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We investigate how to simulate anisotropic heat conduction in a stable manner in Smoothed Particle Hydrodynamics. We show that the requirement for stability is that entropy must increase. From this, we deduce that methods involving direct…

Computational Physics · Physics 2018-12-26 Sergei Biriukov , Daniel J. Price

We present and test a new, special-relativistic formulation of Smoothed Particle Hydrodynamics (SPH). Our approach benefits from several improvements with respect to earlier relativistic SPH formulations. It is self-consistently derived…

High Energy Astrophysical Phenomena · Physics 2015-05-13 S. Rosswog

In this paper, a class of high order numerical schemes is proposed to solve the nonlinear parabolic equations with variable coefficients. This method is based on our previous work [10] for convection-diffusion equations, which relies on a…

Numerical Analysis · Mathematics 2020-12-30 Kaipeng Wang , Andrew Christlieb , Yan Jiang , Mengping Zhang

In this paper, breakup of liquid jet is simulated using smoothed particle hydrodynamics (SPH) which is a meshless Lagrangian numerical method. For this aim, flow governing equations are discretized based on SPH method. In this paper,…

Fluid Dynamics · Physics 2017-05-24 Majid Pourabdian , Pourya Omidvar , Mohammad Reza Morad

In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH…

Astrophysics · Physics 2008-11-26 Daniel J. Price

The dynamics of inertial particles in turbulence is modelled and investigated by means of direct numerical simulation of an axisymmetrically expanding homogeneous turbulent strained flow. This flow can mimic the dynamics of particles close…

Fluid Dynamics · Physics 2023-07-19 Chung-min Lee , Ármann Gylfason , Prasad Perlekar , Federico Toschi

Although the temporal spike dynamics of spiking neural networks (SNNs) enable low-power temporal pattern capture capabilities, they also incur inherent inconsistencies that severely compromise representation. In this paper, we perform dual…

Neural and Evolutionary Computing · Computer Science 2026-03-13 Yongqi Ding , Kunshan Yang , Linze Li , Yiyang Zhang , Mengmeng Jing , Lin Zuo

Self consistent quantum approaches are used to study the instabilities of finite nuclear systems. The frequencies of multipole density fluctuations are determined as a function of dilution and temperature, for several isotopes. The spinodal…

Nuclear Theory · Physics 2009-11-07 M. Colonna , Ph. Chomaz , S. Ayik

Much work has been done to understand the settling dynamics of spherical particles in a homogeneous and a stratified fluid. However, the effects of shape anisotropy on the settling dynamics of a particle in a stratified fluid are not…

Fluid Dynamics · Physics 2025-01-23 Rishabh V. More , Mehdi N. Ardekani , Luca Brandt , Arezoo M. Ardekani

The accuracy of meshless methods like Smoothed Particle Hydrodynamics (SPH) is highly dependent on the quality of the particle distribution. Existing particle initialization techniques often struggle to simultaneously achieve adaptive…

Computational Physics · Physics 2026-01-01 Navaneet Villodi , Prabhu Ramachandran

The standard smoothed particle hydrodynamics (SPH) method suffers from tensile instability, resulting in particle clumping and void regions under negative pressure conditions. In this study, we extend the transport-velocity formulation of…

Fluid Dynamics · Physics 2024-11-22 Zhentong Wang , Oskar J. Haidn , Xiangyu Hu

The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hierarchical, heterogeneous, and anisotropic shape functions. As…

Numerical Analysis · Mathematics 2020-10-20 Lukasz Kaczmarczyk , Hoang Nguyen , Zahur Ullah , Mebratu Wakeni , Chris Pearce

The characterization and mechanical stability of charged thin shells with spherical symmetry are analyzed in the context of Einstein-Born-Infeld theory. The study of stability is performed by considering linearized perturbations preserving…

General Relativity and Quantum Cosmology · Physics 2012-07-10 Ernesto F. Eiroa , Claudio Simeone

In this paper we propose a numerical procedure for the quantification of uncertainties in wave-structure interaction. We utilise the smoothed particle hydrodynamics (SPH) scheme for modelling the wave mechanics, coupled one-way with a…

Numerical Analysis · Mathematics 2024-08-22 Xiaoyuan Luo , Vijay Nandurdikar , Sangri-Yi , Alistair Revell , Georgios Fourtakas , Ajay B. Harish

A unified Smoothed Particle Hydrodynamics (SPH) simulation framework for coronary stent implantation is developed, which unifies weakly compressible hemodynamics, Neo-Hookean solids, and stent-artery contacts, based on a multi-resolution…

Fluid Dynamics · Physics 2025-11-13 Jinlei Zhou , Sukang Peng , Yongchuan Yu , Dong Wu , Xiangyu Hu

In this paper we study decaying turbulence in fixed and rotating boxes in two dimen- sions using the particle method SPH. The boundaries are specified by boundary force particles, and the turbulence is initiated by a set of gaussian…

Fluid Dynamics · Physics 2015-06-04 Alireza Valizadeh , Joe. J. Monaghan

While the application of the Smoothed Particle Hydrodynamics (SPH) method for the modeling of welding processes has become increasingly popular in recent years, little is yet known about the quantitative predictive capability of this…

This article considers a model problem of elastoplasticity with linearly kinematic hardening and presents hp-finite element discretizations of two equivalent weak formulations each having their respective advantages. A mixed variational…

Numerical Analysis · Mathematics 2026-05-12 Patrick Bammer , Lothar Banz , Miriam Schönauer , Andreas Schröder

Particle suspensions, present in many natural and industrial settings, typically contain aggregates or other microstructures that can complicate macroscopic flow behaviors and damage processing equipment. Recent work found that applying…

Soft Condensed Matter · Physics 2018-07-31 Jikai Wang , J. M. Schwarz , Joseph D. Paulsen

Isothermal and adiabatic shocks, which are produced from fast expansion of the gas, is simulated with smoothed particle hydrodynamics (SPH). The results are compared with the analytic solutions. The algorithm of the program is explained and…

Astrophysics · Physics 2007-05-23 Mohsen Nejad-Asghar
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