A matrix-free, implicit finite volume lattice Boltzmann method for steady flows

作者：Li Weidong^*

来源：Computers & Fluids, 2017, 148: 157-165.

DOI：10.1016/j.compfluid.2017.02.019

• Matrix-free
• Implicit scheme
• Finite volume lattice Boltzmann method

In the present paper, a matrix-free, implicit finite volume lattice Boltzmann method for steady flow on unstructured mesh is proposed. The approximate linear system arising from the implicit finite volume discretization of lattice Boltzmann equation (LBE) is solved by a novel algorithm, which combines the lower-upper symmetric Gauss-Seidel (LU-SGS) and the Jacobi iteration schemes. A remarkable feature of the present implicit method is that the storage of the Jacobian matrixes of the convection and collision terms can be completely eliminated by approximating the Jacobian matrix-solution incremental vector product with appropriate numerical flux incremental vector and the numerical increment of collision term, resulting a matrix-free implicit scheme. The present method is validated by several twodimensional testing cases.

• 出版日期2017-4-22
• 单位北京计算科学研究中心