针对重叠网格寻点问题,提出了一种直接在格心网格下操作,基于虚网格的ADT(Alternating Digital Tree)搜索方法.通过对计算网格进行扩展,建立虚边界网格,解决了格心网格因覆盖区域不完整而无法直接建立ADT数据结构的问题.搜索结果即为包...针对重叠网格寻点问题,提出了一种直接在格心网格下操作,基于虚网格的ADT(Alternating Digital Tree)搜索方法.通过对计算网格进行扩展,建立虚边界网格,解决了格心网格因覆盖区域不完整而无法直接建立ADT数据结构的问题.搜索结果即为包含解的格心单元集合,可直接对结果列表遍历以得到合理贡献单元,故完全摒弃了可靠性差的StencilWalk方法.由虚网格的定义,使寻点在边界附近的处理更为灵活,可以准确给出边界附近贡献单元的有效信息,同时简化了虚网格体系的构建.扩展了重叠边界类型,构建的搜索空间能完整覆盖网格范围,解决了对称面重叠问题.算例研究表明:该方法可靠性好,边界处理能力强,有效提高了重叠网格方法对大型复杂网格的解算能力.展开更多
In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames....In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.展开更多
文摘针对重叠网格寻点问题,提出了一种直接在格心网格下操作,基于虚网格的ADT(Alternating Digital Tree)搜索方法.通过对计算网格进行扩展,建立虚边界网格,解决了格心网格因覆盖区域不完整而无法直接建立ADT数据结构的问题.搜索结果即为包含解的格心单元集合,可直接对结果列表遍历以得到合理贡献单元,故完全摒弃了可靠性差的StencilWalk方法.由虚网格的定义,使寻点在边界附近的处理更为灵活,可以准确给出边界附近贡献单元的有效信息,同时简化了虚网格体系的构建.扩展了重叠边界类型,构建的搜索空间能完整覆盖网格范围,解决了对称面重叠问题.算例研究表明:该方法可靠性好,边界处理能力强,有效提高了重叠网格方法对大型复杂网格的解算能力.
基金supported by the National Natural Science Foundation of China(Grant Nos.11505036 and 11275157)partially supported by the Science Fund from the Technology Department of Guizhou Province,China(Grant No.(2016)1104)
文摘In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.
