[1] WANG X Y. A summary of the space-time conservation element and solution element(CESE)method[J]. NASA/TM-2015-218743.
[2] CHANG S C. The method of space-time conservation element and solution element-A new approach for solving the Navier-Stokes and Euler equations[J]. Journal of Computational Physics, 1995, 119:295-324.
[3] FENG X S, HU Y Q, WEI F S. Modeling the resistive MHD by the CESE method[J]. Solar Physics, 2006, 235:235-257.
[4] JIANG R L, FANG C, CHEN P. A new MHD code with adaptive mesh refinement and parallelization for astrophysics[J]. Computer Physics Communications, 2012,183:1617-1633.
[5] TóTH G. The ▽·B=0 constraint in shock-capturing magnetohydrodynamics codes[J]. Journal of Computational Physics, 2000,161:605-652.
[6] ZHANG M, FENG X S. A comparative study of divergence cleaning method of magnetic field in the solar coronal numerical simulation[J]. Frontiers in Astronomy and Space Science, 2016.
[7] POWELL K G, ROE P L, LINDE T J, et al. A solution-adaptive upwind scheme for ideal magnetohydrodynamics[J]. Journal of Computational Physics, 1999, 154:284-309.
[8] BRACKBILL J U, BARNES D C. The effect of nonzero ▽·B on the numerical solution of the magnetohydrodynamic equations[J]. Journal of Computational Physics, 1980, 35:426-430.
[9] VAN der HOLST B, KEPPENS R. Hybrid block-AMR in cartesian and curvilinear coordinates:MHD applications[J]. Journal of Computational Physics, 2007, 226:925-946.
[10] EVANS C R, HAWLEY J F. Simulation of magnetohydrodynamic flows-A constrained transport method[J]. Astrophysical Journal, 1988, 332:659-677.
[11] DEDNER A, et al. Hyperbolic divergence cleaning for the MHD equations[J]. Journal of Computational Physics, 2002, 175:645-673.
[12] 田正雨,张康平,丁国昊,李桦.MHD数值模拟中清除伪磁场散度方法[J].计算物理,2009,26:78-86.
[13] 李源,罗喜胜. 理想磁流体中激波与矩形密度界面相互作用的数值研究[J].计算物理,2014,31(6):659-667.
[14] JIANG C W, FENG X S, et al. AMR simulations of magnetohydrodynamic problems by the CESE method in curvilinear coordinates[J]. Solar Physics, 2010, 267:463-491.
[15] SHEN H, WEN C Y, LIU K X. Robust high-order space-time conservative schemes for solving conservation laws on hybrid Meshes[J]. Journal of Computational Physics, 2015, 281:375-402.
[16] ZHOU Y F, FENG X S. A new hybrid numerical scheme for two-dimensional ideal MHD equations[J]. Chinese Physics Letters, 2012, 29:94703.
[17] LI S T. High order central scheme on overlapping cells for magnetohydrodynamic flows with and without constrained transport method[J]. Journal of Computational Physics, 2008, 227:7368-7393. |
