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Applied Mathematics and Mechanics

, Volume 38, Issue 1, pp 111–124 | Cite as

Research of influence of reduced-order boundary on accuracy and solution of interior points

  • Yunlong Li
  • Wei CaoEmail author
Article
  • 30 Downloads

Abstract

The flow field with a high order scheme is usually calculated so as to solve complex flow problems and describe the flow structure accurately. However, there are two problems, i.e., the reduced-order boundary is inevitable and the order of the scheme at the discontinuous shock wave contained in the flow field as the supersonic flow field is low. It is questionable whether the reduced-order boundary and the low-order scheme at the shock wave have an effect on the numerical solution and accuracy of the flow field inside. In this paper, according to the actual situation of the direct numerical simulation of the flow field, two model equations with the exact solutions are solved, which are steady and unsteady, respectively, to study the question with a high order scheme at the interior of the domain and the reduced-order method at the boundary and center of the domain. Comparing with the exact solutions, it is found that the effect of reduced-order exists and cannot be ignored. In addition, the other two model equations with the exact solutions, which are often used in fluid mechanics, are also studied with the same process for the reduced-order problem.

Keywords

reduced-order boundary shock wave accuracy numerical solution high order scheme 

Chinese Library Classification

O302 O354.1 O357.1 

2010 Mathematics Subject Classification

76M20 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of MechanicsTianjin UniversityTianjinChina

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