Numerical Stability of Serial Staggered Methods inFluid-Structure Interaction Analysis of Solid Rocket Motors

Cho Hyun-Joo; Lee Jee-Ho; Lee Chang-Soo; Kim Chong-Am; Kim Shin-Hoe; Lee Jeong-Sub

doi:10.7734/COSEIK.2016.29.2.179

All Issue

2016 Vol.29, Issue 2 Preview Page Next Page

Numerical Stability of Serial Staggered Methods inFluid-Structure Interaction Analysis of Solid Rocket Motors 고체추진기관의 유동-구조 상호작용 해석에서Serial Staggered 기법의 수치 안정성

2016. pp. 179-185

PDF XML

Abstract

본 연구에서는 고체추진기관의 2차원 축대칭 FSI 해석에서 CSS 및 ISS 기법의 수치 안정성을 고찰하였다. 이를 위하여 CSS 및 ISS 기법을 2차원 축대칭 FSI 수치해석 알고리즘에 구현한 프로그램을 작성하고, 이를 ACM 및 BCM 고체추진기관의 복합거동 해석에 사용하였다. 해석 결과들을 비교 분석하여 ISS 기법이 고체추진기관 FSI 해석의 수치 안정성 개선에 효과적인지 검토하였다. 연구결과, ISS 기법을 적용한 FSI 해석은 시스템 시간간격이 작아질수록 수치적 수렴성을 보이며, CSS 기법과 다르게 시간이 진행되어도 수치해의 진동이 발산하지 않는 것을 확인할 수 있었다. 이를 통하여 ISS 기법을 사용하면 ACM 및 BCM의 FSI 해석에 CSS 기법을 이용할 시 나타나는 수치 불안정성을 개선할 수 있음을 확인하였다.

In this paper numerical stability of CSS and ISS schemes in axisymmetric fluid-structure-burning simulation for solid rocket motors are studied. The implemented CSS and ISS algorithms for two-dimensional axisymmetric FSI problems are used to analyze ACM and BCM solid rocket motors. Numerical results from CSS and ISS schemes are compared to investigate the efficacy of ISS scheme over CSS scheme in stabilizing the numerical solution. The ACM and BCM simulation results show that ISS scheme gives stable and converged numerical solutions with appropriately small system time step size, while CSS scheme fails to converge after generating rapidly amplified oscillatory solutions. It is concluded that ISS scheme can be useful in improving the numerical stability of FSI analysis for ACM and BCM solid rocket motor simulations, which is not successfully obtained with CSS scheme.

Keywords

고체추진기관, 유동-구조 상호작용, Conventional Serial Staggered 기법, Improved Serial Staggered 기법, 수치적 안정성

solid rocket motor, fluid-structure interaction, conventional serial staggered method, improved serial staggered method, numerical stability

References

M.W., Beckstead, R.L., Derr and C.F., Price, 1970. A Model of Composite Solid-propellant Combustion based on Multiple Flames. AIAA J., 8, pp.2200-2207.

10.2514/3.6087

P., Causin, J.F., Gerbeau and F., Nobile, 2005. Added-mass Effect in the Design of Partitioned Algorithms for Fluid-structure Problems. Comput. Methods appl. Mech. & Eng., 194, pp.4506-4527.

10.1016/j.cma.2004.12.005

Cho H.J. Lee C.S. Lee J.H. Kim C.A Park J.B Jin J.G. 2014A Stability Analysis for Fluid-Structure Interaction of Solid Rocket Motor with Conventional Serial Staggered MethodEnerg. & Def. Mater. Conf.1114

Dick W. Heath M. 2006Building Rocstar: Simulation Science for Solid Propellant Rocket Motors37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and ExhibitAIAA2006-4590

10.2514/6.2006-4590

C., Farhat and M. , Lesoinne, 2000. Two Efficient Staggered Algorithms for the Serial and Parallel Solution of Three-dimensional Nonlinear Transient Aeroelastic Problems. Comput. Methods appl. Mech. & Eng., 182, pp.499-515.

10.1016/S0045-7825(99)00206-6

C.A, Felippa, K.C., Park and C., Farhat, 2001. Partitioned Analysis of Coupled Mechanical Systems. Comput. Methods appl. Mech. & Eng., 190, pp.3247-3270.

10.1016/S0045-7825(00)00391-1

Fiedler R.A. Breitenfeld M.S. Jiao X. Haselbacher A Geubelle P. Guoy D. Brandyberry M. Geubelle 2002Simulations of Slumping Propellant and Flexing Inhibitors in Solid Rocket Motors38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and ExhibitAIAA 2002-43412910.2514/6.2002-4341

10.2514/6.2002-4341

Fiedler R. Jiao X. Namazifard A. Haselbacher A. Najjar F. Parsons I. 2001Coupled Fluidstructure 3-D Solid Rocket Motor Simulations37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and ExhibitAIAA 2001-39542910.2514/6.2001-3954

10.2514/6.2001-3954

S.H., Han and C.A., Kim, 2014. Integrated Fluid- Structure Simulation for Full Burning of a Solid- Propellant Rocket Interior. J. Propuls. & Power, 30, pp.883-900.

10.2514/1.B35107

Han S.H. Choi H.S Kim C.A. 2010ALE-Based FSI Simulation of Solid Propellant Rocket Interior48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.2910.2514/6.2010-52

10.2514/6.2010-52

Isaac D. Iverson M. 2003Automated Fluid- Structure Interaction AnalysisATK THIOKOL PROPULSION CORP BRIGHAM CITY UT.

10.21236/ADA435321

Jaiman R.K. Geubelle P.H. Loth E. Jiao X. 2007Stable and Accurate Loosely-coupled Scheme for Unsteady Fluid-structure InteractionAIAA Paper 3342910.2514/6.2007-334

10.2514/6.2007-334

Information

Publisher :Computational Structural Engineering Institute of Korea
Publisher(Ko) :한국전산구조공학회
Journal Title :Journal of the Computational Structural Engineering Institute of Korea
Journal Title(Ko) :한국전산구조공학회 논문집
Volume : 29
No :2
Pages :179-185
Received Date : 2016-01-28
Revised Date : 2016-01-18
Accepted Date : 2016-01-18
DOI :https://doi.org/10.7734/COSEIK.2016.29.2.179

Journal of the Computational Structural Engineering Institute of Korea ISSN:1229-3059(Print) 2287-2302(Online) 한국전산구조공학회 논문집

All Issue