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
fDate :
June 30 2014-July 4 2014
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;
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
DOI :
10.1109/ICCTPEA.2014.6893313
