Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method

Результат исследований: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

The paper is devoted to the analysis of passive scalar transport models, used in the lattice Boltzmann method. The case of the pure advection process, without physical diffusion, is considered. The models, proposed by other authors, the modifications of these models and new high-order finite-difference schemes, based on the extended Runge–Kutta-like formulae, are analyzed. The attention is focused on the stability analysis, analysis of the fictitious numerical effects and on the investigation of the sensitivity of accuracy order to the parameter values. The stability analysis is based on the von Neumann method. The influence of the parameter values on the stability is demonstrated. Stability conditions are obtained. Numerical dispersion and diffusion are analyzed. Test problems with discontinuous and smooth initial conditions are considered. The sensitivity of the accuracy order on the parameter values is analyzed.

Язык оригиналаанглийский
Страницы (с-по)1503-1524
ЖурналComputers and Mathematics with Applications
Том79
DOI
СостояниеОпубликовано - 2020

Предметные области Scopus

  • Моделирование и симуляция
  • Математика и теория расчета
  • Вычислительная математика

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