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In this work, we propose a novel selective discontinuity sensor approach for numerical simulations of the compressible Navier-Stokes equations. Since transformation to characteristic space is already a common approach to reduce…

Fluid Dynamics · Physics 2023-05-16 Amareshwara Sainadh Chamarthi , Natan Hoffmann , Steven Frankel

To simulate the interaction of ocean waves with marine structures, coupling approaches between a potential flow model and a viscous model are investigated. The first model is a fully nonlinear potential flow (FNPF) model based on the…

Fluid Dynamics · Physics 2022-06-22 Fabien Robaux , Michel Benoit

We investigate the stochastic Direct Simulation Monte Carlo method (DSMC) for numerically solving the collision-term in heavy-ion transport theories of the Boltzmann-Uehling-Uhlenbeck (BUU) type. The first major modification we consider is…

Nuclear Theory · Physics 2009-10-28 G. Kortemeyer , F. Daffin , W. Bauer

The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann equation using a relaxation process. Therefore, it is more efficient to…

Computational Physics · Physics 2018-08-14 Fei Fei , Jun Zhang , Jing Li , ZhaoHui Liu

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

Computational Engineering, Finance, and Science · Computer Science 2017-11-02 Christoph Rettinger , Ulrich Rüde

The predictive accuracy of the Navier-Stokes equations is known to degrade at the limits of the continuum assumption, thereby necessitating expensive and often highly approximate solutions to the Boltzmann equation. While tractable in one…

Fluid Dynamics · Physics 2023-07-25 Ashish S. Nair , Justin Sirignano , Marco Panesi , Jonathan F. MacArt

In this paper a fully Eulerian solver for the study of multiphase flows for simulating the propagation of surface gravity waves over submerged bodies is presented. We solve the incompressible Navier-Stokes equations coupled with the volume…

Fluid Dynamics · Physics 2021-06-02 Francesco De Vita , Filippo De Lillo , Roberto Verzicco , Miguel Onorato

With wave-particle decomposition, a unified gas-kinetic wave-particle (UGKWP) method has been developed for the multiscale flow simulations. The UGKWP method captures the transport process in all flow regimes without kinetic solver's…

Fluid Dynamics · Physics 2023-03-27 Yufeng Wei , Junzhe Cao , Xing Ji , Kun Xu

The Direct Simulation Monte Carlo (DSMC) method is the gold standard for non-equilibrium rarefied gas dynamics, yet its computational cost can be prohibitive, especially for near-continuum regimes and high-fidelity \emph{ab initio}…

Computational Physics · Physics 2026-02-26 Ehsan Roohi , Ahmad Shoja-Sani , Stefan Stefanov

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

An accurate algorithm is proposed to improve the prediction of a particle in collision with a moving wall within the direct simulation Monte Carlo (DSMC) framework for the simulation of unsteady rarefied flows. This algorithm is able to…

Computational Physics · Physics 2021-09-29 He Zhang , Fanli Shan , Hong Fang , Xing Zhang , Jun Zhang , Jinghua Sun

In this work, we detail the GPU-porting of an in-house pseudo-spectral solver tailored towards large-scale simulations of interface-resolved simulation of drop- and bubble-laden turbulent flows. The code relies on direct numerical…

Fluid Dynamics · Physics 2024-06-04 Alessio Roccon

There are several approaches to describe flows with particles e.g. Lattice-Gas Automata (LGA), Lattice-Boltzmann method (LBM) or smoothed particle hydrodynamics (SPH). These approaches do not use fixed grids on which the Navier-Stokes…

Fluid Dynamics · Physics 2008-02-27 B. Ivancic

This paper introduces a new asymptotic-preserving Monte Carlo (APMC) method for simulating multi-species gas flows. This method decomposes the collision operator of the traditional APMC methods into macro and micro collision parts: the…

Fluid Dynamics · Physics 2024-10-29 Fei Fei

The multi-scale nature of gaseous flows poses tremendous difficulties for theoretical and numerical analysis. The Boltzmann equation, while possessing a wider applicability than hydrodynamic equations, requires significantly more…

Fluid Dynamics · Physics 2023-07-19 Tianbai Xiao , Steffen Schotthöfer , Martin Frank

To increase the reliability of simulations by particle methods for incompressible viscous flow problems, convergence studies and improvements of accuracy are considered for a fully explicit particle method for incompressible Navier--Stokes…

Numerical Analysis · Computer Science 2019-07-03 Y. Imoto , S. Tsuzuki , D. Nishiura

A deterministic-stochastic coupling scheme is developed for simulating rarefied gas flows, where the key process is the alternative solving of the macroscopic synthetic equations [Su et al., J. Comput. Phys., 407 (2020) 109245] and the…

Computational Physics · Physics 2024-06-26 Liyan Luo , Qi Li , Fei Fei , Lei Wu

The direct simulation Monte Carlo (DSMC) method is widely used to describe rarefied gas flows. The DSMC method accounts for the transport and collisions of computational particles, resulting in higher computational costs in the continuum…

Computational Physics · Physics 2025-08-11 Joonbeom Kim , Eunji Jun

The linear Navier-Stokes-Fourier (NSF) constitutive relations are capable of simulating the near-continuum flows, but fail in description of those flows which are removed far away from local equilibrium. In this paper, a diatomic nonlinear…

Fluid Dynamics · Physics 2018-02-22 Zhongzheng Jiang , Weifang Chen , Wenwen Zhao , R. S. Myong

Improving the efficiency of the direct simulation Monte Carlo (DSMC) method has become increasingly urgent with the rapid development of space exploration. To address this issue, the direct intermittent general synthetic iteration (DIG)…

Computational Physics · Physics 2025-11-25 Bin Hu , Liyan Luo , Kaiyuan Wang , Lei Wu