Direct numerical simulation of multiphase flow systems: A Lagrange multiplier/fictitious domain method and its parallel implementation

C. Diaz-Goano*, P. Minev, K. Nandakumar

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.

Original languageEnglish
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherElsevier Inc.
Pages1312-1316
Number of pages5
ISBN (Electronic)9780080529479
ISBN (Print)9780080440460
DOIs
StatePublished - 2 Jun 2003
Externally publishedYes

Keywords

  • Finite element methods
  • Lagrange multipliers
  • Multiphase flow

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