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In this article, we investigate the two-dimensional pressureless Euler equations with three constant Riemann initial data. Our primary focus is on the wave interactions involving contact discontinuities and delta shocks. A distinguishing…

Analysis of PDEs · Mathematics 2025-07-24 Anamika Pandey , T. Raja Sekhar

We present a simulation for the interactions of shockwaves with light spherical density inhomogeneities. Euler equations for two-phase compressible flows are solved in a 3D uniform resolution finite volume based solver using 5th order WENO…

Fluid Dynamics · Physics 2015-06-11 Babak Hejazialhosseini , Diego Rossinelli , Petros Koumoutsakos

The computational modeling of high-speed flows (e.g. hypersonic) and space plasmas is characterized by a plethora of complex physical phenomena, in particular involving strong oblique shocks, bow shocks and/or shock waves boundary layer…

Computational Physics · Physics 2025-11-19 Firas Ben Ameur , Andrea Lani

Media composed of colliding hard disks (2D) or hard spheres (3D) serve as good approximations for the collective hydrodynamic description of gases, liquids and granular media. In the present study, the compressible hydrodynamics and shock…

Fluid Dynamics · Physics 2015-05-30 Nick Sirmas , Marion Tudorache , Javier Barahona , Matei I. Radulescu

Higher-order dispersion can lead to intriguing dynamics that are becoming a focus of modern hydrodynamics research. Such systems occur naturally, for example in shallow water waves and nonlinear optics, for which several types of novel…

Quantum Gases · Physics 2021-06-15 Maren E. Mossman , Edward S. Delikatny , Michael McNeil Forbes , Peter Engels

In this work we study the dynamic behaviour of compound shells of revolution partially filled with an ideal incompressible fluid based on boundary-value problems. New analytical mathematical model with corresponding discrete scheme for the…

Computational Engineering, Finance, and Science · Computer Science 2016-06-15 Iryna Kononenko , Oleksiy Kononenko

Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computational fluid dynamics methods. Starting…

Mathematical Physics · Physics 2010-09-23 Kun Xu , Quanhua Sun , Pubing Yu

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

We propose a low-dimensional modeling approach to simulate the dynamics, acoustic emissions and interactions of cavitation bubbles, based on a quasi-acoustic assumption. This quasi-acoustic assumption accounts for the compressibility of the…

Fluid Dynamics · Physics 2024-12-10 Pierre Coulombel , Fabian Denner

This paper is concerned with the study of the main wave interactions in a system of conservation laws in geochemical modeling. We study the modeling of the chemical complexes on the rock surface. The presence of stable surface complexes…

Analysis of PDEs · Mathematics 2022-07-21 A. C. Alvarez , J. Bruining , D. Marchesin

The compression of a cylindrical gas bubble by an imploding molten lead (Pb) shell may be accompanied by the development of the Richtmyer-Meshkov (RM) instability at the liquid-gas interface due to the initial imperfection of the interface.…

Soft Condensed Matter · Physics 2013-11-13 Victoria Suponitsky , Sandra Barsky , Aaron Froese

Shock wave-droplet interactions have been receiving increasing attention due to their relevance in aviation fuel combustion and minimally invasive medical treatments, yet quantifying them experimentally remains a challenge. In this study,…

Fluid Dynamics · Physics 2026-03-24 Sayaka Ichihara , Samuele Fiorini , Yoshiyuki Tagawa , Outi Supponen

Plasma shock waves widely exist and play an important role in high-energy-density environment, especially in the inertial confinement fusion. Due to the large gradient of macroscopic physical quantities and the coupled thermal, electrical,…

Plasma Physics · Physics 2023-08-25 Zhipeng Liu , Jiahui Song , Aiguo Xu , Yudong Zhang , Kan Xie

A fully conservative sharp-interface method is developed for multiphase flows with phase change. The coupling between two phases is implemented via introducing the interfacial fluxes, which are obtained by solving a general Riemann problem…

Computational Physics · Physics 2021-10-18 Tian Long , Jinsheng Cai , Shucheng Pan

In this article we present a new formulation and an associated algorithm for the simultaneous numerical simulation of multiple condensed phase explosives in direct contact with each other, which may also be confined by (or interacting with…

Computational Physics · Physics 2022-03-14 Riccardo Demattè , Louisa Michael , Nikolaos Nikiforakis

Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we report on a novel dispersive hydrodynamics testbed: the…

Pattern Formation and Solitons · Physics 2016-05-04 Michelle D. Maiden , Nicholas K. Lowman , Dalton V. Anderson , Marika E. Schubert , Mark A. Hoefer

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

We perform direct numerical simulations of shock-wave/boundary-layer interactions (SBLI) at Mach number M = 1.7 to investigate the influence of the state of the incoming boundary layer on the interaction properties. We reproduce and extend…

Fluid Dynamics · Physics 2017-09-18 Russell Quadros , Matteo Bernardini

The proposed method aims to approximate a solution of a fluid-fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the…

Numerical Analysis · Mathematics 2020-04-22 Mustafa Aggul , Fatma G. Eroglu , Songül Kaya , Alexander E. Labovsky

The study of gas bubble dynamics in liquids is justified by the numerous applications and natural phenomena where this two-phase flow is encountered. Gas bubbles move as forces are applied to them; their dynamics are full of nuances that…

Fluid Dynamics · Physics 2025-01-07 Dominique Legendre , Roberto Zenit