Globally hyperbolic regularized moment method with applications to microflow simulation

Zhenning Cai; Ruo Li; Zhonghua Qiao

doi:10.1016/j.compfluid.2013.03.019

Globally hyperbolic regularized moment method with applications to microflow simulation

Zhenning Cai, Ruo Li, Zhonghua Qiao

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

The hyperbolic moment system is derived for the Boltzmann equation with the ES-BGK collision term and wall boundary conditions. The wall boundary conditions we proposed for the moment system have the same number of constraints as required based on the characteristic structures of the hyperbolic moment systems. A numerical scheme is then developed to solve the moment system with both initial and boundary values. The scheme is a finite volume method with customized discretization for the convection term based on the DLM theory [14], and an analytical integration formula is given for the collision term. The numerical experiments are carried out on some benchmark problems in the microflows to show the effectiveness and efficiency of the moment method.

Original language	English
Pages (from-to)	95-109
Number of pages	15
Journal	Computers and Fluids
Volume	81
DOIs	https://doi.org/10.1016/j.compfluid.2013.03.019
Publication status	Published - 20 Jul 2013

Keywords

Boundary conditions
ES-BGK model
Hyperbolic moment system
Microflow

ASJC Scopus subject areas

Computer Science(all)
Engineering(all)

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10.1016/j.compfluid.2013.03.019

Cite this

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title = "Globally hyperbolic regularized moment method with applications to microflow simulation",

abstract = "The hyperbolic moment system is derived for the Boltzmann equation with the ES-BGK collision term and wall boundary conditions. The wall boundary conditions we proposed for the moment system have the same number of constraints as required based on the characteristic structures of the hyperbolic moment systems. A numerical scheme is then developed to solve the moment system with both initial and boundary values. The scheme is a finite volume method with customized discretization for the convection term based on the DLM theory [14], and an analytical integration formula is given for the collision term. The numerical experiments are carried out on some benchmark problems in the microflows to show the effectiveness and efficiency of the moment method.",

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AU - Cai, Zhenning

AU - Li, Ruo

AU - Qiao, Zhonghua

PY - 2013/7/20

Y1 - 2013/7/20

N2 - The hyperbolic moment system is derived for the Boltzmann equation with the ES-BGK collision term and wall boundary conditions. The wall boundary conditions we proposed for the moment system have the same number of constraints as required based on the characteristic structures of the hyperbolic moment systems. A numerical scheme is then developed to solve the moment system with both initial and boundary values. The scheme is a finite volume method with customized discretization for the convection term based on the DLM theory [14], and an analytical integration formula is given for the collision term. The numerical experiments are carried out on some benchmark problems in the microflows to show the effectiveness and efficiency of the moment method.

AB - The hyperbolic moment system is derived for the Boltzmann equation with the ES-BGK collision term and wall boundary conditions. The wall boundary conditions we proposed for the moment system have the same number of constraints as required based on the characteristic structures of the hyperbolic moment systems. A numerical scheme is then developed to solve the moment system with both initial and boundary values. The scheme is a finite volume method with customized discretization for the convection term based on the DLM theory [14], and an analytical integration formula is given for the collision term. The numerical experiments are carried out on some benchmark problems in the microflows to show the effectiveness and efficiency of the moment method.

KW - Boundary conditions

KW - ES-BGK model

KW - Hyperbolic moment system

KW - Microflow

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DO - 10.1016/j.compfluid.2013.03.019

M3 - Journal article

SN - 0045-7930

VL - 81

SP - 95

EP - 109

JO - Computers and Fluids

JF - Computers and Fluids

ER -

Globally hyperbolic regularized moment method with applications to microflow simulation

Abstract

Keywords

ASJC Scopus subject areas

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