一维WENO格式及其在标量守恒方程数值计算中的应用

One-dimensional WENO Schemes and the Applications in the Numerical Calculations of the Scalar Conservation Equations

研究高阶精度加权本质无振荡(WENO)格式及其在标量守恒律方程中的应用.应用五阶WENO空间离散格式和三阶TVD Runger-kutta时间离散格式对一维标量守恒方程以及二维标量守恒方程进行了数值模拟.数值结果表明该格式具有高精度性和本质无振荡性.

High order accurate weighted essentially non-oscillatory （WENO） schemes are investigated and their applications of scalar conservation laws are discussed. The 1-D scalar conservation equation and 2-D scalar conserva- tion equation are numerically calculate using the 5-th order WENO schemes for space diseretization and the 3-th order TVD Runger-kutta method for time discretization, respectively. Numerical results show that the WENO schemes have high order accuracy and Essentially non-oscillatory.