An Onsager-like relation for the lattice Boltzmann method

作者：Yong Wen An^*

来源：Computers & Mathematics with Applications, 2009, 58(5): 862-866.

DOI：10.1016/j.camwa.2009.02.010

• Lattice Boltzmann method
• Onsager reciprocal relation
• Stability

An Onsager-like relation is proposed as a new criterion for constructing and analyzing the lattice Boltzmann (LB) method. For LB models obeying the relation, we analyze their linearized stability, establish their diffusive limit, and find new constraints for those with free parameters. The new relation seems of fundamental importance for the LB method.

• 出版日期2009-9
• 单位清华大学