Research output: Contribution to journal › Article › peer-review
On the parametrical Lattice Boltzmann equations. / Krivovichev, G. V.
In: Applied Mathematical Sciences, Vol. 8, No. 101-104, 2014, p. 5003-5014.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - On the parametrical Lattice Boltzmann equations
AU - Krivovichev, G. V.
N1 - Publisher Copyright: © 2014 G. V. Krivovichev.
PY - 2014
Y1 - 2014
N2 - Lattice Boltzmann equations with dependence on a parameter are proposed. The construction of finite-difference schemes is based on the integral form of the system of kinetic equations with discrete velocities. The schemes are developed with usage of quadrature formulas. It is demonstrated, that at some parameter values the second order of approximation takes place. The stability conditions are obtained. The possibilities of application to fluid dynamics problems are demonstrated on the solutions of 2D lid-driven cavity flow problem and problem of the flow in channel with rectangular stricture. Obtained results are compared with the results obtained by other numerical methods.
AB - Lattice Boltzmann equations with dependence on a parameter are proposed. The construction of finite-difference schemes is based on the integral form of the system of kinetic equations with discrete velocities. The schemes are developed with usage of quadrature formulas. It is demonstrated, that at some parameter values the second order of approximation takes place. The stability conditions are obtained. The possibilities of application to fluid dynamics problems are demonstrated on the solutions of 2D lid-driven cavity flow problem and problem of the flow in channel with rectangular stricture. Obtained results are compared with the results obtained by other numerical methods.
KW - Lattice boltzmann equations
KW - Lattice boltzmann method
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=84912045366&partnerID=8YFLogxK
U2 - 10.12988/ams.2014.46406
DO - 10.12988/ams.2014.46406
M3 - Article
VL - 8
SP - 5003
EP - 5014
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
SN - 1312-885X
IS - 101-104
ER -
ID: 7010098