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无积分方法。我们对LWFR格式执行了类似于张和舒（2010）容许性保持框架中所采用的单元平均分解。通过对时间平均数值通量进行通量限制，该分解被用于构建具有容许性保持特性的LWFR格式。该容许性保持框架进一步扩展至新提出的、针对带源项守恒律的LWFR扩展格式。这是高阶LW格式首次能够处理源项的扩展。通过对Livermore等人提出的十矩方程进行数值实验，验证了该格式的容许性与精度。