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Numerical simulations of compressible real-fluid flows are notoriously plagued by spurious pressure oscillations arising in regions of abrupt flow variations. As a possible remedy, several numerical formulations enforce the pressure…

流体动力学 · 物理学 2026-05-27 Gennaro Coppola , Alessandro Aiello , Carlo De Michele

An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equations is derived by conditional volume-averaging of the…

流体动力学 · 物理学 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

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

An a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interest in an industrial context, using OpenFOAM. The PGD…

计算物理 · 物理学 2021-11-16 Vasileios Tsiolakis , Matteo Giacomini , Ruben Sevilla , Carsten Othmer , Antonio Huerta

Gas bubbles immersed in a liquid and flowing through a large pressure gradient undergoes volumetric deformation in addition to possible deviatoric deformation. While the high density liquid phase can be assumed to be an incompressible…

计算物理 · 物理学 2018-04-18 Prapanch Nair , Gaurav Tomar

In this contribution we present the first formulation of a heterogeneous multiscale method for an incompressible immiscible two-phase flow system with degenerate permeabilities. The method is in a general formulation which includes…

数值分析 · 数学 2014-11-24 Patrick Henning , Mario Ohlberger , Ben Schweizer

The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial accuracy near embedded boundaries for the velocity field and…

数值分析 · 数学 2017-03-08 David B. Stein , Robert D. Guy , Becca Thomases

We present a novel approach to kinetic theory modeling enabling the simulation of a generic, real gas presented by its corresponding equation of state. The model is based on mass, momentum and energy conservation, and unlike the lattice…

流体动力学 · 物理学 2020-02-25 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

In this paper a fully Eulerian solver for the study of multiphase flows for simulating the propagation of surface gravity waves over submerged bodies is presented. We solve the incompressible Navier-Stokes equations coupled with the volume…

流体动力学 · 物理学 2021-06-02 Francesco De Vita , Filippo De Lillo , Roberto Verzicco , Miguel Onorato

We investigate two common numerical techniques for integrating reversible moist processes in atmospheric flows in the context of solving the fully compressible Euler equations. The first is a one-step, coupled technique based on using…

大气与海洋物理 · 物理学 2015-05-11 Max Duarte , Ann S. Almgren , Kaushik Balakrishnan , John B. Bell , David M. Romps

We introduce a new global pressure formulation for immiscible three-phase compressible flows in porous media which is fully equivalent to the original equations, unlike the one introduced in \cite{CJ86}. In this formulation, the total…

数值分析 · 计算机科学 2009-01-13 Guy Chavent

The Gas-Kinetic Scheme (GKS), widely used in computational fluid dynamics for simulating hypersonic and other complicated flow phenomena, is extended in this work to electromagnetic problems by solving Maxwell's equations. In contrast to…

数值分析 · 数学 2026-01-01 Zhigang Pu , Wenpei Long , Kun Xu

Pressure Poisson equation (PPE) reformulations of the incompressible Navier-Stokes equations (NSE) replace the incompressibility constraint by a Poisson equation for the pressure and a suitable choice of boundary conditions. This yields a…

数值分析 · 数学 2023-08-16 Rodolfo Ruben Rosales , Benjamin Seibold , David Shirokoff , Dong Zhou

The kinetic theory of gases has suggested the idea of viscosity to model the effect of thermal fluctuations on the resolved flow. Supported by the assumed analogy between molecules and the eddies in a turbulent flows, the idea of an eddy…

流体动力学 · 物理学 2015-06-15 Marcello Righi

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

数值分析 · 数学 2014-08-19 György Tegze , Gyula I. Tóth

This paper presents a novel particle method to compute strongly coupled incompressible fluid and rigid bodies. The method adopts a velocity-based formulation and utilizes the linear complementarity problem for the incompressibility…

流体动力学 · 物理学 2023-03-01 Shugo Miyamoto , Seiichi Koshizuka

Physics-informed neural networks (PINNs) have shown promise for solving partial differential equations, yet their success in simulating incompressible flows at high Reynolds numbers remains limited. Existing approaches rely on auxiliary…

流体动力学 · 物理学 2026-05-15 Qifeng Hu , Inanc Senocak

We propose a numerical scheme for simulation of transient flows of incompressible non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient (shear rate) and the Cauchy stress tensor…

流体动力学 · 物理学 2019-01-28 Adam Janečka , Josef Málek , Vít Průša , Giordano Tierra

We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove the existence of dissipative solutions. The proof of this…

偏微分方程分析 · 数学 2024-02-22 Sarka Necasova , Justyna Ogorzaly , Jan Scherz

We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without resistivity. Existence of global weak solutions is established…

偏微分方程分析 · 数学 2019-07-02 Yang Li , Yongzhong Sun