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We present an energy-stable scheme for numerically approximating the governing equations for incompressible two-phase flows with different densities and dynamic viscosities for the two fluids. The proposed scheme employs a scalar-valued…

Computational Physics · Physics 2019-06-26 Z. Yang , S. Dong

This paper is devoted to the formal study of the low-Mach-number limit for solutions of the compressible Navier-Stokes or Euler equations for different types of fluids.We first review the different results obtained in the case of flows…

Analysis of PDEs · Mathematics 2026-04-29 Cassandre Lebot

Existing hybrid Level Set / Front Tracking methods have been developed for structured meshes and successfully used for efficient and accurate simulations of complex multiphase flows. This contribution extends the capability of hybrid Level…

Computational Physics · Physics 2023-11-22 Tobias Tolle , Dieter Bothe , Tomislav Maric

A series of benchmarks based on the physical situation of "phase inversion" between two immiscible liquids is presented. These benchmarks aim at progressing toward the direct numerical simulation of two-phase flows. Several CFD codes…

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

Phase-transition models are an important family of non-equilibrium continuum traffic flow models, offering properties like replicating complex traffic phenomena, maintaining anisotropy, and promising potentials for accommodating automated…

Numerical Analysis · Mathematics 2025-07-01 Shaoshuai Chu , Alexander Kurganov , Saeed Mohammadian , Zuduo Zheng

We present the first open-source, GPU-based code for complex plasmas. The code, OpenDust, aims to provide researchers both experimenters and theorists user-friendly and high-performance tool for self-consistent calculation forces, acting on…

Plasma Physics · Physics 2023-05-03 D. Kolotinskii , A. Timofeev

We present a publicly accessible database designed to aid in the conception, training, demonstration, evaluation, and comparison of reduced-complexity models for fluid mechanics. Availability of high-quality flow data is essential for all…

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…

Atmospheric and Oceanic Physics · Physics 2015-05-11 Max Duarte , Ann S. Almgren , Kaushik Balakrishnan , John B. Bell , David M. Romps

This paper introduces multidimensional algorithms for simulating multiphase flows, leveraging the wave structure of the Euler equations in characteristic space and the physical properties of variables in physical space. The algorithm…

Fluid Dynamics · Physics 2026-04-07 Amareshwara Sainadh Chamarthi

In this paper, a three-dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time…

In this work the authors study the multiphase flow soft-sensing problem based on a previously established framework. There are three functional modules in this framework, namely, a transient well flow model that describes the response of…

Methodology · Statistics 2015-06-22 Xiaodong Luo , Rolf J. Lorentzen , Andreas S. Stordal , Geir Nævdal

This paper presents a geometric microcanonical ensemble perspective on two-dimensional Truncated Euler flows, which contain a finite number of (Fourier) modes and conserve energy and enstrophy. We explicitly perform phase space volume…

Fluid Dynamics · Physics 2022-05-18 Adrian van Kan , Alexandros Alexakis , Marc Brachet

In free-surface flows, such as breaking ocean waves, the momentum field will have a discontinuity at the interface between the two immiscible fluids, air and water, but still be smooth in most of the domain. Using a higher-order numerical…

Fluid Dynamics · Physics 2019-04-02 Tormod Landet , Mikael Mortensen

New diffuse interface and sharp interface models for soluble and insoluble surfactants fulfilling energy inequalities are introduced. We discuss their relation with the help of asymptotic analysis and present an existence result for a…

Fluid Dynamics · Physics 2016-10-27 Helmut Abels , Harald Garcke , Kei Fong Lam , Josef Weber

Upscaling the effect of heterogeneities in porous media is crucial for macroscopic flow predictions, with widespread applications in energy and environmental settings. In this study, we derive expressions for the upscaled flow properties of…

Fluid Dynamics · Physics 2020-07-06 GP Benham , MJ Bickle , JA Neufeld

This paper provides open-source code that works as a viscometer of particle-based simulations of three-dimensional fluid-particle interaction systems, targetting slurry or suspension flow in chemical engineering. The smoothed dissipative…

Computational Physics · Physics 2020-02-11 Satori Tsuzuki

Aerobreakup of fluid droplets under the influence of impulsively generated high-speed gas flow using an open-ended shock tube is studied using experiments and numerical simulations. Breakup of mm-sized droplets at high Weber number was…

Fluid Dynamics · Physics 2022-06-24 James Leung , Mohana Gurunadhan , Shyam Menon

In this article, we consider exactly divergence-free $H$(div)-conforming finite element methods for time-dependent incompressible viscous flow problems. This is an extension of previous research concerning divergence-free $H^1$-conforming…

Numerical Analysis · Mathematics 2018-04-17 Philipp W. Schroeder , Gert Lube

We propose a systematic training-free method to transform the probability flow of a "linear" stochastic process characterized by the equation X_{t}=a_{t}X_{0}+\sigma_{t}X_{1} into a straight constant-speed (SC) flow, reminiscent of…

Machine Learning · Computer Science 2024-08-06 Kien Do , Duc Kieu , Toan Nguyen , Dang Nguyen , Hung Le , Dung Nguyen , Thin Nguyen