摘要
以四阶CWENO重构为基础,通过将对流项采用低耗散中心迎风格式离散,扩散项采用四阶中心差分格式离散,对得到的半离散格式采用四阶龙格库塔方法在时间方向上推进,得到一种求解对流扩散方程的高阶有限差分格式.数值结果验证了该格式的四阶精度和基本无振荡特性.
A fourth order finite difference scheme is proposed for solving convection-diffusion equations. The convection term is discretized by a low dissipation central-upwind scheme and the diffusion term is discretized by a fourth order central difference scheme. After that, a fourth order Runge-Kutta method is employed to advance in time. Numerical results verify the desired accuracy and almost non-oscillation of our scheme.
出处
《应用数学》
CSCD
北大核心
2017年第2期344-349,共6页
Mathematica Applicata
基金
国家自然科学基金(11601037
11401045)
中央高校基金科研业务费(310812171002)
关键词
对流扩散方程
低耗散中心迎风格式
CWENO重构
Convection-diffusion equation
Low dissipation central-upwind flux
CWENO reconstruction