ABSTRACT

The monotonicity of a two-time-level CABARET scheme approximating a multidimensional scalar conservation law is analyzed. A modification of this scheme is proposed. This modification retains the monotonicity of one-dimensional difference solutions to the CABARET scheme in a linear approximation. As a result, it provides an increased smoothness in the calculation of multidimensional discontinuous solutions. The results of test calculations are given. They illustrate the advantages of the modified scheme.

中文翻译：

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逼近多维标量守恒律的CABARET方案的单调性

摘要

分析了近似多维标量守恒律的两级CABARET方案的单调性。提出了对该方案的修改。此修改在线性逼近中保留了CABARET方案的一维差分解决方案的单调性。结果，它在多维不连续解的计算中提供了更高的平滑度。给出了测试计算的结果。它们说明了修改后的方案的优点。