TY - JOUR

T1 - Computation of Transonic Cascade Flow Using the Euler and Navier-Stokes Equations of Contravariant Velocities

AU - Yamamoto, Satoru

AU - Daiguji, Hisaaki

AU - Ito, Kazumichi

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1989

Y1 - 1989

N2 - Implicit time-marching finite-difference methods for solving the two- and three-dimensional compressible Euler and Navier-Stokes equations are presented. The distinctive feature of these methods is to use the momentum equations of contravariant velocity components. By using such equations, accurate and easy treatments of the solid wall boundary condition are realized for the Euler equations, and simple treatments of he periodic boundary condition become possible for the impeller flows. The numerical method are based on the Beam-Warming delta-form approximate-factorization scheme, and take into consideration the diagonalization and upstreaming by the theory of characteristics. The computations of turbulent flows are implemented using the two-equation k-ε turbulence model with the law of the wall. Finally, some numerical results of transonic cascade flow are shown.

AB - Implicit time-marching finite-difference methods for solving the two- and three-dimensional compressible Euler and Navier-Stokes equations are presented. The distinctive feature of these methods is to use the momentum equations of contravariant velocity components. By using such equations, accurate and easy treatments of the solid wall boundary condition are realized for the Euler equations, and simple treatments of he periodic boundary condition become possible for the impeller flows. The numerical method are based on the Beam-Warming delta-form approximate-factorization scheme, and take into consideration the diagonalization and upstreaming by the theory of characteristics. The computations of turbulent flows are implemented using the two-equation k-ε turbulence model with the law of the wall. Finally, some numerical results of transonic cascade flow are shown.

KW - Compressible Flow

KW - Euler Equations

KW - Finite-Difference Method

KW - Implicit Time-Marching Method

KW - Navier-Stokes Equations

KW - Numerical Analysis

KW - Transonic Cascade Flow

KW - k-ɛ Turbulence Model

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U2 - 10.1299/kikaib.55.1943

DO - 10.1299/kikaib.55.1943

M3 - Article

AN - SCOPUS:0024705896

VL - 55

SP - 1943

EP - 1951

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 515

ER -