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The nonlinear convection terms in the governing equations of compressible fluid flows are hyperbolic in nature and are nontrivial for modelling and numerical simulation. Many numerical methods have been developed in the last few decades for…

Numerical Analysis · Mathematics 2021-10-26 Ramesh Kolluru , N. Venkata Raghavendra , S. V. Raghurama Rao , G. N. Sekha

A numerical procedure was developed for solving equations for compressible granular multiphase flows in which the particle volume fraction can range dynamically from very dilute to very dense. The procedure uses a low-dissipation and…

Computational Physics · Physics 2014-10-20 Ryan W. Houim , Elaine S. Oran

The numerical approximation of non-isothermal liquid-vapor flow within the compressible regime is a difficult task because complex physical effects at the phase interfaces can govern the global flow behavior. We present a sharp interface…

Fluid Dynamics · Physics 2015-11-12 Stefan Fechter , Claus-Dieter Munz , Christian Rohde , Christoph Zeiler

The paper investigates shock-induced vortical flows within inhomogeneous media of nonuniform thermodynamic properties. Numerical simulations are performed using an Eularian type mathematical model for compressible multi-component flow…

Fluid Dynamics · Physics 2017-06-28 A. F. Nowakowski , A. Ballil , F. C. G. A Nicolleau

The response of underwater structures to a near-field explosion is coupled with the dynamics of the explosion bubble and the surrounding water. This multiphase fluid-structure interaction process is investigated using a model problem that…

Fluid Dynamics · Physics 2023-09-15 Wentao Ma , Xuning Zhao , Christine Gilbert , Kevin Wang

The HLLC Riemann solver, which resolves both the shock waves and contact discontinuities, is popular to the computational fluid dynamics community studying compressible flow problems with mesh methods. Although it was reported to be used in…

Fluid Dynamics · Physics 2014-02-13 Z. H. Ma , H. Wang , L. Qian

Many experiments in biomedical applications and other disciplines use a shock tube. These experiments often involve placing an experimental sample within a fluid-filled container, which is then placed inside the shock tube. The shock tube…

Numerical Analysis · Mathematics 2018-04-24 Mauricio J. Del Razo , Randall J. LeVeque

Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are developed for the corresponding variable-coefficient…

Numerical Analysis · Mathematics 2013-07-18 Manuel Quezada de Luna David I. Ketcheson

A numerical method is presented to simulate gas-liquid-solid flows with bubble-particle interaction, including particle collision, sliding, and attachment. Gas-liquid flows are simulated in an Eulerian framework using a volume-of-fluid…

Fluid Dynamics · Physics 2020-12-01 Hojun Moon , Jeongbo Shim , Donghyun You

Using a method of stochastic perturbation of a Langevin system associated with the non-viscous Burgers equation we construct a solution to the Riemann problem for the pressureless gas dynamics describing sticky particles. As a bridging step…

Analysis of PDEs · Mathematics 2009-09-07 Sergio Albeverio , Anastasia Korshunova , Olga Rozanova

We numerically investigate the effect of non-condensable gas inside a vapor bubble on bubble dynamics, collapse pressure and pressure impact of spherical and aspherical bubble collapses. Free gas inside a vapor bubble has a damping effect…

Fluid Dynamics · Physics 2021-10-04 Theresa Trummler , Steffen J. Schmidt , Nikolaus A. Adams

In most classical fluids, shock waves are strongly dissipative, their energy being quickly lost through viscous damping. But in systems such as cold plasmas, superfluids, and Bose-Einstein condensates, where viscosity is negligible or…

Optics · Physics 2015-05-13 Wenjie Wan , Shu Jia , Jason W. Fleischer

Direct numerical simulation of liquid-gas-solid flows is uncommon due to the considerable computational cost. As the grid spacing is determined by the smallest involved length scale, large grid sizes become necessary -- in particular if the…

Computational Physics · Physics 2018-02-14 Simon Bogner , Jens Harting , Ulrich Rüde

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Turbulent flows laden with small bubbles are ubiquitous in many natural and industrial environments. From the point of view of numerical modeling, to be able to handle a very large number of small bubbles in direct numerical simulations,…

In the present paper, an efficient method to generate "pure" cylindrically converging shock wave without a following contact surface is proposed firstly. Then, the Richtmyer-Meshkov instabilities of two interfaces driven by the generated…

Fluid Dynamics · Physics 2021-02-09 Wei-Gang Zeng , Yu-Xin Ren , Jianhua Pan

The impact of a collapsing gas bubble above rigid, notched walls is considered. Such surface crevices and imperfections often function as bubble nucleation sites, and thus have a direct relation to cavitation-induced erosion and damage…

Second order perturbation solutions of profiles of bubbles suspended in liquid and liquid gas interfaces when liquid all sinks in the bottom under different accelerations are derived. Six procedures are developed based on these solutions,…

Soft Condensed Matter · Physics 2024-01-31 Shangtong Chen , Yong Gao , Wen Li , Fenglin Ding , Jintao Liu , Yong Li
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