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

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

*Corresponding author for this work

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

In this short note, we provide a simplified one-dimensional analysis and two-dimensional numerical experiments to predict that the overall accuracy for the pressure or indicator function in immersed boundary calculations is first-order accurate in L1 norm, half-order accurate in L2 norm, but has O(1) error in L norm. Despite the pressure has O(1) error near the interface, the velocity field still has the first-order convergence in immersed boundary calculations.

Original languageEnglish
Pages (from-to)4377-4383
Number of pages7
JournalJournal of Computational Physics
Volume230
Issue number12
DOIs
StatePublished - 1 Jan 2011

Keywords

  • Discrete delta function
  • Immersed boundary method
  • Pressure accuracy
  • Stokes flow

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