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This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

数值分析 · 数学 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

Fluid-structure interactions are central to many bio-molecular processes, and they impose a great challenge for computational and modeling methods. In this paper, we consider the immersed boundary method (IBM) for biofluid systems, and to…

数值分析 · 数学 2021-10-13 Yushuang Luo , Xiantao Li , Wenrui Hao

In this work, the Immersed Boundary Method (IBM) with feedback forcing introduced by Goldstein et al. (1993) and often referred in the literature as the Virtual Boundary Method (VBM), is addressed. The VBM has been extensively applied both…

数值分析 · 数学 2021-10-25 Michele Girfoglio , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

The construction of stable, conservative, and accurate volume dissipation is extended to discretizations that possess a generalized summation-by-parts (SBP) property within a tensor-product framework. The dissipation operators can be…

数值分析 · 数学 2026-03-19 Alex Bercik , David A. Craig Penner , David W. Zingg

This paper develops a computational framework with unfitted meshes to solve linear piezoelectricity and flexoelectricity electromechanical boundary value problems including strain gradient elasticity at infinitesimal strains. The high-order…

数值分析 · 数学 2020-10-08 David Codony , Onofre Marco , Sonia Fernández-Méndez , Irene Arias

The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy near embedded boundaries. In this paper, we introduce a new high-order…

数值分析 · 数学 2016-09-14 David B. Stein , Robert D. Guy , Becca Thomases

A volume penalization-based immersed boundary technique is developed and thoroughly validated for fluid flow problems, specifically flow over bluff bodies. The proposed algorithm has been implemented in an Open Source Field Operation and…

流体动力学 · 物理学 2023-09-19 Prashant Kumar , Vivek Kumar , Di Chen , Yosuke Hasegawa

Irregular terrain has a pronounced effect on the propagation of seismic and acoustic wavefields but is not straightforwardly reconciled with structured finite-difference (FD) methods used to model such phenomena. Methods currently detailed…

数值分析 · 数学 2023-09-08 Edward Caunt , Rhodri Nelson , Fabio Luporini , Gerard Gorman

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

流体动力学 · 物理学 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic trajectories and high-order spectral boundary conditions. Using…

偏微分方程分析 · 数学 2024-10-31 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

In this paper, we show that diagonal-norm summation by parts (SBP) discretizations of general non-conservative systems of hyperbolic balance laws can be rewritten as a finite-volume-type formula, also known as flux-differencing formula, if…

数值分析 · 数学 2022-11-28 Andrés M Rueda-Ramírez , Gregor J Gassner

We present a collocated-grid framework for Direct Numerical Simulations of polydisperse particles submerged in a viscous fluid. The fluid-particle forces are coupled with the Immersed Boundary Method (IBM) while the particle-particle forces…

This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The developed solver extends the existing IBM…

经典物理 · 物理学 2026-02-18 Punit Pandey , Ankit Bansal , Krishna Mohan Singh , Yannick Hoarau

The delta robot is becoming a popular choice for the mechanical design of fused filament fabrication 3D printers because it can reach higher speeds than traditional serial-axis designs. Like serial 3D printers, delta printers suffer from…

系统与控制 · 电气工程与系统科学 2023-03-02 Nosakhare Edoimioya , Cheng-Hao Chou , Chinedum E. Okwudire

A variety of numerical methods exist for the study of deformable particles in dense suspensions. None of the standard tools, however, currently include volume-changing objects such as oscillating microbubbles in three-dimensional periodic…

生物物理 · 物理学 2017-08-14 Achim Guckenberger , Stephan Gekle

A numerical tool relying on sharp Immersed Boundary Method (IBM) is developed for the analysis of aerospace applications. The method, which is conceived for application using segregated solvers relying on implicit time discretization, uses…

计算工程、金融与科学 · 计算机科学 2025-02-25 M. A. Chemak , E. Constant , M. Meldi

Learned B-frame video compression aims to adopt bi-directional motion estimation and motion compensation (MEMC) coding for middle frame reconstruction. However, previous learned approaches often directly extend neural P-frame codecs to…

图像与视频处理 · 电气工程与系统科学 2024-05-08 Chenming Xu , Meiqin Liu , Chao Yao , Weisi Lin , Yao Zhao

In so-called Lagrangian melting problems, a solid immersed in a fluid medium is free to rotate and translate in tandem with its phase-change from solid to liquid. Such configurations may be classified as a fluid-solid interaction (FSI)…

流体动力学 · 物理学 2025-01-16 Kevin Zhong , Christopher J. Howland , Detlef Lohse , Roberto Verzicco

Immersed boundary methods are extensively used for simulations of dynamic solid objects interacting with fluids due to their computational efficiency and modelling flexibility compared to body-fitted grid methods. However, thin geometries,…

流体动力学 · 物理学 2022-03-14 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

The interplay between concentration, flow, hydrodynamic interactions (HI), and topological interactions governing semidilute polymer dynamics in strong flows are challenging to characterize. Brownian dynamics (BD) simulations are…

流体动力学 · 物理学 2019-10-23 Charles D. Young , Charles E. Sing