守恒律和对流扩散方程的三阶半离散中心格式
A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
AI总结：
提出一种三阶半离散中心方法求解守恒律和对流扩散方程，基于CWENO重构，实现高精度、高分辨率和鲁棒性。
摘要：
我们提出了一种新的三阶半离散中心方法，用于近似求解多维双曲守恒律系统、对流扩散方程及相关问题的解。我们的方法是最近提出的二阶半离散方法[16]的高阶扩展。该方法独立于特定的分段多项式重构，该重构基于先前计算的单元平均值。我们通过关注[21]中提出的新的三阶CWENO重构来展示我们的结果。我们给出的数值结果表明，我们的方法具有所需的精度、高分辨率和鲁棒性。
英文摘要：
We present a new third-order, semi-discrete, central method for approximating solutions to multi-dimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semi-discrete method in [16]. The method is derived independently of the specific piecewise polynomial reconstruction which is based on the previously computed cell-averages. We demonstrate our results, by focusing on the new third-order CWENO reconstruction presented in [21]. The numerical results we present, show the desired accuracy, high resolution and robustness of our method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
