Solution method for singular initial value problems of one-dimensional steady transonic flow in a dual-mode scramjet

Tao Cui; Da Ren Yu; Wen Bao

doi:10.1016/S1000-9361(11)60312-9

Solution method for singular initial value problems of one-dimensional steady transonic flow in a dual-mode scramjet

Tao Cui^*
, Da Ren Yu
, Wen Bao

^*Corresponding author for this work

School of Energy Science and Engineering

School of Energy Science and Engineering, Harbin Institute of Technology
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Singular initial value problems arise in solving one-dimensional steady transonic flow of dual-mode scramjet. The existing solution method has the problems of large initial value errors in principles. This paper puts forward an improved algorithm based on variable transformation, and constructs a non-singular one-dimensional steady transonic flow equation by defining a new variable. The improved algorithm can eliminate the singularity of the differential equation, and can solve the singular initial value problems of one-dimensional steady transonic flow of dual-mode scramjet.

Original language	English
Pages (from-to)	97-101
Number of pages	5
Journal	Chinese Journal of Aeronautics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/S1000-9361(11)60312-9
State	Published - May 2005

Keywords

One-dimensional analysis
Scramjet
Singular initial value problem
Transonic flow

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10.1016/S1000-9361(11)60312-9

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title = "Solution method for singular initial value problems of one-dimensional steady transonic flow in a dual-mode scramjet",

abstract = "Singular initial value problems arise in solving one-dimensional steady transonic flow of dual-mode scramjet. The existing solution method has the problems of large initial value errors in principles. This paper puts forward an improved algorithm based on variable transformation, and constructs a non-singular one-dimensional steady transonic flow equation by defining a new variable. The improved algorithm can eliminate the singularity of the differential equation, and can solve the singular initial value problems of one-dimensional steady transonic flow of dual-mode scramjet.",

keywords = "One-dimensional analysis, Scramjet, Singular initial value problem, Transonic flow",

author = "Tao Cui and Yu, \{Da Ren\} and Wen Bao",

year = "2005",

month = may,

doi = "10.1016/S1000-9361(11)60312-9",

language = "英语",

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T1 - Solution method for singular initial value problems of one-dimensional steady transonic flow in a dual-mode scramjet

AU - Cui, Tao

AU - Yu, Da Ren

AU - Bao, Wen

PY - 2005/5

Y1 - 2005/5

N2 - Singular initial value problems arise in solving one-dimensional steady transonic flow of dual-mode scramjet. The existing solution method has the problems of large initial value errors in principles. This paper puts forward an improved algorithm based on variable transformation, and constructs a non-singular one-dimensional steady transonic flow equation by defining a new variable. The improved algorithm can eliminate the singularity of the differential equation, and can solve the singular initial value problems of one-dimensional steady transonic flow of dual-mode scramjet.

AB - Singular initial value problems arise in solving one-dimensional steady transonic flow of dual-mode scramjet. The existing solution method has the problems of large initial value errors in principles. This paper puts forward an improved algorithm based on variable transformation, and constructs a non-singular one-dimensional steady transonic flow equation by defining a new variable. The improved algorithm can eliminate the singularity of the differential equation, and can solve the singular initial value problems of one-dimensional steady transonic flow of dual-mode scramjet.

KW - One-dimensional analysis

KW - Scramjet

KW - Singular initial value problem

KW - Transonic flow

UR - https://www.scopus.com/pages/publications/28444490679

U2 - 10.1016/S1000-9361(11)60312-9

DO - 10.1016/S1000-9361(11)60312-9

M3 - 文章

AN - SCOPUS:28444490679

SN - 1000-9361

VL - 18

SP - 97

EP - 101

JO - Chinese Journal of Aeronautics

JF - Chinese Journal of Aeronautics

IS - 2

ER -

Solution method for singular initial value problems of one-dimensional steady transonic flow in a dual-mode scramjet

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Keywords

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