Chebyshev super spectral viscosity method for water hammer analysis

被引：9

作者：

Chen, Hongyu ^{[1
]}

Liu, Hongjun ^{[1
]}

Chen, Jianhua ^{[1
]}

Wu, Lingjiu ^{[2
]}

机构：

[1] Xian Aerosp Prop Inst, Xian 710100, Shaanxi, Peoples R China

[2] Xichang Satellite Launch Ctr, Xichang 615000, Sichuan, Peoples R China

来源：

PROPULSION AND POWER RESEARCH | 2013年 / 2卷 / 03期

关键词：

Liquid propellant rocket engine(LPRE); Propellant transfer; Water hammer; Spectral method; Super spectral viscosity (SSV); Numerical simulation;

D O I：

10.1016/j.jppr.2013.07.004

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

In this paper, a new fast and efficient algorithm, Chebyshev super spectral viscosity (SSV) method, is introduced to solve the water hammer equations. Compared with standard spectral method, the method's advantage essentially consists in adding a super spectral viscosity to the equations for the high wave numbers of the numerical solution. It can stabilize the numerical oscillation (Gibbs phenomenon) and improve the computational efficiency while discontinuities appear in the solution. Results obtained from the Chebyshev super spectral viscosity method exhibit greater consistency with conventional water hammer calculations. It shows that this new numerical method offers an alternative way to investigate the behavior of the water hammer in propellant pipelines. (C) 2013 National Laboratory for Aeronautics and Astronautics. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：201 / 207

页数：7

共 17 条

[1]

Bashid A., 2010, APPL COMPUT MATH, V9, P104

[2]

Canuto C., 2006, SCIENTIF COMPUT, DOI 10.1007/978-3-540-30726-6

[3]

Chen M, 2008, APPL COMPUT MATH-BAK, V7, P206

[4]

Chudhury M.H., 1985, J FLUIDS ENG, V107, P523

[5]

LIU KX, 1998, J CHIN MASS SPECTROM, V19, P1

[6] Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws [J].

Ma, HP .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (03) :893-908

[7]

Majumdar A.K., 2003, P 4 ASME JSME JOINT

[8] Modelling one-dimensional unsteady flows in ducts: Symmetric finite difference schemes versus Galerkin discontinuous finite element methods [J].

Onorati, A ;

Perotti, M ;

Rebay, S .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1997, 39 (11) :1213-1236

[9]

Peyret R., 2002, SPECTRAL METHODS INC

[10]

Ruth E.K., 1990, 90229 AIAA

← 1 2 →