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We evaluate an efficient overset grid method for two-dimensional and three-dimensional particulate flows for small numbers of particles at finite Reynolds number. The rigid particles are discretised using moving overset grids overlaid on a…

计算物理 · 物理学 2017-05-24 A. R. Koblitz , S. Lovett , N. Nikiforakis , W. D. Henshaw

We address in this paper a model for the simulation of turbulent deflagrations in industrial applications. The flow is governed by the Euler equations for a variable composition mixture and the combustion modelling is based on a…

数值分析 · 数学 2020-10-16 D Grapsas , Raphaèle Herbin , J. -C Latché , Y Nasseri

Developing high-order numerical schemes for two-phase flow in porous media that preserve key physical properties remains a significant challenge in numerical analysis. In this article, we propose a general framework to construct fully…

数值分析 · 数学 2026-05-29 Xiaoli Li , Cheng Wang , Yujing Yan , Nan Zheng

This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigid body is a first step towards the coupling with a Discrete…

Simulating infiltration in porous media using Richards' equation remains computationally challenging due to its parabolic structure and nonlinear coefficients. While a wide range of numerical methods for differential equations have been…

数值分析 · 数学 2026-04-16 Arnob Barua , Christopher E. Kees , Dmitri Kuzmin

Modeling blood flow in larger vessels using lattice-Boltzmann methods comes with a challenging set of constraints: a complex geometry with walls and inlet/outlets at arbitrary orientations with respect to the lattice, intermediate Reynolds…

We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stability features of the continuous problem: the scheme is…

数值分析 · 数学 2008-12-18 Laura Gastaldo , Raphaele Herbin , Jean-Claude Latché

We analyze the hydrodynamic stability of force-driven parallel shear flows in nonequilibrium molecular simulations with three-dimensional periodic boundary conditions. We show that flows simulated in this way can be linearly unstable, and…

流体动力学 · 物理学 2020-06-24 Michael P. Howard , Antonia Statt , Howard A. Stone , Thomas M. Truskett

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

In the present paper, a fluid-particle coupling method is directly derived from the Navier-Stokes equations (NSE) by applying the concept of volume-filtering, yielding a physically consistent methodology to incorporate solid wall boundary…

流体动力学 · 物理学 2024-10-17 Max Hausmann , Hani Elmestikawy , Berend van Wachem

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

数值分析 · 数学 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

The accuracy of Euler-Lagrange point-particle models employed in particle-laden fluid flow simulations depends on accurate estimation of the particle force through closure models. Typical force closure models require computation of the slip…

流体动力学 · 物理学 2020-04-14 Pedram Pakseresht , Mahdi Esmaily , Sourabh V. Apte

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 introduce a class of unconditionally energy stable, high order accurate schemes for gradient flows in a very general setting. The new schemes are a high order analogue of the minimizing movements approach for generating a time discrete…

数值分析 · 数学 2020-02-11 Alexander Zaitzeff , Selim Esedoglu , Krishna Garikipati

This paper focuses on the so-called Weighted Inertia-Dissipation-Energy (WIDE) variational approach for the approximation of unsteady Leray-Hopf solutions of the incompressible Navier-Stokes system. Initiated in [56], this variational…

偏微分方程分析 · 数学 2022-10-26 Michal Bathory , Ulisse Stefanelli

The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier--Stokes equations. The immersed…

数学物理 · 物理学 2011-10-28 Fereidoun Sabetghadam , Mehdi Badri , Shervin Sharafatmandjoor , Hosnieh Kor

We present an explicit finite difference method to simulate the non-ideal multi-phase fluid flow. The local density and the momentum transport are modeled by the Navier-Stokes (N-S) equations and the pressure is computed by the Van der…

流体动力学 · 物理学 2023-07-12 Chunheng Zhao , Alexandre Limare , Stephane Zaleski

The immersed boundary method is a mathematical framework for modeling fluid-structure interaction. This formulation describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form, and it uses…

We derive and analyse well-posed boundary conditions for the linear shallow water wave equation. The analysis is based on the energy method and it identifies the number, location and form of the boundary conditions so that the initial…

数值分析 · 数学 2023-09-29 Rudi Prihandoko , Kenneth Duru , Stephen Roberts , Christopher Zoppou

The accurate treatment of outflow boundary conditions remains a critical challenge in computational fluid dynamics when predicting aerodynamic forces and/or acoustic emissions. This is particularly evident when employing the lattice…