多组分反应流的动态p-富集格式
Dynamic p-enrichment schemes for multicomponent reactive flows
摘要：
我们提出了一个家庭的p-富集计划。这些计划可以分为两个基本类：第一个，称为\emph{fixed tolerance schemes}，依赖于设置全局标量公差的局部规律性的解决方案，和第二个，称为\emph{dioristic schemes}，依赖于时间演变的边界上的局部变化的解决方案。每类$p$ -增广方案又进一步分为两种基本类型。第一种类型（I型方案）沿着最大变化的路线进行富集，努力在“最感兴趣的领域”中增强稳定的解决方案。“第二类（第二类计划）按照最有规律的路线进行浓缩，以最大限度地提高浓缩过程的稳定性。每一个这些计划进行了测试，在沿海水文所产生的一对模型问题。第一个是一个污染物传输模型，它解决了一个污染物羽流相对于海湾入口设置的下降问题。第二个是墨西哥湾河口富营养化的多组分化学反应流模型。
英文摘要：
We present a family of p-enrichment schemes. These schemes may be separated into two basic classes: the first, called \emph{fixed tolerance schemes}, rely on setting global scalar tolerances on the local regularity of the solution, and the second, called \emph{dioristic schemes}, rely on time-evolving bounds on the local variation in the solution. Each class of $p$-enrichment scheme is further divided into two basic types. The first type (the Type I schemes) enrich along lines of maximal variation, striving to enhance stable solutions in "areas of highest interest." The second type (the Type II schemes) enrich along lines of maximal regularity in order to maximize the stability of the enrichment process. Each of these schemes are tested over a pair of model problems arising in coastal hydrology. The first is a contaminant transport model, which addresses a declinature problem for a contaminant plume with respect to a bay inlet setting. The second is a multicomponent chemically reactive flow model of estuary eutrophication arising in the Gulf of Mexico.
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