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Analytic solutions of hydrodynamics equations

 

作者: S. V. Coggeshall,  

 

期刊: Physics of Fluids A  (AIP Available online 1991)
卷期: Volume 3, issue 5  

页码: 757-769

 

ISSN:0899-8213

 

年代: 1991

 

DOI:10.1063/1.858008

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Many similarity solutions have been found for the equations of one‐dimensional (1‐D) hydrodynamics. These special combinations of variables allow the partial differential equations to be reduced to ordinary differential equations, which must then be solved to determine the physical solutions. Usually, these reduced ordinary differential equations are solved numerically. In some cases it is possible to solve these reduced equations analytically to obtain explicit solutions. In this work a collection of analytic solutions of the 1‐D hydrodynamics equations is presented. These can be used for a variety of purposes, including (i) numerical benchmark problems, (ii) as a basis for analytic models, and (iii) to provide insight into more complicated solutions.

 

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