纺织高校基础科学学报Issue(4)：487-491,5.
求解一维双曲守恒律方程的网格自适应细化算法
An adaptive mesh refinement algorithm for one-dimensional hyperbolic conservation laws
摘要
Abstract
An adaptive mesh refinement algorithm is adopted to solve one‐dimensional hyperbolic conser‐vation laws ,which is based on a class of semi‐discrete central upwind Godunov type algorithm grid .A third‐order TVD‐Runge‐Kutta format is used in the time direction and WENO scheme is used in the dis‐crete space .At the same time ,a new discontinuity indicator is used to choose discontinuity region ,then refine this interval adaptively ,so the numerical solution has higher accuracy .In the numerical example , comparing the adaptive and non‐adaptive mesh grid results ,adaptive mesh refinement algorithm can cap‐ture the discontinuity region well and restrain non‐physical shocks effectively .关键词
Godunov型中心迎风/网格自适应细化/TVD-Runge-Kutta/WENO方法/间断探测器Key words
Godunov type central-upwind/adaptive mesh refinement/TVD-Runge-Kutta/WENO scheme/discontinuity indicator分类
数理科学引用本文复制引用
施海红,郑素佩,杨婷..求解一维双曲守恒律方程的网格自适应细化算法[J].纺织高校基础科学学报,2014,(4):487-491,5.基金项目
长安大学中央高校基本科研业务费资助项目 （）
