@Article{CiCP-29-128,
author = {Zhang , ShengqiXia , Zhenhua and Chen , Shiyi},
title = {A CFD-Aided Galerkin Method for Global Linear Instability Analysis},
journal = {Communications in Computational Physics},
year = {2020},
volume = {29},
number = {1},
pages = {128--147},
abstract = {<p style="text-align: justify;">Global linear instability analysis is a powerful tool for the complex flow diagnosis. However, the methods used in the past would generally suffer from some disadvantages, either the excessive computational resources for the low-order methods or
the tedious mathematical derivations for the high-order methods. The present work
proposed a CFD-aided Galerkin methodology which combines the merits from both
the low-order and high-order methods, where the expansion on proper basis functions is preserved to ensure a small matrix size, while the differentials, incompressibility constraints and boundary conditions are realized by applying the low-order
linearized Navier-Stokes equation solvers on the basis functions on a fine grid. Several test cases have shown that the new method can get satisfactory results for one-dimensional, two-dimensional and three-dimensional flow problems and also for the
problems with complex geometries and boundary conditions.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0041},
url = {http://global-sci.org/intro/article_detail/cicp/18425.html}
}