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In this paper, we present a new formulation of smoothed particle hydrodynamics (SPH), which, unlike the standard SPH (SSPH), is well-behaved at the contact discontinuity. The SSPH scheme cannot handle discontinuities in density (e.g. the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Satoko Yamamoto , Takayuki R. Saitoh , Junichiro Makino

We present REMIX, a smoothed particle hydrodynamics (SPH) scheme designed to alleviate effects that typically suppress mixing and instability growth at density discontinuities in SPH simulations. We approach this problem by directly…

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

Lagrangian smoothed particle hydrodynamics (SPH) is a well-established approach to model fluids in astrophysical problems, thanks to its geometric flexibility and ability to automatically adjust the spatial resolution to the clumping of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 S. Hess , V. Springel

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…

Numerical Analysis · Mathematics 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

The study of the shape of droplets on surfaces is an important problem in the physics of fluids and has applications in multiple industries, from agrichemical spraying to microfluidic devices. Motivated by these real-world applications,…

It is significantly challenging to obtain accurate contact forces in peridynamics (PD) simulations due to the difficulty of surface particles identification, particularly for complex geometries. Here, an improved point-to-surface contact…

Computational Engineering, Finance, and Science · Computer Science 2025-06-19 Haoran Zhang , Lisheng Liu , Xin Lai , Jun Li

The standard formulation of the smoothed particle hydrodynamics (SPH) assumes that the local density distribution is differentiable. This assumption is used to derive the spatial derivatives of other quantities. However, this assumption…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Takayuki R. Saitoh , Junichiro Makino

A simple free-surface particle detection method for two and three-dimensional SPH simulation has been implemented. The method uses sphere representation for the SPH particle. The fluid domain is covered by overlapping spheres. A sphere…

Fluid Dynamics · Physics 2013-09-18 Agra Barecasco , Hanifa Terissa , Christian Fredy Naa

In this paper, we applied an improved Smoothing Particle Hydrodynamics (SPH) method by using gradient kernel renormalization in three-dimensional cases. The purpose of gradient kernel renormalization is to improve the accuracy of numerical…

Fluid Dynamics · Physics 2013-09-17 Rizal Dwi Prayogo , Christian Fredy Naa

A numerical method based on smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) was developed for simulating free surface flows. This method can reduce the computational demands while maintaining the numerical…

Computational Physics · Physics 2021-07-28 Xiufeng Yang , Song-Charng Kong , Moubin Liu , Qingquan Liu

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

We present a fully analytic approach for evaluating boundary integrals in two dimensions for Smoothed Particle Hydrodynamics (SPH). Conventional methods often rely on boundary particles or wall re-normalization approaches derived from…

Numerical Analysis · Mathematics 2025-07-30 Rene Winchenbach , Andreas Kolb

Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) method has experienced a tremendous enhancement in methodology and impacted a range of multi-physics applications in science and engineering. The paper…

Computational Physics · Physics 2024-05-24 Chi Zhang , Yujie Zhu , Dong Wu , Xiangyu Hu

The unavailability of accurate boundary treatment methods for compressible Smoothed Particle Hydrodynamics (SPH) severely limits its ability to simulate flows in and around bodies. To this end, challenges specific to compressible flows with…

Fluid Dynamics · Physics 2024-08-27 Navaneet Villodi , Prabhu Ramachandran

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…

Fluid Dynamics · Physics 2023-06-06 Rubens Augusto Amaro Junior , Liang-Yee Cheng , Sergei K. Buruchenko

Graphics research on Smoothed Particle Hydrodynamics (SPH) has produced fantastic visual results that are unique across the board of research communities concerned with SPH simulations. Generally, the SPH formalism serves as a spatial…

Graphics · Computer Science 2020-09-16 Dan Koschier , Jan Bender , Barbara Solenthaler , Matthias Teschner

Hybrid particle-field methods are computationally efficient approaches for modelling soft matter systems. So far applications of these methodologies have been limited to constant volume conditions. Here, we reformulate particle-field…

Fluid-Structure Interaction (FSI) is a crucial problem in ocean engineering. The smoothed particle hydrodynamics (SPH) method has been employed recently for FSI problems in light of its Lagrangian nature and its advantage in handling…

Fluid Dynamics · Physics 2023-07-19 Tianrun Gao , Huihe Qiu , Lin Fu

Smoothed particle hydrodynamics (SPH) has been extensively studied in computer graphics to animate fluids with versatile effects. However, SPH still suffers from two numerical difficulties: the particle deficiency problem, which will…

Graphics · Computer Science 2020-01-29 Xiaowei He , Huamin Wang , Guoping Wang , Hongan Wang , Enhua Wu