Citations

Citations at scholar.google.cn
  1. Jiang S, Sun WJ, A second-order BGK scheme for the equations of radiation hydrodynamics, Int. J. Numer. Meth. Fluids, 53 (3): 391-416, JAN 30 2007.   SCI


    Abstract: We present a second-order BGK scheme for the equations of multidimensional radiation hydrodynamics (RHE) in zero diffusion limit by using the generalized Maxwellian (Comput. Fluids 2000; 29:917-933) and the second-order BGK scheme for the Euler equations (J. Comput. Phys. 1993; 109:53-66; Gas Kinetic Scheme for Unsteady Compressible Flow Simulations. Lecture Note Series 1998-03. Von Kárman Institute for Fluid Dynamics, 1998). This extends a (first-order) kinetic flux vector splitting scheme (KFVS) for RHE (Tang and Wu (2000)) to a second-order BGK scheme. Several one- and two-dimensional numerical examples demonstrate improvement of the scheme in accuracy and resolution compared with the KFVS scheme (Tang and Wu (2000)) and the first-order BGK scheme.
  2. Yu XJ, Dai QF, The Runge-Kutta DG finite element method and the KFVS scheme for compressible flow simulations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 22 (6): 1455-1478 NOV 2006.   SCI

  3. RKDG finite element schemes combined with a gas-kinetic methods for one-dimensional compressible Euler equations 作者: Yu XJ, Dai QF 会议信息: Satellite Conference on Scientific Computing (ICM2002), AUG 15-18, 2002 Xian Jiaotong Univ, Xian, PEOPLES R CHINA来源出版物: CURRENT TRENDS IN SCIENTIFIC COMPUTING 丛书: CONTEMPORARY MATHEMATICS SERIES 卷: 329 页: 355-372 出版年: 2003   SCI



  4. A. Karantonis, Y. Shiomi, S. Nakabayashi, Laser experiments and theoretical modeling for the diagnosis of bifurcation sequences of an OSCILLATING ELECTRODE REACTION, International Journal of Bifurcation and Chaos, 11(2001), 1275-1294.

  5. Ong J.C., COMPUTATIONAL ANALYSIS OF GAS KINETIC BHATNAGAR-GROSS- KROOK scheme for inviscid compressible flow, http://psasir.upm.edu.my/183/2/549508_FK_2004_7.pdf Ref[14]

  6. 蔚喜军, 代庆芳, 结合气体分子动力学方法的RKDG 有限元格式求解一维Euler 可压方程组, 计算数学, 2003 Vol.25 No.4 P.407-422.