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We consider a diffuse-interface model for two-phase incompressible viscous flows with a soluble surfactant in a bounded porous medium. This hydrodynamic system consists of a Darcy--Forchheimer equation for the seepage velocity…

偏微分方程分析 · 数学 2026-03-24 Maurizio Grasselli , Bohan Ouyang , Andrea Poiatti , Hao Wu

In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can…

计算物理 · 物理学 2015-12-15 Cihan Bayindir

A two-stage super-resolution simulation method is proposed for street-scale air temperature and wind velocity, which considerably reduces computation time while maintaining accuracy. The first stage employs a convolutional neural network…

大气与海洋物理 · 物理学 2025-01-13 Yuki Yasuda , Ryo Onishi

The semi-analytical wall boundary conditions present a mathematically rigorous framework to prescribe the influence of solid walls in SPH for fluid flows. In this paper they are investigated with respect to the skew-adjoint property which…

流体动力学 · 物理学 2015-06-15 Arno Mayrhofer , Benedict D. Rogers , Damien Violeau , Martin Ferrand

In this work, we propose a novel phase-field model for the simulation of two-phase flows that is accurate, conservative, bounded, and robust. The proposed model conserves the mass of each of the phases, and results in bounded transport of…

计算物理 · 物理学 2022-08-23 Suhas S. Jain

In this work we study the solution of the Riemann problem for the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase flow model introduced in \cite{Romenski2007,Romenski2009}. All…

偏微分方程分析 · 数学 2022-11-29 Ferdinand Thein , Evgeniy Romenski , Michael Dumbser

With increasing engineering demands, there need high order accurate schemes embedded with precise physical information in order to capture delicate small scale structures and strong waves with correct "physics". There are two families of…

数值分析 · 数学 2018-11-27 Jiequan Li

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 investigate a model for traffic flow based on the Lighthill-Whitham-Richards model that consists of a hyperbolic conservation law with a discontinuous, piecewise-linear flux. A mollifier is used to smooth out the discontinuity in the…

数值分析 · 数学 2013-05-17 Jeffrey K. Wiens , John M. Stockie , JF Williams

The present paper addresses the development and implementation of the first high-order Flux Reconstruction (FR) solver for high-speed flows within the open-source COOLFluiD (Computational Object-Oriented Libraries for Fluid Dynamics)…

计算物理 · 物理学 2019-07-24 Ray Vandenhoeck , Andrea Lani

We consider a real two-fluid system of compressible viscous fluids with a common velocity field and algebraic closure for the pressure law. The constitutive relation involves densities of both fluids through an implicit function. The…

偏微分方程分析 · 数学 2026-02-24 Yang Li , Mária Lukáčová-Medvid'ová , Milan Pokorný , Ewelina Zatorska

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

The ghost fluid method allows a propagating interface to remain sharp during a numerical simulation. The solution of the Riemann problem at the interface provides proper information to determine interfacial fluxes as well as the velocity of…

流体动力学 · 物理学 2023-05-18 Steven Jöns , Christoph Müller , Johanna Hintz , Andrea Beck , Claus-Dieter Munz

This paper proposes an efficient potential and viscous flow decomposition method for wave-structure interaction simulation with single-phase potential flow wave models and two-phase Computational Fluid Dynamics (CFD) solvers. The potential…

We study a non-local version of the Cahn-Hilliard dynamics for phase separation in a two-component incompressible and immiscible mixture with linear mobilities. In difference to the celebrated local model with nonlinear mobility, it is only…

偏微分方程分析 · 数学 2019-03-07 Clément Cancès , Daniel Matthes , Flore Nabet

We propose a numerical methodology for the numerical simulation of distinct, interacting physical processes described by a combination of compressible, inert and reactive forms of the Euler equations, multiphase equations and elastoplastic…

计算物理 · 物理学 2018-05-09 Louisa Michael , Nikolaos Nikiforakis

In subsurface multiphase flow simulations, poor nonlinear solver performance is a significant runtime sink. The system of fully implicit mass balance equations is highly nonlinear and often difficult to solve for the nonlinear solver,…

Simulating compositional multiphase flow in porous media is a challenging task, especially when phase transition is taken into account. The main problem with phase transition stems from the inconsistency of the primary variables such as…

数值分析 · 数学 2021-01-08 Q. M. Bui , H. C. Elman

An advanced Volume of Fluid (VOF) method is presented that enables performant three-dimensional Direct Numerical Simulations (DNS) of the interaction of two immiscible fluids in a gaseous environment with large topology changes, e.g.,…

流体动力学 · 物理学 2023-11-08 Johanna Potyka , Kathrin Schulte

A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation time approximation, in which both the normal and resistive…

计算物理 · 物理学 2026-01-30 Shijie Li , Hong Liang , Songze Chen , Chuang Zhang