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1. Implicit-explicit Finite-difference Lattice Boltzmann Method for Compressible Flows | |||
Wang Yong,He Yaling,Tianshou Zhao,Guihua Tang,Wenquan Tao | |||
Dynamic and Electronic Engineering 24 December 2008 | |||
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Abstract:We propose an implicit-explicit finite-difference lattice Boltzmann method for compressible flows in this work. The implicit-explicit Runge-Kutta scheme, which solves the relaxation term of the discrete velocity Boltzmann equation implicitly and other terms explicitly, is adopted for the time discretization. Owing to the characteristic of the collision invariants in the lattice Boltzmann method, the implicitness can be completely eliminated, and thus no iteration is needed in practice. In this fashion, problems (no matter stiff or not) can be integrated quickly with large Courant-Friedriche-Lewy numbers. As a result, with our implicit-explicit finite-difference scheme the computational convergence rate can be significantly improved compared with the previous finite-difference and standard lattice Boltzmann methods. Numerical simulations of Riemann problem, Taylor vortex flow, Couette flow, and oscillatory compressible flows with shock waves show that our implicit-explicit finite-difference lattice Boltzmann method is accurate and efficient. In addition, it is demonstrated that with the proposed scheme non-uniform meshes can also be implemented with ease. | |||
TO cite this article:Wang Yong,He Yaling,Tianshou Zhao, et al. Implicit-explicit Finite-difference Lattice Boltzmann Method for Compressible Flows[OL].[24 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26916 |
2. Experimental verification of the field synergy principle | |||
Ma LiangDong,Li ZengYao,Tao WenQuan | |||
Dynamic and Electronic Engineering 18 October 2006 | |||
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Abstract:In this paper, the basic idea of the field synergy principle (FSP) is briefly reviewed and is validated experimentally by incompressible flow through a square duct with an imposed temperature difference between vertical walls and perfectly insulated on the horizontal walls. This creates a situation where the steamwise flow velocity is normal the cross section temperature gradient. The experimental results show the independency of crosswise heat transfer rate on the steamwise flow velocity. Detailed discussion is provided to account for some minor deviation from the expected results of FSP | |||
TO cite this article:Ma LiangDong,Li ZengYao,Tao WenQuan. Experimental verification of the field synergy principle[OL].[18 October 2006] http://en.paper.edu.cn/en_releasepaper/content/8794 |
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