Lattice differential operators are known to preserve key properties of their analytical counterpart, such as isotropy, fundamental vector identities due to the symmetries of the discrete kinetic lattice. Here, we present the idea of discrete lattice operators derived on a body-centered-cubic (BCC) lattice. These operators show quite a high degree of accuracy and isotropy as compared to the earlier simple cubic (SC) representations of the same while maintaining a relatively smaller stencil. To illustrate the usefulness of these schemes, we have considered a couple of examples, such as passive scalar transport and fluctuating hydrodynamics.

中文翻译：

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一类晶格上的离散微分算子

众所周知，由于离散动力学晶格的对称性，晶格微分算子会保留其分析对应项的关键属性，例如各向同性，基本矢量恒等式。在这里，我们提出了基于体心立方（BCC）晶格的离散晶格算子的思想。与早期的简单立方（SC）表示相比，这些运算符显示出相当高的准确性和各向同性，同时保持相对较小的模板。为了说明这些方案的有用性，我们考虑了两个示例，例如被动标量传输和波动流体动力学。