Ghost fluid based immersed boundary treatment for Lattice Boltzmann method

Arpit Tiwari, Rahul Samala, Surya Pratap Vanka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An immersed boundary method has been developed for Lattice Boltzmann Equations via ghost fluid approach. Image points of the ghost points inside the fluid domain are obtained by extrapolation along the boundary normal. Velocity, density and non-equilibrium value of the distribution function at ghost points are extrapolated from image point values which are calculated by interpolation from the boundary and fluid domain. The distribution function at ghost points is computed from the extrapolated non-equilibrium part and the equilibrium part which is obtained from extrapolated values of the velocities. The method is found to be second order accurate. The method is applied to concentric 2D Couette flow and 3D Taylor Couette flow.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages309-313
Number of pages5
EditionPART A
ISBN (Print)9780791843826
DOIs
StatePublished - Jan 1 2010
EventASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States
Duration: Nov 13 2009Nov 19 2009

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
NumberPART A
Volume9

Other

OtherASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
CountryUnited States
CityLake Buena Vista, FL
Period11/13/0911/19/09

Fingerprint

Distribution functions
Fluids
Boltzmann equation
Extrapolation
Interpolation

Keywords

  • Ghost fluid method
  • Immersed boundary method
  • Taylor-Couette flow

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Tiwari, A., Samala, R., & Vanka, S. P. (2010). Ghost fluid based immersed boundary treatment for Lattice Boltzmann method. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009 (PART A ed., pp. 309-313). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 9, No. PART A). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2009-11578

Ghost fluid based immersed boundary treatment for Lattice Boltzmann method. / Tiwari, Arpit; Samala, Rahul; Vanka, Surya Pratap.

Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART A. ed. American Society of Mechanical Engineers (ASME), 2010. p. 309-313 (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 9, No. PART A).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tiwari, A, Samala, R & Vanka, SP 2010, Ghost fluid based immersed boundary treatment for Lattice Boltzmann method. in Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART A edn, ASME International Mechanical Engineering Congress and Exposition, Proceedings, no. PART A, vol. 9, American Society of Mechanical Engineers (ASME), pp. 309-313, ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009, Lake Buena Vista, FL, United States, 11/13/09. https://doi.org/10.1115/IMECE2009-11578
Tiwari A, Samala R, Vanka SP. Ghost fluid based immersed boundary treatment for Lattice Boltzmann method. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART A ed. American Society of Mechanical Engineers (ASME). 2010. p. 309-313. (ASME International Mechanical Engineering Congress and Exposition, Proceedings; PART A). https://doi.org/10.1115/IMECE2009-11578
Tiwari, Arpit ; Samala, Rahul ; Vanka, Surya Pratap. / Ghost fluid based immersed boundary treatment for Lattice Boltzmann method. Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART A. ed. American Society of Mechanical Engineers (ASME), 2010. pp. 309-313 (ASME International Mechanical Engineering Congress and Exposition, Proceedings; PART A).
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