A note on pressure accuracy in immersed boundary method for Stokes flow

DOI10.1016/j.jcp.2011.03.019zbMath1416.76098OpenAlexW1968370876MaRDI QIDQ550882

Ko-An Feng, Ming-Chih Lai, Yongsam Kim, Kuan-Yu Chen

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.019

zbMATH Keywords

Stokes flowimmersed boundary methoddiscrete delta functionpressure accuracy

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Finite difference methods for boundary value problems involving PDEs (65N06) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (9)

An immersed boundary projection method for incompressible interface simulations in 3D flows ⋮ A stable and accurate immersed boundary method for simulating vesicle dynamics via spherical harmonics ⋮ A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant ⋮ Numerical simulations of three-dimensional foam by the immersed boundary method ⋮ A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion equations and high-order discontinuous Galerkin schemes ⋮ A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions ⋮ On convergence of the immersed boundary method for elliptic interface problems ⋮ Some new analysis results for a class of interface problems ⋮ Controlling droplet bouncing and coalescence with surfactant

Uses Software

• FISHPAK

Cites Work

• A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations
• A simple implementation of the immersed interface methods for Stokes flows with singular forces
• A front-tracking method for viscous, incompressible multi-fluid flows
• Numerical analysis of blood flow in the heart
• Numerical approximations of singular source terms in differential equations
• The Method of Regularized Stokeslets
• The immersed boundary method
• Convergence proof of the velocity field for a stokes flow immersed boundary method
• Analysis of a One-Dimensional Model for the Immersed Boundary Method
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The Immersed Interface Method

This page was built for publication: A note on pressure accuracy in immersed boundary method for Stokes flow