Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, quadrature free method for solving hyperbolic conservation laws. We perform a cell average decomposition of the LWFR scheme that is similar to the one used in the admissibility preserving framework of Zhang and Shu (2010). By performing a flux limiting of the time averaged numerical flux, the decomposition is used to obtain an admissibility preserving LWFR scheme. The admissibility preservation framework is further extended to a newly proposed extension of LWFR scheme for conservation laws with source terms. This is the first extension of the high order LW scheme that can handle source terms. The admissibility and accuracy are verified by numerical experiments on the Ten Moment equations of Livermore et al.

翻译：Lax-Wendroff通量重构（LWFR）是一种用于求解双曲守恒律的单步、高阶、免求积方法。我们对LWFR格式进行单元平均分解，该分解类似于Zhang和Shu（2010）在保可容许性框架中使用的分解。通过对时间平均数值通量施加通量限制，利用该分解得到保可容许性的LWFR格式。该保可容许性框架进一步扩展到新提出的、适用于带源项守恒律的LWFR格式扩展。这是高阶LW格式首次能够处理源项。通过Livermore等人提出的十矩方程数值实验，验证了该格式的可容许性和精度。