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Building efficient, accurate and generalizable reduced order models of developed turbulence remains a major challenge. This manuscript approaches this problem by developing a hierarchy of parameterized reduced Lagrangian models for…

The aim of this paper is to introduce a consistent velocity smoothing method for smoothed particle hydrodynamics (SPH). First the locally averaged Navier-Stokes equations are derived in a mathematically rigorous way to demonstrate the…

流体动力学 · 物理学 2018-07-31 Kalale Chola

I present a review of Smoothed Particle Hydrodynamics (SPH), with the aim of providing a mathematically rigorous, clear derivation of the algorithms from first principles. The method of discretising a continuous field into particles using a…

天体物理仪器与方法 · 物理学 2010-10-05 Peter J. Cossins

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…

计算物理 · 物理学 2017-03-22 Zili Dai , Huilong Ren , Xiaoying Zhuang , Timon Rabczuk

In this article, we investigate the artificial viscosity and hourglass control algorithms for high-order staggered Lagrangian hydrodynamics(SGH), as proposed in~\cite[Sun et al., 2025]{Sun2025High}. Inspired by the subzonal pressure method…

数值分析 · 数学 2025-09-10 Zhiyuan Sun , Jun Liu , Pei Wang

In this paper, we present a simple artificial damping method to enhance the robustness of total Lagrangian smoothed particle hydrodynamics (TL-SPH). Specifically, an artificial damping stress based on the Kelvin-Voigt type damper with a…

计算工程、金融与科学 · 计算机科学 2021-02-10 Chi Zhang , Yujie Zhu , Yongchuan Yu , Massoud Rezavand , Xiangyu Hu

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

广义相对论与量子宇宙学 · 物理学 2025-06-12 S. Rosswog , P. Diener

Smoothed particle hydrodynamics (SPH) is omnipresent in modern engineering and scientific disciplines. SPH is a class of Lagrangian schemes that discretize fluid dynamics via finite material points that are tracked through the evolving…

流体动力学 · 物理学 2024-07-09 Artur P. Toshev , Jonas A. Erbesdobler , Nikolaus A. Adams , Johannes Brandstetter

In smoothed particle hydrodynamics (SPH) method, the particle-based approximations are implemented via kernel functions, and the evaluation of performance involves two key criteria: numerical accuracy and computational efficiency. In the…

计算工程、金融与科学 · 计算机科学 2024-05-09 Zhentong Wang , Chi Zhang , Oskar J. Haidn , Xiangyu Hu

In recent years, forest fires and maritime accidents have occurred frequently, which have had a bad impact on human production and life. Thus, the development of seaplanes is an increasingly urgent demand. It is important to study the…

流体动力学 · 物理学 2023-06-22 Yang Xu , Peng-Nan Sun , Xiao-Ting Huang , Salvatore Marrone , Lei-Ming Geng

This paper presents the Smoothed particle hydrodynamics (SPH) model to examine the propagation of a regular and irregular waves. The SPH method is a grid-less Lagrangian approach which is capable of good accuracy in tracking large…

流体动力学 · 物理学 2009-11-11 D. De Padova , R. A. Dalrymple , M. Mossa , A. F. Petrillo

Hydrodynamical instabilities and shocks are ubiquitous in astrophysical scenarios. Therefore, an accurate numerical simulation of these phenomena is mandatory to correctly model and understand many astrophysical events, such as Supernovas,…

天体物理仪器与方法 · 物理学 2017-10-18 Ruben M. Cabezon , Domingo Garcia-Senz , Joana Figueira

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is…

数值分析 · 数学 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li

The aim of this paper is to devise a turbulence model for the particle method Smoothed Particle Hydrodynamics (SPH) which makes few assumptions, conserves linear and angular momentum, satisfies a discrete version of Kelvin's circulation…

流体动力学 · 物理学 2009-11-16 J. J. Monaghan

We present the results of a study confronting density maps reconstructed by the Delaunay Tessellation Field Estimator (DTFE) and by regular SPH kernel-based techniques. The comparison between the two methods clearly demonstrates the…

天体物理学 · 物理学 2009-11-07 F. I. Pelupessy , W. E. Schaap , R. van de Weygaert

Tangent stabilised large strain isotropic elasticity was recently proposed by Poya et al. [1] wherein by working directly with principal stretches the entire eigenstructure of constitutive and geometric/initial stiffness terms were found in…

计算物理 · 物理学 2024-09-30 Roman Poya , Rogelio Ortigosa , Antonio J. Gil , Theodore Kim , Javier Bonet

Lagrangian particle-based methods have opened new perspectives for the investigation of complex problems with large free-surface deformation. Some well-known particle-based methods adopted to solve non-linear hydrodynamics problems are the…

流体动力学 · 物理学 2023-06-06 Rubens Augusto Amaro Junior , Liang-Yee Cheng , Sergei K. Buruchenko

In this study, we establish a hybrid high-order smoothed particle hydrodynamics (SPH) framework (MLS-TENO-SPH) for compressible flows with discontinuities, which is able to achieve genuine high-order convergence in smooth regions and also…

流体动力学 · 物理学 2023-07-19 Tianrun Gao , Tian Liang , Lin Fu

We seek to accelerate and increase the size of simulations for fluid-structure interactions (FSI) by using multiple resolutions in the spatial discretization of the equations governing the time evolution of systems displaying two-way…

流体动力学 · 物理学 2017-08-02 Wei Hu , Wenxiao Pan , Milad Rakhsha , Qiang Tian , Haiyan Hu , Dan Negrut

The paper presents a detailed review of the smooth particle hydrodynamics (SPH) method with particular focus on its astrophysical applications. We start by introducing the basic ideas and concepts and thereby outline all ingredients that…

天体物理仪器与方法 · 物理学 2009-11-09 Stephan Rosswog