DocumentCode
229376
Title
Numerical analysis of two-step finite-difference-based lattice Boltzmann scheme
Author
Mikheev, Sergei A. ; Krivovichev, Gerasim V.
Author_Institution
St.-Peterburg State Univ., St. Petersburg, Russia
fYear
2014
fDate
June 30 2014-July 4 2014
Firstpage
120
Lastpage
121
Abstract
The modified two-step lattice Boltzmann scheme with central differences is proposed. It is shown that the scheme approximates the system of discrete Boltzmann equations with the second order on space variables, and with first order on time. Values of the Courant parameter for the scheme proposed and the values for the finite difference schemes presented in other studies are compared. The scheme shows the efficiency in solution of two test problems: the problem of cavity flow and the Couette problem.
Keywords
Boltzmann equation; finite difference methods; numerical analysis; Couette problem; Courant parameter; cavity flow; central differences; discrete Boltzmann equations; lattice Boltzmann scheme; numerical analysis; space variables; two step finite difference; Approximation methods; Boltzmann equation; Cavity resonators; Educational institutions; Electronic mail; Lattice Boltzmann methods; Physics;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on
Conference_Location
St. Petersburg
Print_ISBN
978-1-4799-5315-8
Type
conf
DOI
10.1109/ICCTPEA.2014.6893313
Filename
6893313
Link To Document