A time discontinuous Galerkin isogeometric analysis method for non-Fourier thermal wave propagation problem
A time discontinuous Galerkin isogeometric analysis method for non-Fourier thermal wave propagation problem
复制标题
非傅里叶热波传播问题的时间不连续伽辽金等几何分析方法
DOI：
10.1108/ec-08-2018-0377
复制
发表时间：
2019-08
影响因子：
1.6
通讯作者：
Guo Pan
中科院分区：
文献类型：
--
作者：
Xia Yang;Guo Pan
Purpose
Numerical instability such as spurious oscillation is an important problem in the simulation of heat wave propagation. The purpose of this study is to propose a time discontinuous Galerkin isogeometric analysis method to reduce numerical instability of heat wave propagation in the medium subjected to heat sources, particularly heat impulse.
Design/methodology/approach
The essential vectors of temperature and the temporal gradients are assumed to be discontinuous and interpolated individually in the discretized time domain. The isogeometric analysis method is applied to use its property of smooth description of the geometry and to eliminate the mesh-dependency. An artificial damping scheme with proportional stiffness matrix is brought into the final discretized form to reduce the numerical spurious oscillations.
Findings
The numerical spurious oscillations in the simulation of heat wave propagation are effectively eliminated. The smooth description of geometry with spline functions solves the mesh-dependency problem and improves the numerical precision.
Originality/value
The time discontinuous Galerkin method is applied within the isogeometric analysis framework. The proposed method is effective in the simulation of the wave propagation problems subjecting to impulse load with numerical stability and accuracy.
登录
查看更多内容
影响因子：
1.6
作者：
Sapna Pandit;Ram Jiwari;Karan Bedi;M. E. Koksal
通讯作者：
Sapna Pandit;Ram Jiwari;Karan Bedi;M. E. Koksal
DOI：
10.1016/0022-5096(67)90024-5
发表时间：
1967-01-01
影响因子：
5.3
作者：
LORD, HW;SHULMAN, Y
通讯作者：
SHULMAN, Y
DOI：
10.1016/j.enganabound.2015.04.002
发表时间：
2015-11
影响因子：
3.3
作者：
W. Yao;Hongxiao Yao;Bo Yu
通讯作者：
W. Yao;Hongxiao Yao;Bo Yu
影响因子：
2
作者：
GREEN, AE;NAGHDI, PM
通讯作者：
NAGHDI, PM
影响因子：
1.6
作者：
Jianping Huang;Wenyuan Liao;Zhenchun Li
通讯作者：
Jianping Huang;Wenyuan Liao;Zhenchun Li