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An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using an iterative technique. (English) Zbl 1369.76045
Summary: A novel immersed boundary-lattice Boltzmann method (IB-LBM) is proposed for incompressible viscous flows in complex geometries. Based on the momentum exchanged-based IB-LBM, an iterative technique is introduced to enforce the non-slip boundary condition at the boundary points. Moreover, the proposed IB-LBM overcomes the drawback that the numerical results of the previous work [J. Wu and C. Shu, J. Comput. Phys. 228, No. 6, 1963–1979 (2009; Zbl 1243.76081)] which is affected by the distribution of Lagrangian points. A simple theoretical analysis is developed to obtain the optimal iteration parameters. Numerical results show that the present scheme has second-order accuracy and is not affected by the distribution of Lagrangian points. It also shows that the non-slip boundary condition is satisfied on the boundary. This verifies that our IB-LBM is capable of simulating flow problems with complex boundaries.

76M28 Particle methods and lattice-gas methods
76D99 Incompressible viscous fluids
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