Article ID Journal Published Year Pages File Type
4629758 Applied Mathematics and Computation 2012 10 Pages PDF
Abstract

A lattice Boltzmann model is proposed to solve elliptic equations with variable coefficient. Compared with the previous model, the present model is a more effective solver to the ellipse equation with variable coefficient, and the ellipse equation is exactly recovered to order O(ε2)O(ε2). The relaxation time τ is not fixed and is determined by the coefficient of the equation. The limited numerical results show that the present model is valid for ellipse equations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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