A node-pair bgk kinetic scheme for flows at moderate knudsen numbers

Marco Fossati, Luigi Vigevano

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

Abstract

The present work discusses the implementation of a kinetic scheme based on the BGK model equation in the framework of a node-pair formulation for the conservation laws to simulate compressible flows on unstructured hybridmeshes. A multidimensional second order scheme scheme is achieved by suitable modification to the original stencil of the node-pair approach. In the transitional regime, slip velocity condition at solid wall is automatically assured by the kinetic formulation of the node-pair boundary conditions. Flows at Knudsen number up to 0.01 have been considered for validation of the present approach.

LanguageEnglish
Title of host publicationProceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles
Volume659 SP
Publication statusPublished - 17 Jun 2009
Event6th European Symposium Aerothermodynamics for Space Vehicles - Versailles, France
Duration: 3 Nov 20086 Nov 2008

Conference

Conference6th European Symposium Aerothermodynamics for Space Vehicles
CountryFrance
CityVersailles
Period3/11/086/11/08

Fingerprint

Knudsen flow
BGK model
compressible flow
formulations
kinetics
Kinetics
Compressible flow
conservation laws
Conservation
slip
boundary condition
Boundary conditions
boundary conditions

Keywords

  • BGK kinetic scheme
  • finite volumes
  • node-pair approach
  • transitional regime
  • unstructured hybrid grids
  • finite volume method
  • kinetic theory of gases
  • compressible flow
  • gas-kinetic scheme

Cite this

Fossati, M., & Vigevano, L. (2009). A node-pair bgk kinetic scheme for flows at moderate knudsen numbers. In Proceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles (Vol. 659 SP)
Fossati, Marco ; Vigevano, Luigi. / A node-pair bgk kinetic scheme for flows at moderate knudsen numbers. Proceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles. Vol. 659 SP 2009.
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Fossati, M & Vigevano, L 2009, A node-pair bgk kinetic scheme for flows at moderate knudsen numbers. in Proceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles. vol. 659 SP, 6th European Symposium Aerothermodynamics for Space Vehicles, Versailles, France, 3/11/08.

A node-pair bgk kinetic scheme for flows at moderate knudsen numbers. / Fossati, Marco; Vigevano, Luigi.

Proceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles. Vol. 659 SP 2009.

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

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N2 - The present work discusses the implementation of a kinetic scheme based on the BGK model equation in the framework of a node-pair formulation for the conservation laws to simulate compressible flows on unstructured hybridmeshes. A multidimensional second order scheme scheme is achieved by suitable modification to the original stencil of the node-pair approach. In the transitional regime, slip velocity condition at solid wall is automatically assured by the kinetic formulation of the node-pair boundary conditions. Flows at Knudsen number up to 0.01 have been considered for validation of the present approach.

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Fossati M, Vigevano L. A node-pair bgk kinetic scheme for flows at moderate knudsen numbers. In Proceedings of the 6th European Symposium on Aerothermodynamics for Space Vehicles. Vol. 659 SP. 2009