An analysis of the numerical stability of the immersed boundary method

DOI10.1016/j.jcp.2022.111435OpenAlexW3216025946WikidataQ113871676 ScholiaQ113871676MaRDI QIDQ2162018

Mengjian Hua, Charles S. Peskin

Publication date: 5 August 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15065

zbMATH Keywords

stability analysisFourier analysisband-limited functionsimmersed boundary methodregularized delta functiontarget point method

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)

Related Items (3)

Assessment of volume penalization and immersed boundary methods for compressible flows with various thermal boundary conditions ⋮ A semi-implicit semi-Lagrangian method for simulating immersed boundary motion under high inertia and elasticity ⋮ A sharp interface Lagrangian-Eulerian method for flexible-body fluid-structure interaction

Cites Work

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• Well‐Posedness and Global Behavior of the Peskin Problem of an Immersed Elastic Filament in Stokes Flow
• NUMERICAL STABILITY OF THE FINITE ELEMENT IMMERSED BOUNDARY METHOD
• $L^p$ Convergence of the Immersed Boundary Method for Stationary Stokes Problems

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