Abstract This report presents adaptive artificial compression methods in which the time-step and artificial compression parameter ε are independently adapted. The resulting algorithms are supported by analysis and numerical tests. The first and second-order methods are embedded. As a result, the computational, cognitive, and space complexities of the adaptive ε, k algorithms are negligibly greater than that of the simplest, first-order, constant ε, constant k artificial compression method.

中文翻译：

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不可压缩流的双自适应人工压缩方法

摘要 本报告介绍了自适应人工压缩方法，其中时间步长和人工压缩参数 ε 独立适应。由此产生的算法得到了分析和数值测试的支持。嵌入了一阶和二阶方法。因此，自适应 ε, k 算法的计算、认知和空间复杂性比最简单的一阶常数 ε, 常数 k 人工压缩方法的计算复杂度大到可以忽略不计。