首页> 美国政府科技报告 >First-Order Hyperbolic System Method for Time-Dependent Advection- Diffusion Problems
【24h】

First-Order Hyperbolic System Method for Time-Dependent Advection- Diffusion Problems

机译:时间对流 - 扩散问题的一阶双曲系统方法

获取原文

摘要

A time-dependent extension of the first-order hyperbolic system method J. Comput. Phys., 227 (2007) 315-352 for advection-diffusion problems is introduced. Diffusive/viscous terms are written and discretized as a hyperbolic system, which recovers the original equation in the steady state. The resulting scheme orders advantages over traditional schemes: a dramatic simplification in the discretization, high-order accuracy in the solution gradients, and orders-of-magnitude convergence acceleration. The hyperbolic advection-diffusion system is discretized by the second-order upwind residual- distribution scheme in a unified manner, and the system of implicit-residual- equations is solved by Newton's method over every physical time step. The numerical results are presented for linear and nonlinear advection-diffusion problems, demonstrating solutions and gradients produced to the same order of accuracy, with rapid convergence over each physical time step, typically less than five Newton iterations.

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