An Implicit Time-marching Scheme for Transonic Flow

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概要

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• An implicit time-marching finite-difference scheme is developed for computing steady two-dimensional inviscid transonic flows with arbitrary shaped boundaries. Most of the existing implicit time-marching schemes, including the Beam-Warming scheme, are unconditionally stable according to Neumann's stability criterion, but actually cannot take a sufficiently large Courant number, because the diagonally dominant condition of the coefficient matrix is lost. In the present scheme, in order to remove this restriction of the Courant number, the Robert-Weiss convective-difference scheme is applied in place of the Crank-Nicholson scheme in the Beam-Warming delta-form approximate-factorization algorithm. As a numerical example, shocked flows through a nozzle are calculated, and the results are compared with the one-dimensional theory.

• 一般社団法人日本機械学会の論文

著者

• Daiguji Hisaaki

  Department Of Aeronautics And Engineering Tohoku University

• Daiguji Hisaaki

  Department Of Mechanical Engineering Tohoku University

• Kuzuhara Motoshi

  Mitsubishi Research Institute Inc.

関連論文

• A Finite-Difference Scheme for Two-Dimensional Incompressible Turbulent Flows Using Curvilinear Coordinates
• An Unsteady Implicit SMAC Scheme for Two-Dimensional Incompressible Navier-Stokes Equations
• Convective-Difference Scheme Using a General Curvilinear Coordinate Grid for Incompressible Viscous Flow Problems
• An Efficient Time-marching Scheme for Solving Compressible Euler Equations
• Computation of Unsteady Transonic Cascade Flow Using the Euler and Navier-Stokes Equations of Contravariant Velocities
• Numerical Analysis of 3-D Potential Flow in Centrifugal Turbomachines
• An Implicit Time-marching Scheme for Transonic Flow

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