【摘要】 应用提出的中心加权基本无振荡(CWENO)-型熵相容格式求解了二维双曲守恒律方程初边值问题,对所得数值结果进行了分析与讨论,并通过与准确解的比较发现该数值求解格式稳定性条件可以取到0.6,而激波过渡带只有1～2个网格单元。实验结果表明该数值求解格式分辨率高且数值稳定性好。更多还原

【Abstract】 This paper advanced the Central Weighted Essentially Nonoscillatory(CWENO)-type entropy consistent schemes to simulate the two-dimensional conservation laws of the initial boundary value problem.The numerical results were analyzed and compared with the exact solutions.It is pointed out that the courant-friedrich-lewy can attain 0.6 and shock transition zone is one or two cells.The results indicate that the new numerical method in this paper has high-resolution and strong stability.更多还原