Abstract

The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.

中文翻译：

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MUSCL型方案在冲击波计算中的准确性

摘要

考虑了中心差Nessyahu–Tadmor（NT）方案，该方案是使用通量的二阶MUSCL重建建立的。研究了NT方案的准确性，该方案用于计算以可变速度传播的冲击波。结果表明，该方案在区间上具有一阶积分收敛，其中一个边界位于冲击波的影响范围内。结果，在这些区域中NT方案的局部精度显着降低。给出的测试计算证明了NT方案的这些特性。