We present a general procedure to convert schemes which are based on staggered spatial grids into nonstaggered schemes. This procedure is then used to construct a new family of nonstaggered, central schemes for hyperbolic conservation laws by converting the family of staggered central schemes recently introduced in [H. Nessyahu and E. Tadmor, J. Comput. Phys., 87 (1990), pp. 408-463; X. D. Liu and E. Tadmor, Numer. Math., 79 (1998), pp. 397-425; G. S. Jiang and E. Tadmor, SIAM J. Sci. Comput., 19 (1998), pp. 1892-1917]. These new nonstaggered central schemes retain the desirable properties of simplicity and high resolution, and in particular, they yield Riemann-solver-free recipes which avoid dimensional splitting. Most important, the new central schemes avoid staggered grids and hence are simpler to implement in frameworks which involve complex geometries and boundary conditions. [References: 31]
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机译：我们提出了将基于交错空间网格的方案转换为非交错方案的一般程序。然后，通过转换最近在[H.C.H.Sci.Chem.Soc。，1992，8，3257]中引入的交错中央方案族，该程序被用于构造新的双曲线中央守恒方案系列。 Nessyahu和E.Tadmor，J。Comput。 Phys.87（1990），第408-463页;和X. D. Liu和E. Tadmor，Numer。 Math。，79（1998），第397-425页;和G. S. Jiang和E. Tadmor，SIAM J. Sci。计算（19）（1998），第1892-1917页]。这些新的无交错中心方案保留了简单性和高分辨率的理想特性，特别是它们产生了避免尺寸分裂的无Riemann求解器的配方。最重要的是，新的中央方案避免了交错的网格，因此在涉及复杂几何形状和边界条件的框架中更易于实现。 [参考：31]
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