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Considering turbulence is crucial to understanding clouds. However, covering all scales involved in the turbulent mixing of clouds with their environment is computationally challenging, urging the development of simpler models to represent…

We present a comprehensive validation, performance characterization, and scalability analysis of a hardware-accelerated phase-averaged multiscale solver designed to simulate acoustically driven dilute bubbly suspensions. The carrier fluid…

Fluid Dynamics · Physics 2026-04-24 Diego Vaca-Revelo , Benjamin Wilfong , Spencer H. Bryngelson , Aswin Gnanaskandan

In this work, we present experiments and simulations on the nucleation and successive dynamics of laser-induced bubbles inside liquid droplets in free-fall motion, i.e. a case with a free boundary in all directions. The droplets of a…

Fluid Dynamics · Physics 2023-08-07 Juan Manuel Rosselló , Hendrik Reese , K. Ashoke Raman , Claus-Dieter Ohl

We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

Fluid Dynamics · Physics 2018-09-24 Markus Uhlmann

In this paper, we present a theoretical, experimental, and numerical study of the dynamics of cavitation bubbles inside a droplet suspended in another host fluid. On the theoretical side, we provided a modified Rayleigh collapse time and…

Fluid Dynamics · Physics 2024-01-02 Shuai Li , Zhesheng Zhao , A-Man Zhang , Rui Han

The Immersed Boundary Method (IBM) is one of the popular one-fluid mixed Eulerian-Lagrangian methods to simulate motion of droplets. While the treatment of a moving complex boundary is an extremely time consuming and formidable task in a…

Computational Physics · Physics 2018-07-30 Chia Rui Ong , Hiroaki Miura

A variational method is used to derive a self-consistent macro-particle model for relativistic electromagnetic kinetic plasma simulations. Extending earlier work [E. G. Evstatiev and B. A. Shadwick, J. Comput. Phys., vol. 245, pp. 376-398,…

Computational Physics · Physics 2014-04-22 A. B. Stamm , B. A. Shadwick , E. G. Evstatiev

A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a…

Geophysics · Physics 2016-02-19 Matteo Cerminara , Tomaso Esposti Ongaro , Luigi Carlo Berselli

We present a practical cell-centred volume-of-fluid method developed within a pure Eulerian setting for the simulation of compressible solid-fluid problems. The method builds on a previously published diffuse-interface Godunov-type scheme…

Computational Physics · Physics 2023-04-25 Timothy R. Law , Philip T. Barton

Given a fluid equation with reduced Lagrangian $l$ which is a functional of velocity $\MM{u}$ and advected density $D$ given in Eulerian coordinates, we give a general method for semidiscretising the equations to give a canonical…

Numerical Analysis · Mathematics 2007-05-23 Colin Cotter

A new simulation method for solving fluid-structure coupling problems has been developed. All the basic equations are numerically solved on a fixed Cartesian grid using a finite difference scheme. A volume-of-fluid formulation (Hirt and…

Computational Physics · Physics 2015-05-20 Kazuyasu Sugiyama , Satoshi Ii , Shintaro Takeuchi , Shu Takagi , Yoichiro Matsumoto

Understanding the ultrasound pressure-driven dynamics of microbubbles confined in viscoelastic materials is relevant for multiple biomedical applications, ranging from contrast-enhanced ultrasound imaging to ultrasound-assisted drug…

The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an…

Numerical Analysis · Mathematics 2017-08-23 Yuanxun Bao , Aleksandar Donev , Boyce E. Griffith , David M. McQueen , Charles S. Peskin

We perform direct numerical simulations (DNS) of passive heavy inertial particles (dust) in homogeneous and isotropic two-dimensional turbulent flows (gas) for a range of Stokes number, ${\rm St} < 1$, using both Lagrangian and Eulerian…

Fluid Dynamics · Physics 2018-04-18 Dhrubaditya Mitra , Prasad Perlekar

We report an experimental investigation of various statistical properties of the spatial Fourier modes of the vorticity field in turbulent jets for a large range of Reynolds numbers ($530 \leq R_{\lambda} \leq 6100$). The continuous time…

Statistical Mechanics · Physics 2007-05-23 C. Poulain , N. Mazellier , P. Gervais , Y. Gagne , C. Baudet

When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure of a classical Hamiltonian system in which the potential energy is given by the internal energy of the fluid. The…

Analysis of PDEs · Mathematics 2021-12-21 Thomas Gallouët , Quentin Merigot , Andrea Natale

We present a novel Eulerian meshless method for two-phase flows with arbitrary embedded geometries. The spatial derivatives are computed using the meshless generalized finite difference method (GFDM). The sharp phase interface is tracked…

Fluid Dynamics · Physics 2024-06-27 Anand S Bharadwaj , Pratik Suchde , Prapanch Nair

We present numerical simulations of the three-dimensional Galerkin truncated incompressible Euler equations that we integrate in time while regularizing the solution by applying a wavelet-based denoising. For this, at each time step, the…

Fluid Dynamics · Physics 2018-01-03 Marie Farge , Naoya Okamoto , Kai Schneider , Katsunori Yoshimatsu

Nonlinear deformations of a two-dimensional gas bubble are investigated in the framework of a Hamiltonian formulation involving surface variables alone. The Dirichlet--Neumann operator is introduced to accomplish this dimensional reduction…

Fluid Dynamics · Physics 2023-10-27 Philippe Guyenne

Numerical methods for the simulation of cavitation processes have been developed for more than 50 years. The rich variety of physical phenomena triggered by the collapse of a bubble has several applications in medicine and environmental…

Fluid Dynamics · Physics 2024-04-30 Mandeep Saini , Lucas Prouvost , Stephane Popinet , Daniel Fuster