...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >A SYNCHRONOUS AND ITERATIVE FLUX-CORRECTION FORMALISM FOR COUPLED TRANSPORT EQUATIONS
【24h】

A SYNCHRONOUS AND ITERATIVE FLUX-CORRECTION FORMALISM FOR COUPLED TRANSPORT EQUATIONS

机译：耦合运输方程的同步迭代磁通校正

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Many problems of fluid dynamics involve the coupled transport of several, density-like, dependent variables (for instance, densities of mass and momenta in elastic flows). In this paper, a conservative and synchronous flux-corrected transport (FCT) formalism is developed which aims at a consistent transport of such variables. The technique differs from traditional FCT algorithms in two respects, First, the limiting of transportive fluxes of the primary variables (e.g., mass and momentum) does not derive from smooth estimates of the variables, but it derives from analytic constraints implied by the Lagrangian form of the governing continuity equations, which are imposed on the specific mixing ratios of the variables (e.g., velocity components). Second, the traditional FCT limiting based on sufficiency conditions is augmented by an iterative procedure which approaches the necessity requirements. This procedure can also be used in the framework of traditional FCT schemes, and a demonstration is provided that it can significantly reduce some of the pathological behaviors of FCT algorithms. Although the approach derived is applicable to the transport of arbitrary conserved quantities, it is particularly useful for the synchronous transport of mass and momenta in elastic flows, where it assures intrinsic stability of the algorithm regardless of the magnitude of the mass-density variable. This latter property becomes especially important in fluids with large density variations, or in models with a material ''vertical'' coordinate (e.g., geophysical hydrostatic stratified flows in isopycnic/isentropic coordinates), where material surfaces can collapse to zero-mass layers admitting, therefore, arbitrarily large local Courant numbers. (C) 1996 Academic Press, Inc. [References: 36]
机译：流体动力学的许多问题都涉及多个类似密度的因变量的耦合传输（例如，弹性流中的质量密度和动量密度）。在本文中，开发了一种保守且同步的通量校正运输（FCT）形式主义，旨在一致地运输此类变量。该技术在两个方面与传统的FCT算法不同：首先，主要变量（例如质量和动量）的传递通量的限制不是从变量的平滑估计中得出的，而是从拉格朗日形式隐含的分析约束中得出的控制连续性方程式的变量，这些变量被施加在变量（例如速度分量）的特定混合比上。第二，基于满足条件的传统FCT限制通过一种逼近必要性要求的迭代过程得到了增强。此过程也可以在传统FCT方案的框架中使用，并提供了一个证明，它可以显着减少FCT算法的某些病理行为。尽管导出的方法适用于任意守恒量的传输，但它对于弹性流中质量和动量的同步传输特别有用，无论质量密度变量的大小如何，它都可以确保算法的固有稳定性。在具有大的密度变化的流体中，或在具有材料“垂直”坐标的模型（例如，等渗/等熵坐标中的地球物理静水分层流）中，后一种特性尤其重要，在该模型中，材料表面可能会塌陷至零质量层，从而允许，因此，任意大的本地Courant编号。 （C）1996 Academic Press，Inc. [参考：36]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号