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We introduce adaptive particle refinement for compressible smoothed particle hydrodynamics (SPH). SPH calculations have the natural advantage that resolution follows mass, but this is not always optimal. Our implementation allows the user…

Instrumentation and Methods for Astrophysics · Physics 2024-09-19 Rebecca Nealon , Daniel Price

In this paper we construct a novel technique for eliminating and recovering the pressure for a fluid-structure interaction model. This pressure elimination methodology is valid for general bounded Lipschitz domains. The specific…

Analysis of PDEs · Mathematics 2026-01-27 George Avalos , Yuhao Mu

We introduce a simple and efficient algorithm for diffusion in smoothed particle hydrodynamics (SPH) simulations and apply it to the problem of chemical mixing. Based on the concept of turbulent diffusion, we link the diffusivity of a…

Astrophysics · Physics 2009-11-13 Thomas H. Greif , Simon C. O. Glover , Volker Bromm , Ralf S. Klessen

This work addresses research questions arising from the application of geometrically exact beam theory in the context of fluid-structure interaction (FSI). Geometrically exact beam theory has proven to be a computationally efficient way to…

Computational Engineering, Finance, and Science · Computer Science 2022-07-13 Nora Hagmeyer , Matthias Mayr , Ivo Steinbrecher , Alexander Popp

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear…

Numerical Analysis · Mathematics 2015-10-28 Martina Bukac , Suncica Canic , Roland Glowinski , Boris Muha , Annalisa Quaini

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

Modern graphics processing units (GPUs) lead to a major increase in the performance of the computation of astrophysical simulations. Owing to the different nature of GPU architecture compared to traditional central processing units (CPUs)…

Earth and Planetary Astrophysics · Physics 2016-04-13 Christoph M. Schäfer , Sven Riecker , Thomas I. Maindl , Roland Speith , Samuel Scherrer , Wilhelm Kley

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

We describe a new algorithm for the integration of self-gravitating fluid systems using SPH method. We split the Hamiltonian of a self-gravitating fluid system to the gravitational potential and others (kinetic and internal energies) and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Takayuki R. Saitoh , Junichiro Makino

Accurate simulation of blood flow in deformable vessels is critical in cardiovascular research for understanding disease progression and informing clinical decision-making. However, due to the thin-walled nature of arteries, traditional…

Computational Engineering, Finance, and Science · Computer Science 2026-01-05 Chenxi Zhao , Dong Wu , Weiyi Kong , Oskar J. Haidn , Xiangyu Hu

Solving fluid-structure interaction (FSI) problems when the densities are similar (large added mass), such as in hemodynamics, is challenging since the stability and convergence of the adopted numerical scheme could be compromised. In…

Numerical Analysis · Mathematics 2025-11-04 Francesca Renzi , Christian Vergara

In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH) method. The algorithm uses dissipative…

Astrophysics · Physics 2009-11-13 D. J. Price , J. J. Monaghan

Modulating the number of particles in a region is key to accurately capturing the nuances in compressible flows with Smoothed Particle Hydrodynamics (SPH). This paper presents a volume-based adaptive refinement and derefinement procedure,…

Fluid Dynamics · Physics 2025-08-08 Navaneet Villodi , Prabhu Ramachandran

The method of Smoothed Particle Hydrodynamics (SPH) has been widely studied and implemented for a large variety of problems, ranging from astrophysics to fluid dynamics and elasticity problems in solids. However, the method is known to have…

Instrumentation and Methods for Astrophysics · Physics 2013-10-16 Ruslan F. Gabbasov , Jaime Klapp-Escribano , Joel Suarez-Cansino , Leonardo Di G. Sigalotti

We develop a numerical method for simulating coupled interactions of complex floating structures with large-scale ocean waves and atmospheric turbulence. We employ an efficient large-scale model to develop offshore wind and wave…

Fluid Dynamics · Physics 2016-05-06 Antoni Calderer , Xin Guo , Lian Shen , Fotis Sotiropoulos

In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid-structure interaction with stochastic noise. We focus on a benchmark problem in stochastic fluid-structure interaction, and prove…

Analysis of PDEs · Mathematics 2022-03-31 Jeffrey Kuan , Sunčica Čanić

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…

Computational Physics · Physics 2025-07-09 G. D. Rublev

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…

For turbulent bubbly flows, multi-phase simulations resolving both the liquid and bubbles are prohibitively expensive in the context of different natural phenomena. One example is breaking waves, where bubbles strongly influence wave impact…

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid--structure interaction (FSI) problems using a matrix-free finite element method in arbitrary Lagrangian--Eulerian (ALE) frame of reference. We…

Numerical Analysis · Mathematics 2023-11-30 Michał Wichrowski , Piotr Krzyżanowski , Luca Heltai , Stanisław Stupkiewicz