TY - JOUR
T1 - Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision
AU - Zhenning Cai, Yuwei Fan, Ruo Li & Zhonghua Qiao
JO - Communications in Computational Physics
VL - 5
SP - 1368
EP - 1406
PY - 2014
DA - 2014/05
SN - 15
DO - http://doi.org/10.4208/cicp.220313.281013a
UR - https://global-sci.org/intro/article_detail/cicp/7142.html
KW - 
AB - <p style="text-align: justify;">We develop the dimension-reduced hyperbolic moment method for the
Boltzmann equation, to improve solution efficiency using a numerical regularized
moment method for problems with low-dimensional macroscopic variables and high-dimensional microscopic variables. In the present work, we deduce the globally hyperbolic moment equations for the dimension-reduced Boltzmann equation based on the
Hermite expansion and a globally hyperbolic regularization. The numbers of Maxwell
boundary condition required for well-posedness are studied. The numerical scheme
is then developed and an improved projection algorithm between two different Hermite expansion spaces is developed. By solving several benchmark problems, we validate the method developed and demonstrate the significant efficiency improvement
by dimension-reduction.</p>