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This study proposes a generalized coordinates based smoothed particle hydrodynamics (GSPH) method with overset methods using a Total Lagrangian (TL) formulation for large deformation and crack propagation problems. In the proposed GSPH, the…

Computational Engineering, Finance, and Science · Computer Science 2021-05-24 Huachao Deng , Yoshiaki Abe , Tomonaga Okabe

Direct numerical simulation of subsonic turbulence with smoothed particle hydrodynamics (SPH) has traditionally been hampered by zeroth-order (E0) errors, inaccurate gradient evaluations, and excessive numerical dissipation. We demonstrate…

This article presents results of further investigation of the problem of spurious interface fragmentation in the multiphase SPH. In order to remove arising instabilities, many authors introduced the artificial interface correction…

Computational Physics · Physics 2016-03-01 Kamil Szewc , Michał Tadeusz Lewandowski

We test and improve the numerical schemes in our smoothed particle hydrodynamics (SPH) code for cosmological simulations, including the pressure-entropy formulation (PESPH), a time-dependent artificial viscosity, a refined timestep…

We present a new numerical study of the equilibrium and stability properties of close binary systems using the smoothed-particle hydrodynamics (SPH) technique. We adopt a simple polytropic equation of state $p=K\rho^\gam$ with $\gam=5/3$…

Astrophysics · Physics 2009-10-22 F. A. Rasio , S. L. Shapiro

The problem of two stiff fluids (energy density = pressure) moving radially in spherical symmetry is treated. The metric ansatz is chosen spherically symmetric, conformally static with a multiplicative separation of variables. The first…

General Relativity and Quantum Cosmology · Physics 2008-11-05 Valentin Kostov

The smoothed particle hydrodynamics (SPH) technique is a purely Lagrangian method, used in numerical simulations of fluids in astrophysics and computational fluid dynamics, among many other fields. SPH simulations with detailed physics…

Free surface flow problems including mixing processes in dam break flows and wave breaking phenomena are characterized by large deformation of the free surface. As such, they cannot be easily investigated by analytical and numerical mesh…

Fluid Dynamics · Physics 2018-10-22 Kalale Chola

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

The ambient hot intra-halo gas in clusters of galaxies is constantly fed and stirred by in-falling galaxies, a process that can be studied in detail with cosmological hydro- dynamical simulations. However, different numerical methods yield…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Steffen Heß , Volker Springel

We develop a framework for analyzing the momentum balance of laminar particle-laden flows based on immersed boundary methods, which solve the Navier-Stokes equations and resolve the particle surfaces. This framework differs from previous…

Fluid Dynamics · Physics 2018-06-04 E. Biegert , B. Vowinckel , E. Meiburg

Numerical simulations for the non-linear development of Kelvin-Helmholtz instability in two different density layers have been performed with the particle-based method (Godunov SPH) developed by Inutsuka (2002). The Godunov SPH can describe…

Astrophysics of Galaxies · Physics 2015-05-14 Seung-Hoon Cha , Shu-ichiro Inutsuka , Sergei Nayakshin

We investigate the linear instability of two-layer stratified shear flows in a sloping two-dimensional channel, subject to non-zero longitudinal gravitational forces. We reveal three previously unknown instabilities, distinct from the…

Fluid Dynamics · Physics 2023-09-20 Lu Zhu , Amir Atoufi , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

As a mesh-free method, smoothed particle hydrodynamics (SPH) has been widely used for modeling and simulating fluid-structure interaction (FSI) problems. While the kernel gradient correction (KGC) method is commonly applied in structural…

Computational Engineering, Finance, and Science · Computer Science 2025-03-17 Bo Zhang , Jianfeng Zhu , Xiangyu Hu

This paper develops an arbitrary-positioned buffer for the smoothed particle hydrodynamics (SPH) method, whose generality and high efficiency are achieved through two techniques. First, with the local coordinate system established at each…

Computational Engineering, Finance, and Science · Computer Science 2024-06-25 Shuoguo Zhang , Yu Fan , Yaru Ren , Bin Qian , Xiangyu Hu

In anisotropic media, the standard perfectly matched layer (PML) technique suffers irrevocable instability in terminating the unbounded problem domains. It remains an open question whether a stable PML-like absorbing boundary condition…

Numerical Analysis · Mathematics 2021-11-23 Yong Gao , Wangtao Lu

In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation. Namely, we will consider shape functions…

Numerical Analysis · Mathematics 2007-12-02 R. A. Brownlee , P. Houston , J. Levesley , S. Rosswog

In the standard SPH method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this…

Computational Physics · Physics 2017-03-22 Zili Dai , Huilong Ren , Xiaoying Zhuang , Timon Rabczuk

Smoothed particle hydrodynamics (SPH) has been extensively used to model high and low Reynolds number flows, free surface flows and collapse of dams, study pore-scale flow and dispersion, elasticity, and thermal problems. In different…

Numerical Analysis · Mathematics 2017-12-01 Alexander A. Lukyanov , Kees Vuik

The consistency of Moving Particle Semi-implicit (MPS) method in reproducing the gradient, divergence and Laplacian differential operators is discussed in the present paper. Its relation to the Smoothed Particle Hydrodynamics (SPH) method…

Fluid Dynamics · Physics 2013-07-26 Antonio Souto-Iglesias , Fabricio Macià , Leo M. González , Jose L. Cercos-Pita
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