以中心- 迎风数值格式研究具有外力项的p 系统

本文以半离散中心- 迎风数值格式研究具有外力项的p 系统. 中心型数值格式用来处理双曲型守恒律或系统的优势是快速且简单, 因为不需要使用近似Riemann 解, 也不需要做特征分解. 我们的数值模拟验证了理论研究结果: 具有外力项的p 系统的解的收敛及爆破行为, 同时也指出一些尚待理论研究的问题.

Numerical study on p-system with force terms via central-upwind schemes

In this paper,we study p-system with force terms via semi-discrete central-upwind schemes.The advantage of using central-typed schemes to simulate hyperbolic conservation laws is its efficiency and simplicity,because there is no need of approximate Riemann solver and field decomposition.In our numerical study,we confirm the theoretical results on solution behaviors of p-system with nonlinear forces：convergence and blowup phenomenon.Meanwhile,our numerical study points out some open problems for further theoretical study.