Analysis of One-Dimensional Inviscid and Two-Dimensional Viscous Flows Using Entropy Preserving Method

被引：0

作者：

Javadi, Ali ^{[1
]}

Pasandideh-Fard, Mahmoud ^{[1
]}

Malek-Jafarian, Majid ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Mech Engn, Mashhad, Iran

[2] Univ Birjand, Dept Mech Engn, Birjand, Iran

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2014年 / 39卷 / 10期

关键词：

Entropy preserving scheme; Discretization of conservation laws; Artificial viscosity and upwind schemes; CONSERVATION-LAWS; GENERATION MINIMIZATION; DIFFERENCE SCHEME; GAS-DYNAMICS; THERMODYNAMICS; FORMULATION; RESOLUTION; EQUATIONS; SYSTEMS; ENERGY;

D O I：

10.1007/s13369-014-1300-7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the entropy preserving (EP) scheme (which is introduced recently by Jameson) has been considered deeply and compared with the other artificial viscosity and upwind schemes. The discretization of the governing equations in the EP scheme is performed in such a way that the entropy is conserved in all those points with no shock. The purpose of this study was to introduce a stable numerical method that enters a minimum artificial dissipation only in the vicinity of shocks. In this paper, an inviscid one-dimensional flow through a convergent-divergent nozzle and a viscous two-dimensional flow with axial symmetry are considered. It is shown that the EP scheme is more accurate if the number of mesh points is increased; and in contrast to other schemes, there is no limit in increasing the number of points.

引用

页码：7315 / 7325

页数：11

共 28 条

[1]

Anderson John David, 1995, Computational Fluid Dynamics, V206

[2] Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes [J].