A CHEBYSHEV MATRIX-METHOD FOR THE SPATIAL MODES OF THE ORR-SOMMERFELD EQUATION

被引：7
|
作者：
DANABASOGLU, G
BIRINGEN, S
机构：
[1] Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1990年 / 11卷 / 07期
关键词：
Chebyshev; Eigenvalue; Nonlinear; Spectral;
D O I：
10.1002/fld.1650110709
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The Chebyshev matrix collocation method is applied to obtain the spatial modes of the Orr‐Sommerfeld equation for Poiseuille flow and the Blasius boundary layer. The problem is linearized by the companion matrix technique. For semi‐infinite domains a mapping transformation is used. The method can be easily adapted to problems with boundary conditions requiring different transformations. Copyright © 1990 John Wiley & Sons, Ltd
引用
收藏
页码：1033 / 1037
页数：5
相关论文
共 50 条
  • [1] SPATIAL CONTINUUM EIGENFUNCTIONS OF ORR-SOMMERFELD EQUATION
    SALWEN, H
    GROSCH, CE
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1977, 22 (10): : 1276 - 1276
  • [2] ACCURATE METHOD FOR SOLVING THE ORR-SOMMERFELD EQUATION
    VANSTIJN, TL
    VANDEVOOREN, AI
    JOURNAL OF ENGINEERING MATHEMATICS, 1980, 14 (01) : 17 - 26
  • [3] EIGENVALUES OF ORR-SOMMERFELD EQUATION
    GASTER, M
    JORDINSON, R
    JOURNAL OF FLUID MECHANICS, 1975, 72 (NOV11) : 121 - 133
  • [4] SPECTRA OF ORR-SOMMERFELD EQUATION
    MURDOCK, JW
    STEWARTSON, K
    PHYSICS OF FLUIDS, 1977, 20 (09) : 1404 - 1411
  • [5] The Orr-Sommerfeld equation on a manifold
    Bridges, TJ
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1988): : 3019 - 3040
  • [6] A trigonometric series expansion method for the Orr-Sommerfeld equation
    Ying TAN
    Weidong SU
    Applied Mathematics and Mechanics(English Edition), 2019, 40 (06) : 877 - 888
  • [7] A trigonometric series expansion method for the Orr-Sommerfeld equation
    Ying Tan
    Weidong Su
    Applied Mathematics and Mechanics, 2019, 40 : 877 - 888
  • [8] A trigonometric series expansion method for the Orr-Sommerfeld equation
    Tan, Ying
    Su, Weidong
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2019, 40 (06) : 877 - 888
  • [9] ASYMPTOTIC SOLUTIONS OF ORR-SOMMERFELD EQUATION
    DEVILLIERS, JM
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 280 (1295): : 271 - 316
  • [10] ON AN ASYMPTOTIC SOLUTION TO ORR-SOMMERFELD EQUATION
    PROSNAK, WJ
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1970, 18 (03): : 259 - &
12345