Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method

Результат исследований: Научные публикации в периодических изданияхстатья

1 цитирование (Scopus)

Выдержка

The paper is devoted to the stability analysis of the body force action models, used in the lattice Boltzmann method. The six widely used models are investigated. Only single-phase fluids are considered. Stability investigation is based on the application of the von Neumann method to the linear approximation of the system of the nonlinear lattice Boltzmann equations. An analysis is realized by the construction of the stability domains in the parameter space. The integral characteristics in dependence on the relaxation time are investigated. The rotation of the body force vector to the flow direction on some angle is considered. It is demonstrated, that the force provides a stabilizing effect if it acts in the opposite direction to the velocity vector. As the main result of the analysis of the stability domains, it is demonstrated, that the better stability properties take place for the implicit model. In the class of the explicit models, the exact difference method is preferable.

Язык оригиналаанглийский
Страницы (с-по)25-41
Число страниц17
ЖурналApplied Mathematics and Computation
Том348
DOI
СостояниеОпубликовано - 1 мая 2019

Отпечаток

Lattice Boltzmann Method
Relaxation Time
Relaxation time
Stability Analysis
Nonlinear Lattice
Lattice Boltzmann Equation
Exact Method
Linear Approximation
Model
Boltzmann equation
Difference Method
Parameter Space
Angle
Fluid
Fluids

Предметные области Scopus

  • Вычислительная математика
  • Прикладная математика

Цитировать

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Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method. / Krivovichev, Gerasim V.

В: Applied Mathematics and Computation, Том 348, 01.05.2019, стр. 25-41.

Результат исследований: Научные публикации в периодических изданияхстатья

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