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Particle-based boundary representations are frequently used in Smoothed Particle Hydrodynamics (SPH) due to their simple integration into fluid solvers. Commonly, incompressible fluid solvers estimate the current density and corresponding…

图形学 · 计算机科学 2023-06-22 Rustam Akhunov , Andreas Kolb

We present a novel technique for imposing non-linear entropy conservative and entropy stable wall boundary conditions for the resistive magnetohydrodynamic equations in the presence of an adiabatic wall or a wall with a prescribed heat…

数值分析 · 数学 2025-06-19 Vladimir Pimanov , Lisandro Dalcin , Matteo Parsani

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…

流体动力学 · 物理学 2010-09-17 G. Lanzafame

It is well known that in the computational fluid dynamics simulations related to the cardiovascular system the enforcement of outflow boundary conditions is a crucial point. In fact, they highly affect the computed flow and a wrong setup…

流体动力学 · 物理学 2025-03-05 Zahra Mirzaiyan , Michele Girfoglio , Gianluigi Rozza

In this paper, we propose a numerical method to approximate the solution of partial differential equations in irregular domains with no-flux boundary conditions by means of spectral methods. The main features of this method are its…

数值分析 · 数学 2007-05-23 Alfonso Bueno-Orovio , Victor M. Perez-Garcia , Flavio H. Fenton

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 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…

流体动力学 · 物理学 2024-11-22 Zhentong Wang , Oskar J. Haidn , Xiangyu Hu

Smoothed particle hydrodynamics (SPH) is developed for modelling of melting and solidification. Enthalpy method is used to solve heat conduction equations which involved moving interface between phases. At first, we study the melting of…

流体动力学 · 物理学 2016-02-23 Dede Tarwidi

Maintaining a comfortable temperature inside a building requires appropriate thermal insulation of windows, which can be optimised iteratively with numerical simulation. Smoothed particle hydrodynamics(SPH) is a fully Lagrangian method…

计算工程、金融与科学 · 计算机科学 2025-01-16 Haotian Ji , Dong Wu , Chi Zhang , Xiangyu Hu

Periodic Boundary Conditions (PBC) introduce well-known lattice artifacts. We present a novel Pseudoperiodic Spherical Boundary Condition (SBC) that is perfectly isotropic. Through detailed comparative simulations, we demonstrate that SBC…

软凝聚态物质 · 物理学 2025-07-11 Manuel Dedola , Ludovico Cademartiri

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods.…

流体动力学 · 物理学 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

We derive new boundary conditions and implementation procedures for nonlinear initial boundary value problems that lead to energy and entropy bounded solutions. A step-by-step procedure for general nonlinear hyperbolic problems on…

数值分析 · 数学 2024-05-10 Jan Nordström

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

数值分析 · 数学 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

We study the weak steady Stokes problem, associated with a flow of a Newtonian incompressible fluid through a spatially periodic profile cascade, in the Lr-framework. The used mathematical model is based on the reduction to one spatial…

偏微分方程分析 · 数学 2020-12-18 Tomáš Neustupa

In this paper, we propose an alternative approach to implement the contact angle boundary condition on immersed surfaces for phase-field simulations of two-phase flows using the Cahn-Hilliard equation on a Cartesian mesh. This simple and…

计算物理 · 物理学 2016-10-25 Jun-Jie Huang , Jie Wu

The Cahn-Hilliard equation is the most common model to describe phase separation processes of a mixture of two components. For a better description of short-range interactions of the material with the solid wall, various dynamic boundary…

偏微分方程分析 · 数学 2020-10-20 Harald Garcke , Patrik Knopf

We present a method to impose linear shear flow in discrete-velocity kinetic models of hydrodynamics through the use of sliding periodic boundary conditions. Our method is derived by an explicit coarse-graining of the Lees-Edwards boundary…

软凝聚态物质 · 物理学 2007-05-23 R. Adhikari , J. -C. Desplat , K. Stratford

In this study, a linear stability analysis is performed for different Weakly Compressible Smooth Particle Hydrodynamics (WCSPH) methods on a 1D periodic domain describing an incompressible base flow. The perturbation equation can be…

计算物理 · 物理学 2019-06-20 Geoffroy Chaussonnet , Rainer Koch , Hans-Joerg Bauer

We present an explicit finite difference method to simulate the non-ideal multi-phase fluid flow. The local density and the momentum transport are modeled by the Navier-Stokes (N-S) equations and the pressure is computed by the Van der…

流体动力学 · 物理学 2023-07-12 Chunheng Zhao , Alexandre Limare , Stephane Zaleski

A direct method for the bound states and the low energy scattering from a circular and a spherical delta shell potentials is proposed and the results are compared with the one using the standard partial wave analysis developed for…

数学物理 · 物理学 2022-03-08 Fatih Erman , Sema Seymen