutta method in time, 2nd order ENO for the…

流体动力学 · 物理学 2021-10-08 Swagat Kumar Nayak

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the…

计算工程、金融与科学 · 计算机科学 2018-01-22 Petr N. Vabishchevich

We develop a semi-implicit algorithm for time-accurate simulation of the compressible Navier-Stokes equations, with special reference to wall-bounded flows. The method is based on linearization of the partial convective fluxes associated…

流体动力学 · 物理学 2016-08-31 Davide Modesti , Sergio Pirozzoli

In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics applications. The condenser consists of a set of…

This paper presents a characteristic-based flux partitioning for the semi-implicit time integration of atmospheric flows. Nonhydrostatic models require the solution of the compressible Euler equations. The acoustic time-scale is…

计算工程、金融与科学 · 计算机科学 2018-03-21 Debojyoti Ghosh , Emil M. Constantinescu

In this work, we discuss some points relevant for stochastic modelling of one- and two-phase turbulent flows. In the framework of stochastic modelling, also referred to PDF approach, we propose a new Langevin model including all viscosity…

流体动力学 · 物理学 2010-09-14 Sergio Chibbaro , Jean-Pierre Minier

Numerical simulation of multi-component flow systems characterized by the simultaneous presence of pressure-velocity coupling and pressure-density coupling dominated regions remains a significant challenge in computational fluid dynamics.…

流体动力学 · 物理学 2025-10-17 Xi Deng , Bin Xie , Omar K. Matar , Pierre Boivin

In this paper, we propose a numerical method for solving weakly compressible fluid flow based on a dynamical low-rank projector splitting. The low-rank splitting scheme is applied to the Boltzmann equation with BGK collision term, which…

数值分析 · 数学 2018-04-13 Lukas Einkemmer

A numerical procedure was developed for solving equations for compressible granular multiphase flows in which the particle volume fraction can range dynamically from very dilute to very dense. The procedure uses a low-dissipation and…

计算物理 · 物理学 2014-10-20 Ryan W. Houim , Elaine S. Oran

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

数值分析 · 数学 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde

We present a numerical scheme for immiscible two-phase flows with one compressible and one incompressible phase. Special emphasis lies in the discussion of the coupling strategy for compressible and incompressible Euler equations to…

流体动力学 · 物理学 2015-12-11 Jochen Neusser , Veronika Schleper
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