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The ability to predict patient-specific soft tissue deformations is key for computer-integrated surgery systems and the core enabling technology for a new era of personalized medicine. Element-Free Galerkin (EFG) methods are better suited…

The Weakly-Compressible Smoothed Particle Hydrodynamics (WCSPH) method is a Lagrangian method that is typically used for the simulation of incompressible fluids. While developing an SPH-based scheme or solver, researchers often verify their…

流体动力学 · 物理学 2022-01-14 Pawan Negi , Prabhu Ramachandran

For an accurate description of electromagneto-thermomechanical systems, electromagnetic fields need to be described in a Eulerian frame, whereby the thermomechanics is solved in a Lagrangean frame. It is possible to map the Eulerian frame…

计算工程、金融与科学 · 计算机科学 2019-06-05 B. E. Abali , A. F. Queiruga

There have been some issues in the past in attempts to simulate magnetic fields using the Smoothed Particle Hydrodynamics (SPH) method. SPH is well suited to star formation problems because of its Lagrangian nature. We present new, stable…

天体物理学 · 物理学 2009-11-10 D. J. Price , J. J. Monaghan

We develop a computational method based on an Eulerian field called the "reference map", which relates the current location of a material point to its initial. The reference map can be discretized to permit finite-difference simulation of…

软凝聚态物质 · 物理学 2009-05-07 Ken Kamrin , Jean-Christophe Nave

In this book chapter we describe the {\em Lagrangian} numerical relativity code \sphi. This code evolves spacetimes in full General Relativity by integrating the BSSN equations on structured meshes with a simple dynamical mesh refinement…

广义相对论与量子宇宙学 · 物理学 2024-05-22 S. Rosswog , P. Diener

The Eulerian-Lagrangian approach based on Large-Eddy Simulation (LES) is one of the most promising and viable numerical tools to study turbulent dispersed flows when the computational cost of Direct Numerical Simulation (DNS) becomes too…

流体动力学 · 物理学 2017-06-02 Alessio Innocenti , Cristian Marchioli , Sergio Chibbaro

We present a computational framework for the simulations of powder-bed fusion of metallic alloys, which combines: (1) CalPhaD calculations of temperature-dependent alloy properties and phase diagrams, (2) macroscale finite element (FE)…

材料科学 · 物理学 2022-05-10 S. M. Elahi , R. Tavakoli , A. K. Boukellal , T. Isensee , I. Romero , D. Tourret

Model Order Reduction (MOR) based on Proper Orthogonal Decomposition (POD) and Smooth Particle Hydrodynamics (SPH) has proven effective in various applications. Most MOR methods utilizing POD are implemented within a pure Eulerian…

计算物理 · 物理学 2025-08-04 Lidong Fang , Zilong Song , Kirk Fraser , Huaxiong Huang

Digital image inpainting refers to techniques used to reconstruct a damaged or incomplete image by exploiting available image information. The main goal of this work is to perform the image inpainting process from a set of sparsely…

图像与视频处理 · 电气工程与系统科学 2021-08-25 Viktor Daropoulos , Matthias Augustin , Joachim Weickert

To study the resolution required for simulating gravitational fragmentation with newly developed Lagrangian hydrodynamic schemes, Meshless Finite Volume method (MFV) and Meshless Finite Mass method (MFM), we have performed a number of…

天体物理仪器与方法 · 物理学 2021-04-28 Yasuyoshi Yamamoto , Takashi Okamoto , Takayuki R. Saitoh

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian method for solving the fluid equations that is commonplace in astrophysics, prized for its natural adaptivity and stability. The choice of variable to smooth in SPH has been the topic of…

星系天体物理 · 物理学 2021-05-26 Josh Borrow , Matthieu Schaller , Richard G. Bower

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

材料科学 · 物理学 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

Numerical simulations of the air in the atmosphere and water in the oceans are essential for numerical weather prediction. The state-of-the-art for performing these fluid simulations relies on an Eulerian viewpoint, in which the fluid…

流体动力学 · 物理学 2025-08-12 Philip Caplan , Otis Milliken , Toby Pouler , Zeyi Tong , Col McDermott , Sam Millay

Although the influence of magnetic fields is regarded as vital in the star formation process, only a few magnetohydrodynamics (MHD) simulations have been performed on this subject within the smoothed particle hydrodynamics (SPH) method.…

太阳与恒星天体物理 · 物理学 2015-05-19 Florian Bürzle , Paul C. Clark , Federico Stasyszyn , Thomas Greif , Klaus Dolag , Ralf S. Klessen , Peter Nielaba

This article introduces a new efficient particle method for the numerical simulation of crystallization and precipitation at the pore scale of real rock geometries extracted by X-Ray tomography. It is based on the coupling between…

计算工程、金融与科学 · 计算机科学 2025-03-11 Sarah Perez , Jean-Matthieu Etancelin , Philippe Poncet

The numerical convergence of smoothed particle hydrodynamics (SPH) can be severely restricted by random force errors induced by particle disorder, especially in shear flows, which are ubiquitous in astrophysics. The increase in the number…

天体物理仪器与方法 · 物理学 2015-06-04 Walter Dehnen , Hossam Aly

Meshfree particle methods, such as Smoothed Particle Hydrodynamics (SPH) and the Moving Particle Semi-Implicit (MPS) method, are widely used to simulate complex free-surface and multiphase flows. A key challenge in these methods is the…

计算物理 · 物理学 2025-10-22 Nariman Mehranfar , Ahmad Shakibaeinia

Most research on the simulation of deformation and failure of metals has been and continues to be performed using the finite element method. However, the issues of mesh entanglement under large deformation, considerable complexity in…

计算物理 · 物理学 2012-01-13 Biswajit Banerjee

In this paper we present results from a series of hydrodynamical tests aimed at validating the performance of a smoothed particle hydrodynamics (SPH) formulation in which gradients are derived from an integral approach. We specifically…

天体物理仪器与方法 · 物理学 2016-11-09 R. Valdarnini