Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws

Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws
复制标题

双曲守恒定律的混合优化低耗散和自适应 MUSCL 重建技术

DOI:
10.1007/s10915-018-0717-7
复制
发表时间:
2018-04
影响因子:
2.5
通讯作者:
Yiyu Han
Yiyu Han
中科院分区:
数学2区
文献类型:
--
作者:
Jie Wu;Yuanyuan He;Guohao Ding;Yiyu Han

文献摘要

参考文献

相似文献

针对有限体积法提出了一种新的混合优化低耗散自适应MUSCL格式。该方案基于具有单调性限制的优化线性方案和自适应MUSCL方案,强调分辨率而不是形式阶数。该技术被应用于细胞界面重建,除了更宽的内插模板外,与广泛使用的MUSCL方法在形式上具有相似之处。虽然由于采用自适应MUSCL格式作为非线性部分,精度不是很高,但优化的线性部分的低耗散特性使其在许多实际应用中具有很高的精度和鲁棒性,在许多实际应用中,可以获得更丰富的流动结构。通过大量的测试实例验证了该方案的高分辨率。
A new hybrid optimized low-dissipation and adaptive MUSCL scheme is present for finite volume method. The proposed scheme, based on an optimized linear scheme with monotonicity preserving limitation and an adaptive MUSCL scheme, emphasizes on the resolution rather than the formal order. This technique is applied to cell interface reconstruction and bears similarity in form to the widely used MUSCL scheme except wider interpolation stencil. Although the scheme is not high order of accuracy because of adaptive MUSCL scheme acting as nonlinear part, the low-dissipation feature from the optimized linear part makes it very accurate and robust in many practical applications, where much richer flow structures can be obtained. A number of test cases are solved to validate the high resolution of the present scheme.
DOI: 10.1007/s10915-008-9239-z
发表时间: 2009-03
影响因子: 2.5
作者:
S. Gottlieb;D. Ketcheson;Chi-Wang Shu
通讯作者: S. Gottlieb;D. Ketcheson;Chi-Wang Shu
DOI: 10.1016/j.jcp.2013.04.017
发表时间: 2012-12
期刊: J. Comput. Phys.
影响因子: --
作者:
M. Dumbser;O. Zanotti;Arturo Hidalgo;D. Balsara
通讯作者: M. Dumbser;O. Zanotti;Arturo Hidalgo;D. Balsara
DOI: 10.1016/j.jcp.2011.02.038
发表时间: 2011-06
影响因子: 4.1
作者:
Sun Zhensheng;Ren Yuxin;Larricq C
通讯作者: Larricq C
DOI: 10.1006/jcph.1996.0130
发表时间: 1996-06-01
影响因子: 4.1
作者:
Jiang, GS;Shu, CW
通讯作者: Shu, CW
DOI: 10.1016/s0378-4754(02)00179-9
发表时间: 2003-02
期刊: Math. Comput. Simul.
影响因子: --
作者:
R. Spiteri;Steven J. Ruuth
通讯作者: R. Spiteri;Steven J. Ruuth