Civil and Environmental Engineering, Department of
Department of Civil and Environmental Engineering: Faculty Publications
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Document Type
Article
Date of this Version
6-2004
Abstract
A new numerical model of the lattice Boltzmann method utilizing least-squares finite element in space and Crank-Nicolson method in time is presented. The new method is able to solve problem domains that contain complex or irregular geometric boundaries by using finite-element method’s geometric flexibility and numerical stability, while employing efficient and accurate least-squares optimization. For the pure advection equation on a uniform mesh, the proposed method provides for fourth-order accuracy in space and second-order accuracy in time, with unconditional stability in the time domain. Accurate numerical results are presented through two-dimensional incompressible Poiseuille flow and Couette flow.
Comments
Published in PHYSICAL REVIEW E 69, 065701(R) (2004). Copyright ©2004 The American Physical Society. Used by permission.