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A basic shallow water system with variable topography is analyzed from the point of view of a Lagrangian derivation of momentum, energy, and pseudomomentum balances. A two-dimensional action and associated momentum equation are derived. The…

流体动力学 · 物理学 2023-03-07 J. A. Hanna

There has been interest in recent years to assess the ability of astrophysical hydrodynamics codes to correctly model the Kelvin-Helmholtz instability. Smoothed particle hydrodynamics (SPH), in particular, has received significant…

天体物理仪器与方法 · 物理学 2019-09-10 Terrence S. Tricco

In this paper we develop a new Peridynamic approach that naturally includes varying horizon sizes and completely solves the "ghost force" issue. Therefore, the concept of dual-horizon is introduced to consider the unbalanced interactions…

计算物理 · 物理学 2016-09-12 Huilong Ren , Xiaoying Zhuang , Yongchang Cai , Timon Rabczuk

A highly adaptive load balancing algorithm for parallel simulations using particle methods, such as molecular dynamics and smoothed particle hydrodynamics (SPH), is developed. Our algorithm is based on the dynamic spatial decomposition of…

计算物理 · 物理学 2018-11-14 M. S. Egorova , S. A. Dyachkov , A. N. Parshikov , V. V. Zhakhovsky

We present a new formulation of the equations of motion used in smoothed particle hydrodynamics (SPH). The spatial resolution in SPH is determined by the smoothing length, $h$, and it has become common practice for each particle to be given…

天体物理学 · 物理学 2015-06-24 Richard P. Nelson , John C. B. Papaloizou

This paper addresses a class of general nonsmooth and nonconvex composite optimization problems subject to nonlinear equality constraints. We assume that a part of the objective function and the functional constraints exhibit local…

最优化与控制 · 数学 2025-03-04 Lahcen El Bourkhissi , Ion Necoara , Panagiotis Patrinos , Quoc Tran-Dinh

Using collision driven molecular dynamics a system of spherical particles interacting through an effective two length scales potential is studied. The potential can be tuned by means of a single parameter, $\lambda$, from a ramp…

软凝聚态物质 · 物理学 2009-01-02 Alan Barros de Oliveira , Paulo A. Netz , Marcia C. Barbosa

A family of conservative schemes for the axisymmetric contact smoothed particle hydrodynamics (CSPH) method, which ensure the accuracy and stability in modeling of complex multi-material flows of compressible media, is introduced. Among…

计算物理 · 物理学 2025-07-09 G. D. Rublev

Smoothed particle hydrodynamics (SPH) method has been increasingly used for simulating fluid flows, however its ability to simulate evaporating flow requires significant improvements. This paper proposes an SPH method for evaporating…

计算物理 · 物理学 2017-09-20 Xiufeng Yang , Song-Charng Kong

We review recent advances in the study of binary star formation that have been made using the smoothed particle hydrodynamics (SPH) technique. We discuss the importance of ensuring that the Jeans mass is always resolved during a…

天体物理学 · 物理学 2007-05-23 Matthew R. Bate

Many additive manufacturing (AM) technologies rely on powder feedstock, which is fused to form the final part either by melting or by chemical binding with subsequent sintering. In both cases, process stability and resulting part quality…

计算工程、金融与科学 · 计算机科学 2022-01-25 Sebastian L. Fuchs , Patrick M. Praegla , Christian J. Cyron , Wolfgang A. Wall , Christoph Meier

Studying compact star binaries and their mergers is integral to determining progenitors for observable transients. Today, compact-star mergers are typically studied via state-of-the-art computational fluid dynamics codes. One such numerical…

天体物理仪器与方法 · 物理学 2023-07-26 M. Alexander R. Kaltenborn , Michael J. Falato , Oleg Korobkin , Irina Sagert , Wesley P. Even

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the…

数值分析 · 数学 2022-02-11 Vladimír Lukeš , Eduard Rohan

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…

计算物理 · 物理学 2021-07-28 Xiufeng Yang , Song-Charng Kong , Moubin Liu , Qingquan Liu

Our recent numerical studies on cryogenic liquid helium-4 highlight key features of multiscale physics that can be captured using the two-fluid model. In this paper, we demonstrated that classical and quantum hydrodynamic two-fluid models…

流体动力学 · 物理学 2025-06-12 Satori Tsuzuki

Particle shifting techniques (PST) have been used to improve the accuracy of the Smoothed Particle Hydrodynamics (SPH) method. Shifting ensures that the particles are distributed homogeneously in space. This may be performed by moving the…

流体动力学 · 物理学 2022-03-15 Dinesh Adepu , Prabhu Ramachandran

The immersed boundary method is a mathematical framework for modeling fluid-structure interaction. This formulation describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form, and it uses…

The axisymmetric form of the hydrodynamic equations within the smoothed particle hydrodynamics (SPH) formalism is presented and checked using idealized scenarios taken from astrophysics (free fall collapse, implosion and further pulsation…

天体物理学 · 物理学 2009-11-13 D. Garcia-Senz , A. Relano , R. M. Cabezon , E. Bravo

This paper proposes a novel approach to solving nonlinear programming problems using a sharp augmented Lagrangian method with a smoothing technique. Traditional sharp augmented Lagrangian methods are known for their effectiveness but are…

最优化与控制 · 数学 2024-10-07 José Luis Romero , Damián Fernandez , Germán Ariel Torres

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,…

流体动力学 · 物理学 2025-08-20 Riley M Whebell , Timothy J Moroney , Ian W Turner , Ravindra Pethiyagoda , Scott W McCue
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