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Accounting for the Reynolds number is critical in numerical simulations of turbulence, particularly for subsonic flow. For Smoothed Particle Hydrodynamics (SPH) with constant artificial viscosity coefficient alpha, it is shown that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Daniel J. Price

Particle-based fluid simulations have emerged as a powerful tool for solving the Navier-Stokes equations, especially in cases that include intricate physics and free surfaces. The recent addition of machine learning methods to the toolbox…

We employ a multi-phase smoothed particle hydrodynamics (SPH) method to study droplet dynamics in shear flow. With an extensive range of Reynolds number, capillary number, wall confinement, and density/viscosity ratio between the droplet…

Fluid Dynamics · Physics 2023-07-07 Kuiliang Wang , Hong Liang , Chong Zhao , Xin Bian

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

Smoothed Particle Hydrodynamics (SPH) is a frequently applied tool in computational astrophysics to solve the fluid dynamics equations governing the systems under study. For some problems, for example when involving asteroids and asteroid…

Instrumentation and Methods for Astrophysics · Physics 2023-11-20 Irina Sagert , Oleg Korobkin , Ingo Tews , Bing-Jyun Tsao , Hyun Lim , Michael J. Falato , Julien Loiseau

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 the non viscous fluid dynamics, Smooth Particle Hydrodynamics (SPH), as a free Lagrangian "shock capturing" method adopts either an artificial viscosity contribution or an appropriate Riemann solver technique. An explicit or an implicit…

Fluid Dynamics · Physics 2010-09-17 G. Lanzafame

This paper presents a stabilization scheme which addresses the rank-deficiency problem in meshless collocation methods for solid mechanics. Specifically, Smooth-Particle Hydrodynamics (SPH) in the Total Lagrangian formalism is considered.…

Computational Physics · Physics 2015-06-23 Georg C. Ganzenmüller

Despite the many advances in the use of weakly-compressible smoothed particle hydrodynamics (SPH) for the simulation of incompressible fluid flow, it is still challenging to obtain second-order convergence even for simple periodic domains.…

Numerical Analysis · Mathematics 2022-09-07 Pawan Negi , Prabhu Ramachandran

In a companion paper (Laibe & Price 2011b), we have presented an algorithm for simulating two-fluid gas and dust mixtures in Smoothed Particle Hydrodynamics (SPH). In this paper, we develop an implicit timestepping method that preserves the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Guillaume Laibe , Daniel J. Price

We present an on-the-fly geometrical approach for shock detection and Mach number calculation in simulations employing smoothed particle hydrodynamics (SPH). We utilize pressure gradients to select shock candidates and define up- and…

Instrumentation and Methods for Astrophysics · Physics 2016-03-23 Alexander M. Beck , K. Dolag , Julius M. F. Donnert

Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e. smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably difficult. To implement MHD requires two steps: a modification to the momentum equation and an…

Instrumentation and Methods for Astrophysics · Physics 2016-06-23 Benjamin T. Lewis , Matthew R. Bate , Terrence S. Tricco

Dynamic wetting plays an important role in the physics of multiphase flow, and has significant influence on many industrial and geotechnical applications. In this work, a modified smoothed particle hydrodynamics (SPH) model is employed to…

Soft Condensed Matter · Physics 2018-04-10 Yanyao Bao , Ling Li , Luming Shen , Chengwang Lei , Yixiang Gan

In the case of hyperbolic conservation laws, high-order methods, such as the classical DG method, experience the phenomenon of unwanted high-frequency oscillations in the vicinity of a shock. Shock-capturing methods such as artificial…

Numerical Analysis · Mathematics 2025-11-04 Sai Shruthi Srinivasan , Siva Nadarajah

This work presents a new multiphase SPH model that includes the shifting algorithm and a variable smoothing length formalism to simulate multi-phase flows with accuracy and proper interphase management. The implementation was performed in…

Total Lagrangian Smoothed Particle Hydrodynamics (TLSPH) is one variant of SPH where the variables are described using the fixed reference configuration and a Lagrangian smoothing kernel. TLSPH elevates the computational efficiency of the…

Numerical Analysis · Mathematics 2024-09-05 I. M. Wiragunarsa , L. R. Zuhal , T. Dirgantara , I. S. Putra , E. Febrianto

A method to avoid the explicit time integration of small dust grains in the two fluid gas/dust smoothed particle hydrodynamics (SPH) approach is proposed. By assuming a very simple exponential decay model for the relative velocity between…

Earth and Planetary Astrophysics · Physics 2016-03-02 Pablo Loren-Aguilar , Matthew R. Bate

We present pkdgrav3, a high-performance, fully parallel tree-SPH code designed for large-scale hydrodynamic simulations including self-gravity. Building upon the long development history of pkdgrav, the code combines an efficient…

Earth and Planetary Astrophysics · Physics 2026-05-14 Thomas Meier , Douglas Potter , Christian Reinhardt , Joachim Stadel

In this paper we investigate whether Smoothed Particle Hydrodynamics (SPH), equipped with artificial conductivity, is able to capture the physics of density/energy discontinuities in the case of the so-called shearing layers test, a test…

Astrophysics of Galaxies · Physics 2015-05-19 Sander Valcke , Sven De Rijcke , Elke Roediger , Herwig Dejonghe

For the past 20 years, our approach to shock capturing in smoothed particle hydrodynamics (SPH) has been to use artificial viscosity and conductivity terms supplemented by switches to control excess dissipation away from shocks (Monaghan…

Instrumentation and Methods for Astrophysics · Physics 2024-07-16 Daniel J. Price