## Abstract

An implicit time-marching finite-difference scheme is proposed for analysing steady two-dimensional inviscid transonic flows. The scheme is based on the well-known Beam-Warming delta-form approximate factorization scheme, but this is improved on the following two points: ( i ) In order to treat the fixed wall boundary condition without difficulty, momentum equations of contravariant velocity components as fundamental equations in curvilinear coordinates are used. (ii) To calculate stably with a sufficiently large Courant number, the central-difference of the Crank-Nicholson method is replaced by the upstream-difference of the Robert-Weiss method. The upstreaming is performed on the basis of the theory of characteristics and does not influence the accuracy of the solution. The flows through a converging-diverging nozzle and over a symmetric wing are calculated. The calcutated results agree well with the existing theories.

Original language | English |
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Pages (from-to) | 248-254 |

Number of pages | 7 |

Journal | Transactions of the Japan Society of Mechanical Engineers Series B |

Volume | 52 |

Issue number | 473 |

DOIs | |

Publication status | Published - 1986 Jan 1 |

Externally published | Yes |

## Keywords

- Compressible Flow
- Numerical Analysis
- Shock Capturing Method
- Time-Marching Method Finite-Difference Method
- Transonic Flow

## ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanical Engineering