TY - JOUR
T1 - A CFD-Aided Galerkin Method for Global Linear Instability Analysis
AU - Zhang , Shengqi
AU - Xia , Zhenhua
AU - Chen , Shiyi
JO - Communications in Computational Physics
VL - 1
SP - 128
EP - 147
PY - 2020
DA - 2020/11
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2020-0041
UR - https://global-sci.org/intro/article_detail/cicp/18425.html
KW - Global linear instability, spatial discretization, Galerkin method.
AB - <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>