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Eulerian smoothed particle hydrodynamics (Eulerian SPH) is considered as a potential meshless alternative to a traditional Eulerian mesh-based method, i.e. finite volume method (FVM), in computational fluid dynamics (CFD). While researchers…

流体动力学 · 物理学 2023-09-06 Zhentong Wang , Chi Zhang , Oskar J. Haidn , Nikolaus A. Adams , Xiangyu Hu

Accurate, global Potential Energy Surfaces (PES) expressed in sum-of-products (SOP) form are a prerequisite for efficient high-dimensional quantum dynamics simulations using the MCTDH method. This work introduces a methodology for…

化学物理 · 物理学 2026-03-31 Antoine Aerts

High-order quadrilateral meshes offer superior accuracy and computational efficiency in numerical simulations. However, existing methods struggle to simultaneously preserve boundary/interface features, ensure high quality, and achieve…

图形学 · 计算机科学 2026-03-25 Yongjia Weng , Lufeng Liu , Zhonggui Chen , Xuan Zhou , Juan Cao

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

In this work, we present the computational simulations of holographic metasurfaces to generation of the optical non-diffracting beams. The metasurfaces are designed by the holographic technique and the computer-generated holograms (CGHs) of…

光学 · 物理学 2020-10-22 Santiago R. C. Fernandez , Marcos R. R. Gesualdi

We present an implementation of smoothed particle hydrodynamics (SPH) with improved accuracy for simulations of galaxies and the large-scale structure. In particular, we combine, implement, modify and test a vast majority of SPH improvement…

宇宙学与河外天体物理 · 物理学 2015-10-21 A. M. Beck , G. Murante , A. Arth , R. -S. Remus , A. F. Teklu , J. M. F. Donnert , S. Planelles , M. C. Beck , P. Foerster , M. Imgrund , K. Dolag , S. Borgani

For most finite element simulations, boundary-conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a…

数值分析 · 数学 2021-04-07 Jan Helmig , Fabian Key , Marek Behr , Stefanie Elgeti

We present a formulation of smoothed particle hydrodynamics (SPH) that utilizes a first-order consistent reproducing kernel, a smoothing function that exactly interpolates linear fields with particle tracers. Previous formulations using…

计算物理 · 物理学 2024-08-22 Nicholas Frontiere , Cody D. Raskin , J. Michael Owen

Smoothed particle hydrodynamics (SPH) discretization techniques are generalized to develop a method, smoothed particle interpolation (SPI), for solving initial value problems of systems of non-hydrodynamical nature. Under this approach, SPH…

天体物理学 · 物理学 2009-10-22 Pablo Laguna

As the most common representation for 3D shapes, mesh is often stored discretely with arrays of vertices and faces. However, 3D shapes in the real world are presented continuously. In this paper, we propose to learn a continuous…

计算机视觉与模式识别 · 计算机科学 2023-01-13 Zhongpai Gao

We present a framework to generate watertight mesh representations in an unsupervised manner from noisy point clouds of complex, heterogeneous objects with free-form surfaces. The resulting meshes are ready to use in applications like…

机器人学 · 计算机科学 2016-09-06 Tobias Fromm , Christian A. Mueller , Andreas Birk

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

We introduce a modified SPH approach that is based on discretising the particle density instead of the mass density. This approach makes it possible to use SPH particles with very different masses to simulate multi-phase flows with large…

计算物理 · 物理学 2016-09-08 Frank Ott , Erik Schnetter

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

流体动力学 · 物理学 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive…

图形学 · 计算机科学 2026-02-03 Ruiqi Zhang , Jiacheng Wu , Jie Chen

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

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

We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

计算几何 · 计算机科学 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever

In this paper, a Feature-preserving Particle Generation (FPPG) method for arbitrary complex geometry is proposed. Instead of basing on implicit geometries, such as level-set, FPPG employs an explicit geometric representation for the…

计算物理 · 物理学 2025-01-07 Xingyue Yang , Zhenxiang Nie , Yuxin Dai , Zhe Ji

Graph-structured data is ubiquitous in scientific domains, where models often face imbalanced learning settings. In imbalanced regression, domain preferences focus on specific target value ranges that represent the most scientifically…

机器学习 · 计算机科学 2025-07-15 Brenda Nogueira , Gabe Gomes , Meng Jiang , Nitesh V. Chawla , Nuno Moniz