...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
【24h】

FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems

机译：非结构网格上的FORCE方案II：非保守双曲系统

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

In this paper we propose a new high order accurate centered path-conservative method on unstructured triangular and tetrahedral meshes for the solution of multi-dimensional non-conservative hyperbolic systems, as they typically arise in the context of compressible multi-phase flows. Our path-conservative centered scheme is an extension of the centered method recently proposed in [40] for conservation laws, to which it reduces if the system matrix is the Jacobian of a flux function. The main advantage in the proposed centered approach compared to upwind methods is that no information about the eigenstructure of the system or Roe averages are needed. The final fully discrete high order accurate formulation in space and time is obtained using the general framework of P_NP_M schemes proposed in [16], which unifies in one single general family of schemes classical finite volume and discontinuous Galerkin methods. These P_NP_M methods can also be called reconstructed discontinuous Galerkin schemes, due to the use of the P_NP_M least-squares reconstruction operator. We show applications of our high order accurate unstructured centered method to the two- and three-dimensional Baer-Nunziato equations of compressible multiphase flows as introduced in [4].
机译：在本文中，我们提出了一种新的针对非结构三角形和四面体网格的高阶精确中心路径守恒方法，用于求解多维非保守双曲系统，因为它们通常出现在可压缩多相流的环境中。我们的路径守恒居中方案是最近在[40]中针对守恒定律提出的居中方法的扩展，如果系统矩阵是通量函数的雅可比行列式，则将其减少。与逆风方法相比，所提出的集中式方法的主要优点是不需要有关系统特征结构或Roe平均值的信息。使用[16]中提出的P_NP_M方案的通用框架可以获得最终的时空上完全离散的高阶精确公式，该方案将一个经典的有限体积法和不连续的Galerkin方法统一在一个单一的方案家族中。由于使用了P_NP_M最小二乘重构算子，这些P_NP_M方法也可以称为重构不连续Galerkin方案。我们展示了我们的高阶精确非结构化定心方法在可压缩多相流的二维和三维Baer-Nunziato方程中的应用，如在[4]中介绍的。

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