Numerical Analysis of the Spectrum of Plane–Parallel Flows

被引：0
|
作者：
Darmaev T. [1 ]
Abiduev P. [1 ]
机构：
[1] Buryat State University, 24a, Smolina St, Ulan-Ude
来源：
Journal of Mathematical Sciences | 2024年 / 279卷 / 6期
关键词：
D O I：
10.1007/s10958-024-07059-3
中图分类号：
学科分类号：
摘要：
Based on the Galerkin method with Chebyshev polynomials, we numerically solve the Orr-Sommerfeld problem with high accuracy. We calculate the spectra of the planeparallel Poisseuille and Couette flows, the Blasius flow, and flows with pressure gradient above a flat semi-infinite plate for different values of the wave number and the Reynolds number. © Springer Nature Switzerland AG 2024.
引用
收藏
页码：776 / 781
页数：5
相关论文
共 50 条
  • [31] ON A GENERALIZATION OF SYNGE CRITERION FOR SUFFICIENT STABILITY OF PLANE PARALLEL FLOWS
    PAI, SI
    QUARTERLY OF APPLIED MATHEMATICS, 1954, 12 (02) : 204 - 206
  • [32] Bounds on the energy stability limit of plane parallel shear flows
    Kaiser, R
    Schmitt, BJ
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2001, 52 (04): : 573 - 596
  • [33] Upon solutions to the transonic plane-parallel gas flows
    Yufeng Zhang
    Chao Yue
    Xiangzhi Zhang
    Advances in Difference Equations, 2019
  • [34] Problems on Plane-Parallel Filtration Flows with Sources at the Boundaries
    Piven', V. F.
    DIFFERENTIAL EQUATIONS, 2020, 56 (09) : 1181 - 1192
  • [35] Problems on Plane-Parallel Filtration Flows with Sources at the Boundaries
    V. F. Piven’
    Differential Equations, 2020, 56 : 1181 - 1192
  • [36] A unified approach for symmetries in plane parallel turbulent shear flows
    Oberlack, M
    JOURNAL OF FLUID MECHANICS, 2001, 427 : 299 - 328
  • [37] Upon solutions to the transonic plane-parallel gas flows
    Zhang, Yufeng
    Yue, Chao
    Zhang, Xiangzhi
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [38] Plane-Parallel and Axisymmetric Flows with a Straight Sonic Line
    A. N. Kraiko
    N. I. Tillyayeva
    T. V. Shamardina
    Computational Mathematics and Mathematical Physics, 2019, 59 : 610 - 629
  • [39] A comparison of parallel algorithms for the numerical simulation of multiphase flows
    Wassen, E
    Frank, T
    Yu, Q
    ADVANCES IN COMPUTATIONAL MECHANICS WITH PARALLEL AND DISTRIBUTED PROCESSING, 1997, : 179 - 185
  • [40] A parallel algorithm for the detailed numerical simulation of reactive flows
    Cadafalch, MSJ
    Consul, R
    Claramunt, K
    Oliva, A
    PARALLEL COMPUTATIONAL FLUID DYNAMICS: TOWARDS TERAFLOPS, OPTIMIZATION, AND NOVEL FORMULATIONS, 2000, : 389 - 396
12345