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We present the IAMReX, an adaptive and parallel solver for particle-resolved simulations on the multi-level grid. The fluid equations are solved using a finite-volume scheme on the block-structured semi-staggered grids with both subcycling…

Fluid Dynamics · Physics 2024-08-27 Xuzhu Li , Chun Li , Xiaokai Li , Wenzhuo Li , Mingze Tang , Yadong Zeng , Zhengping Zhu

We present a new code, RCF("Radiative-Collisional code based on FAC"), which is used to simulate steady-state plasmas under non local thermodynamic equilibrium condition, especially photoinization dominated plasmas. RCF takes almost all of…

Atomic Physics · Physics 2015-06-24 Bo Han , Feilu Wang , David Salzmann , Gang Zhao

This paper presents a gradient-based reconstruction approach for simulations of compressible single and multi-species Navier-Stokes equations. The novel feature of the proposed algorithm is the efficient reconstruction via derivative…

Fluid Dynamics · Physics 2022-11-29 Amareshwara Sainadh Chamarthi

We extend to multi-dimensions the work of [1], where new fully explicit kinetic methods were built for the approximation of linear and non-linear convection-diffusion problems. The fundamental principles from the earlier work are retained:…

Numerical Analysis · Mathematics 2023-12-29 Gauthier Wissocq , Rémi Abgrall

Variational quantum algorithms offer a promising new paradigm for solving partial differential equations on near-term quantum computers. Here, we propose a variational quantum algorithm for solving a general evolution equation through…

Quantum Physics · Physics 2022-06-28 Fong Yew Leong , Wei-Bin Ewe , Dax Enshan Koh

The vaporization of a freely moving drop in a uniform, high-temperature gas stream is investigated through direct numerical simulation. The incompressible Navier-Stokes equations with surface tension and phase change are solved in…

Fluid Dynamics · Physics 2023-10-03 Bradley Boyd , Sid Becker , Yue Ling

The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a conservative hyperbolic partial differentiel…

Analysis of PDEs · Mathematics 2010-06-02 Christian Bourdarias , Stéphane Gerbi

The kinetic analyses of many-particle soft matter often employ many simulation studies of various physical phenomena which supplement the experimental limitations or compliment the theoretical findings of the study. Such simulations are…

Plasma Physics · Physics 2024-05-28 Allen Lobo , Vinod Kumar Sayal

Many phenomena in collisionless plasma physics require a kinetic description. The evolution of the phase space density can be modeled by means of the Vlasov equation, which has to be solved numerically in most of the relevant cases. One of…

Plasma Physics · Physics 2017-02-02 T. Trost , S. Lautenbach , R. Grauer

A lot of plasma physics problems are not amenable to exact solutions due to many reasons. It is worth mentioning among them, for example, nonlinearity of the motion equations, variable coefficients or non lineal conditions on known or…

Computational Physics · Physics 2018-12-11 Alex Estupiñán , E. A. Orozco , V. D. Dugar-Zhabon , M. T. Murillo Acevedo

Vortex interactions are commonly observed in atmospheric turbulence, plasma dynamics, and collective behaviors in biological systems. However, accurately simulating these complex interactions is highly challenging due to the need to capture…

Investigating blood flow in the cardiovascular system is crucial for assessing cardiovascular health. Computational approaches offer some non-invasive alternatives to measure blood flow dynamics. Numerical simulations based on traditional…

Numerical Analysis · Mathematics 2024-06-07 Han Zhang , Raymond Chan , Xue-Cheng Tai

The equations of stationary compressible flows of active liquid crystals are considered in a bounded three-dimensional domain. The system consists of the stationary Navier-Stokes equations coupled with the equation of Q-tensors and the…

Analysis of PDEs · Mathematics 2022-05-03 Zhilei Liang , Apala Majumdar , Dehua Wang , Yixuan Wang

So far existence of dissipative weak solutions for the compressible Navier-Stokes equations (i.e. weak solutions satisfying the relative energy inequality) is known only in the case of boundary conditions with non zero inflow/outflow (i.e.,…

Analysis of PDEs · Mathematics 2019-05-08 Young-Sam Kwon , Antonin Novotny , Vladyslav Satko

We present a numerical method for the solution of interfacial growth governed by the Stefan model coupled with incompressible fluid flow. An algorithm is presented which takes special care to enforce sharp interfacial conditions on the…

Fluid Dynamics · Physics 2022-10-19 Elyce Bayat , Raphael Egan , Daniil Bochkov , Alban Sauret , Frederic Gibou

We propose a scheme to create and transfer thermal squeezed states and random-phase coherent states in a system of two interacting levitated nanoparticles. In this coupled levitated system, we create a thermal squeezed state of motion in…

Quantum Physics · Physics 2025-03-25 Sandeep Sharma , Seongi Hong , Andrey S. Moskalenko

LCODE is a freely-distributed quasistatic 2D3V code for simulating plasma wakefield acceleration, mainly specialized at resource-efficient studies of long-term propagation of ultrarelativistic particle beams in plasmas. The beam is modeled…

Plasma Physics · Physics 2016-08-03 Alexander Sosedkin , Konstantin Lotov

We formulate a stochastic least-action principle for solutions of the incompressible Navier-Stokes equation, which formally reduces to Hamilton's principle for the incompressible Euler solutions in the case of zero viscosity. We use this…

Mathematical Physics · Physics 2008-10-07 Gregory L. Eyink

We present a new splitting method for time-dependent convection-dominated diffusion problems. The original convection diffusion system is split into two sub-systems: a pure convection system and a diffusion system. At each time step, a…

Mathematical Physics · Physics 2013-02-19 Feng Shi , Guoping Liang , Yubo Zhao , Jun Zou

In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the (oscillating) cell membrane. The correlated…

Computational Physics · Physics 2022-03-14 Antonio Raudino , Antonio Grassi , Giuseppe Lombardo , Giovanni Russo , Clarissa Astuto , Mario Corti