A new implicit fictitious domain method for the simulation of flow in complex geometries with heat transfer

S. Haeri, J.S. Shrimpton

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

A numerical algorithm for the simulation of flow past immersed objects with heat transfer is proposed and validated which conforms with the ideas of the fictitious domain method. A momentum source term is added to account for the presence of the object and a heat source term is proposed to impose the Dirichlet boundary condition on the surface of the objects. The algorithm is an implicit fictitious domain based method where the entire fluid-immersed object domain assumed to be an incompressible fluid. The flow domain is constrained to be divergence free, whereas a rigidity constraint is imposed on the body domain. Heat transfer is similarly considered by assuming that the object domain is filled with a fluid with different thermal properties. The SIMPLE algorithm with a collocated grid arrangement is used for pressure–velocity coupling which is unconditionally stable. The algorithm is validated by considering stationary, forced motion and freely moving objects with both isothermal and freely variable temperature inside the object. Good agreement with previous numerical and experimental studies for all the test cases is observed.
LanguageEnglish
Pages21-45
Number of pages25
JournalJournal of Computational Physics
Volume237
DOIs
Publication statusPublished - 15 Mar 2013

Fingerprint

heat transfer
Heat transfer
Geometry
geometry
Fluids
simulation
velocity coupling
Rigidity
Momentum
Thermodynamic properties
fluids
incompressible fluids
Boundary conditions
heat sources
rigidity
divergence
thermodynamic properties
grids
boundary conditions
momentum

Keywords

  • fictitious domain
  • forced convection
  • free convection
  • SIMPLE algorithm
  • collocated grid

Cite this

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A new implicit fictitious domain method for the simulation of flow in complex geometries with heat transfer. / Haeri, S.; Shrimpton, J.S.

In: Journal of Computational Physics, Vol. 237, 15.03.2013, p. 21-45.

Research output: Contribution to journalArticle

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AU - Shrimpton, J.S.

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AB - A numerical algorithm for the simulation of flow past immersed objects with heat transfer is proposed and validated which conforms with the ideas of the fictitious domain method. A momentum source term is added to account for the presence of the object and a heat source term is proposed to impose the Dirichlet boundary condition on the surface of the objects. The algorithm is an implicit fictitious domain based method where the entire fluid-immersed object domain assumed to be an incompressible fluid. The flow domain is constrained to be divergence free, whereas a rigidity constraint is imposed on the body domain. Heat transfer is similarly considered by assuming that the object domain is filled with a fluid with different thermal properties. The SIMPLE algorithm with a collocated grid arrangement is used for pressure–velocity coupling which is unconditionally stable. The algorithm is validated by considering stationary, forced motion and freely moving objects with both isothermal and freely variable temperature inside the object. Good agreement with previous numerical and experimental studies for all the test cases is observed.

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