A high order ENO conservative Lagrangian type scheme for the compressible Euler equations

作者：Cheng Juan; Shu Chi Wang^*

来源：Journal of Computational Physics, 2007, 227(2): 1567-1596.

DOI：10.1016/j.jcp.2007.09.017

• Lagrangian type scheme
• high order accuracy
• conservative scheme
• ENO reconstruction
• compressible Euler equations
• ALE method

We develop a class of Lagrangian type schemes for solving the Euler equations of compressible gas dynamics both in the Cartesian and in the cylindrical coordinates. The schemes are based on high order essentially non-oscillatory (ENO) reconstruction. They are conservative for the density, momentum and total energy, can maintain formal high order accuracy both in space and time and can achieve at least uniformly second-order accuracy with moving and distorted Lagrangian meshes, are essentially non-oscillatory, and have no parameters to be tuned for individual test cases. One and two-dimensional numerical examples in the Cartesian and cylindrical coordinates are presented to demonstrate the performance of the schemes in terms of accuracy, resolution for discontinuities, and non-oscillatory properties.

• 出版日期2007-12-10
• 单位北京应用物理与计算数学研究所