A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers
讲座名称:
A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers
讲座时间:
2016-11-01
讲座人:
李杰权
形式:
校区:
兴庆校区
实践学分:
讲座内容:
应数学与统计学院的邀请,北京应用物理与计算数学研究所李杰权研究员将来校讲学,报告信息如下:
讲座题目:A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers
讲座时间:11月1日上午10:10 - 11:10
讲座地点:理科楼407
讲座摘要:
In this paper we develop a novel two-stage fourth order time-accurate discretization for time-dependent flow problems, particularly for hyperbolic conservation laws. Different from the classical Runge-Kutta (R-K) temporal discretization for first order Riemann solvers as building blocks, the current approach is solely associated with Lax-Wendroff (L-W) type schemes as the building blocks. As a result, a two-stage procedure can be constructed to achieve a fourth order temporal accuracy, rather than using well-developed four stages for R-K methods. The generalized Riemann problem (GRP) solver is taken as a representative of L-W type schemes for the construction of a two-stage fourth order scheme.
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