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Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

数值分析 · 数学 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

流体动力学 · 物理学 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

Efficiently enhancing heat conduction through optimized distribution of a limited quantity of high thermal conductivity material is paramount in cooling electronic devices and numerous other applications. This paper introduces a…

计算工程、金融与科学 · 计算机科学 2024-05-24 Bo Zhang , Chi Zhang , Xiangyu Hu

The weakly compressible Smoothed Particle Hydrodynamics (SPH) is known to suffer from the pressure oscillation, which would undermine the simulation stability and accuracy. To address this issue, we propose a generalized density dissipation…

流体动力学 · 物理学 2023-08-30 Bo Xue Zheng , Zhi Wen Cai , Pei Dong Zhao , Xiao Yang Xu , Tak Shing Chan , Peng Yu

In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH) method. The algorithm uses dissipative…

天体物理学 · 物理学 2009-11-13 D. J. Price , J. J. Monaghan

In this paper, we present a unified nonequilibrium model of continuum mechanics for compressible multiphase flows. The model, which is formulated within the framework of Symmetric Hyperbolic Thermodynamically Compatible (SHTC) equations,…

数值分析 · 数学 2024-04-02 Davide Ferrari , Ilya Peshkov , Evgeniy Romenski , Michael Dumbser

We present the results from a two-day study in which we discussed various implementations of Smooth Particle Hydrodynamics (SPH), one of the leading methods used across a variety of areas of large-scale astrophysical simulations. In…

天体物理学 · 物理学 2007-05-23 Piet Hut , Lars Hernquist , George Lake , Jun Makino , Steve McMillan , Thomas Sterling

Mathematical modeling of cardiac function can provide augmented simulation-based diagnosis tool for complementing and extending human understanding of cardiac diseases which represent the most common cause of worldwide death. As the…

计算工程、金融与科学 · 计算机科学 2021-05-05 Chi Zhang , Jianhang Wang , Massoud Rezavand , Dong Wu , Xiangyu Hu

In this paper, we present a multi-resolution smoothed particle hydrodynamics (SPH) method for modeling fluid-structure interaction (FSI) problems. By introducing different smoothing lengths and time steps, the spatio-temporal discretization…

计算工程、金融与科学 · 计算机科学 2019-12-02 Chi Zhang , Massoud Rezavand , Xiangyu Hu

When the effects of relative motion at the solid object interfaces are not negligible, the contact method is required in the smoothed particle hydrodynamics (SPH) method to prevent virtual shear and tensile stresses. However, there is still…

流体动力学 · 物理学 2024-09-06 Wenbin Liu , Zhuoping Duan , Yan Liu , Fenglei Huang

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability and accuracy for free surface flow simulations. We introduce a general form…

流体动力学 · 物理学 2022-04-05 Mojtaba Jandaghian , Herman Musumari Siaben , Ahmad Shakibaeinia

We present an implementation of Smoothed Particle Hydrodynamics (SPH) in an adaptive-mesh PPPM algorithm. The code evolves a mixture of purely gravitational particles and gas particles. The code retains the desirable properties of previous…

天体物理学 · 物理学 2009-10-22 H. M. P. Couchman , P. A. Thomas , F. R. Pearce

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting…

数值分析 · 数学 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

Finite volume method (FVM) is a widely used mesh-based technique, renowned for its computational efficiency and accuracy but it bears significant drawbacks, particularly in mesh generation and handling complex boundary interfaces or…

计算工程、金融与科学 · 计算机科学 2023-12-07 Zhentong Wang , Oskar J. Haidn , Xiangyu Hu

We use a time-relaxed linear grid generator of Winslow type to propose a new deterministic-stochastic domain decomposition approach to the generation of adaptive moving meshes. The method uses the probabilistic form of the exact solution of…

数值分析 · 数学 2014-02-04 Alexander Bihlo , Ronald D. Haynes

A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different density. A non-conserved smectic order parameter is coupled to a…

软凝聚态物质 · 物理学 2022-02-02 Eduardo Vitral , Perry H. Leo , Jorge Viñals

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

We demonstrate a simple and scalable approach to increase conversion efficiencies of nonlinear metasurfaces by incorporating them into multipass cells and by letting the pump beam to interact with the metasurfaces multiple times. We…

We present diffSPH, a novel open-source differentiable Smoothed Particle Hydrodynamics (SPH) framework developed entirely in PyTorch with GPU acceleration. diffSPH is designed centrally around differentiation to facilitate optimization and…

流体动力学 · 物理学 2025-07-30 Rene Winchenbach , Nils Thuerey

In the smoothed particle dynamics (SPH) method, the characteristics of a target particle are interpolated based on the information from its neighboring particles. Consequently, a uniform initial distribution of particles significantly…

计算工程、金融与科学 · 计算机科学 2024-09-27 Chenxi Zhao , Yongchuan Yu , Oskar J. Haidn , Xiangyu Hu