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The Lattice Boltzmann Method (LBM) is a computational technique of Computational Fluid Dynamics (CFD) that has gained popularity due to its high parallelism and ability to handle complex geometries with minimal effort. Although LBM…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-26 Luigi Crisci , Biagio Cosenza , Giorgio Amati , Matteo Turisini

A fundamental step in the rational design of vascular targeted particles is the firm adhesion at the blood vessel walls. Here, a combined Lattice Boltzmann Immersed Boundary model is presented for predicting the near wall dynamics of…

Fluid Dynamics · Physics 2018-08-07 A. Coclite , H. Mollica , S. Ranaldo , G. Pascazio , M. D. De Tullio , P. Decuzzi

Fluctuating hydrodynamics based techniques have been developed in recent years for the simulation of Brownian motion of particles. These mesoscale simulation tools are viable approaches for problems where molecular dynamics simulations may…

Fluid Dynamics · Physics 2014-02-11 Yong Chen , Neelesh A. Patankar

The plasma edge flow, situated at the intricate boundary between plasma and neutral particles, plays a pivotal role in the design of nuclear fusion devices such as divertors and pumps. Traditional numerical simulation methods, such as the…

Computational Physics · Physics 2024-11-14 Yifan Wen , Yanbing Zhang , Lei Wu

Second-order elliptic boundary-value problems defined on curved domains in 2D and 3D arise frequently in practice. A lot of work has gone into developing numerical methods for solving such problems. One of the newest and most promising…

Numerical Analysis · Mathematics 2025-08-25 Aussie Greene , Larry L. Schumaker

The Immersed Boundary (IB) method of Peskin (J. Comput. Phys., 1977) is useful for problems involving fluid-structure interactions or complex geometries. By making use of a regular grid that is independent of the geometry, the IB framework…

Numerical Analysis · Mathematics 2022-10-17 Brittany J. Leathers

Polymer dynamics in a turbulent flow is a problem spanning several orders of magnitude of length and time scales. A microscopic simulation covering all those scales from the polymer segment to the inertial scale of turbulence seems…

Statistical Mechanics · Physics 2008-09-30 Jonghoon Lee , Burkhard Duenweg , Joerg Schumacher

We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic…

Computational Physics · Physics 2020-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this…

Numerical Analysis · Mathematics 2021-08-04 Xiaodong Wei , Benjamin Marussig , Pablo Antolin , Annalisa Buffa

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

Fluid flow simulation is a highly active area with applications in a wide range of engineering problems and interactive systems. Meshless methods like the Moving Particle Semi-implicit (MPS) are a great alternative to deal efficiently with…

We present a new computational method by extending the Immersed Boundary (IB) method with a spectrally-accurate geometric model based on Radial Basis Function (RBF) interpolation of the Lagrangian structures. Our specific motivation is the…

Numerical Analysis · Mathematics 2015-05-27 Varun Shankar , Grady B. Wright , Robert M. Kirby , Aaron L. Fogelson

The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

Numerical Analysis · Mathematics 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

We present an accurate Lagrangian method based on vortex particles, level-sets, and immersed boundary methods, for animating the interplay between two fluids and rigid solids. We show that a vortex method is a good choice for simulating…

Numerical Analysis · Mathematics 2016-08-16 Mathieu Coquerelle , Jérémie Allard , Georges-Henri Cottet , Marie-Paule Cani

In this paper, we propose a hybrid lattice Boltzmann method (HLBM) for solving fluid-structure interaction problems. The proposed numerical approach is applied to model the flow induced by a vibrating thin lamina submerged in a viscous…

Computational Physics · Physics 2020-06-25 Giovanni Di Ilio , Daniele Chiappini , Stefano Ubertini , Gino Bella , Sauro Succi

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within…

Computational Physics · Physics 2021-01-20 Jianhua Qin , Ebrahim M. Kolahdouz , Boyce E. Griffith

Heterogeneous multiscale methods (HMM) combine molecular accuracy of particle-based simulations with the computational efficiency of continuum descriptions to model flow in soft matter liquids. In these schemes, molecular simulations…

Robustly handling collisions between individual particles in a large particle-based simulation has been a challenging problem. We introduce particle merging-and-splitting, a simple scheme for robustly handling collisions between particles…

Graphics · Computer Science 2021-07-20 Nghia Truong , Cem Yuksel , Chakrit Watcharopas , Joshua A. Levine , Robert M. Kirby

A hybrid computational method coupling the lattice-Boltzmann (LB) method and a Langevin-dynamics (LD) method is developed to simulate nanoscale particle and polymer (NPP) suspensions in the presence of both thermal fluctuation and…

Computational modeling and simulation of fluid-structure interactions constitute a fundamental cornerstone for advancing aerospace engineering endeavors. This paper addresses the notion and implementation of the immersed boundary method for…

Computational Physics · Physics 2025-12-24 Longqing Ge , Qingdong Cai , Yonghao Zhang , Tianbai Xiao