An extension of the immersed boundary method based on the distributed Lagrange multiplier approach

Yuri Feldman, Yosef Gulberg

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

An extended formulation of the immersed boundary method, which facilitates simulation of incompressible isothermal and natural convection flows around immersed bodies and which may be applied for linear stability analysis of the flows, is presented. The Lagrangian forces and heat sources are distributed on the fluid–structure interface. The method treats pressure, the Lagrangian forces, and heat sources as distributed Lagrange multipliers, thereby implicitly providing the kinematic constraints of no-slip and the corresponding thermal boundary conditions for immersed surfaces. Extensive verification of the developed method for both isothermal and natural convection 2D flows is provided. Strategies for adapting the developed approach to realistic 3D configurations are discussed.

Original languageEnglish
Pages (from-to)248-266
Number of pages19
JournalJournal of Computational Physics
Volume322
DOIs
StatePublished - 1 Oct 2016

Keywords

  • Distributed Lagrange multiplier
  • Fully pressure–velocity coupling approach
  • Immersed boundary method
  • Linear stability analysis

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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