Qing Liu

Zhejiang University, Hangzhou, Zhejiang Sheng, China

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Publications (3)1.65 Total impact

  • Qing Liu · C. K. Chan · X. L. Cheng
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    ABSTRACT: The premixed turbulent V-flame is numerically simulated in this paper. The technique used in Chan et al. [Effect of intense turbulence on turbulent premixed V-flame, Int. J. Eng. Sci. 41 (2003), pp. 903–916; Simulation of a premixed turbulent flame with the discrete vortex method, Int. J. Numer. Methods Eng. 48 (2000), pp. 613–627] was based on the random vortex method and the conventional level set method. However, this paper is an improvement of the previous technique by using a conservative level set method. The new algorithm uses a bi-cubic interpolation process together with Newton's method to reconstruct the velocity field to improve the conservation of the level set method. The numerical example in this paper indicates the efficiency of the new method in solving the problem of turbulent premixed V-flame by comparing the results with available data.
    International Journal of Computer Mathematics 07/2011; 88(10-10):2154-2166. DOI:10.1080/00207160.2010.531129 · 0.82 Impact Factor
  • Qing Liu · C. K. Chan · Xiao-Liang Cheng
  • Qing Liu · Xiao-Liang Cheng
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    ABSTRACT: In this paper, we propose an iterative algorithm based on the level set method for the shape recovery problem. We use a suitable preconditioner for the artificial time-dependent system for the level set formulation and propose an iterative algorithm of the level set function. We prove the convergence of our algorithm under some hypothesis. Numerical experiments show the efficiency of the algorithm.
    International Journal of Computer Mathematics 06/2010; 87:1630-1637. DOI:10.1080/00207160802410095 · 0.82 Impact Factor