...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer physics communications >A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws
【24h】

A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws

机译：双曲守恒律的高阶对称加权混合ENO磁通限制器方案

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, we propose a new weighted essentially non-oscillatory (WENO) procedure for solving hyperbolic conservation laws, on uniform meshes. The new scheme combines essentially non-oscillatory (ENO) reconstructions together with monotone upwind schemes for scalar conservation laws' interpolants. In a one-dimensional context, first, we obtain an optimum polynomial on a five-cells stencil. This optimum polynomial is fifth-order accurate in regions of smoothness. Next, we modify a third-order ENO polynomial by choosing an additional point inside the stencil in order to obtain the highest accuracy when combined with the Harten-Osher reconstruction-evolution method limiter. Then, we consider the optimum polynomial as a symmetric and convex combination of four polynomials with ideal weights. After that, following the methodology of the classic WENO procedure, we calculate non-oscillatory weights with the ideal weights. Also, the numerical solution is advanced in time by means of the linear multi-step total variation bounded (TV B_0) technique. Numerical examples on both scalar and gas dynamics problems confirm that the new scheme is non-oscillatory and yields sharp results when solving profiles with discontinuities. Comparing the new scheme with high-order WENO schemes shows that our method reduces smearing near shocks and corners, and in some cases it is more accurate near discontinuities. Finally, the new method is extended to multi-dimensional problems by a dimension-by-dimension approach. Several multi-dimensional examples are performed to show that our method remains non-oscillatory while giving good resolution of discontinuities.
机译：在本文中，我们提出了一种新的加权基本非振荡（WENO）程序，用于求解均匀网格上的双曲守恒律。新方案实质上将非振荡（ENO）重建与用于标量守恒定律插值的单调迎风方案结合在一起。在一维上下文中，首先，我们在五单元模板上获得最佳多项式。该最佳多项式在平滑度区域中为五阶精度。接下来，我们通过在模板内选择一个附加点来修改三阶ENO多项式，以便在与Harten-Osher重建-演化方法限制器结合使用时获得最高的精度。然后，我们将最佳多项式视为具有理想权重的四个多项式的对称凸组合。然后，按照经典WENO程序的方法，我们计算出具有理想权重的非振荡权重。而且，借助于线性多步总有界有界（TV B_0）技术，数值解法在时间上有所提前。有关标量和气体动力学问题的数值示例证实了该新方案是非振荡性的，并且在求解具有不连续性的剖面时会产生清晰的结果。将新方案与高阶WENO方案进行比较表明，我们的方法减少了冲击和拐角处的拖尾现象，在某些情况下，它更接近不连续点。最后，通过逐维方法将新方法扩展到多维问题。执行了几个多维示例，以表明我们的方法在保持良好的不连续分辨率的同时仍保持非振荡性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号