计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
16期
21-24
,共4页
间断有限元方法%LU-SGS算法%GMRES算法%限制器
間斷有限元方法%LU-SGS算法%GMRES算法%限製器
간단유한원방법%LU-SGS산법%GMRES산법%한제기
discontinuous Galerkin FEM%LU-SGS algorithm%GMRES algorithm%limiter
针对Euler方程，设计了适合间断Galerkin有限元方法的LU-SGS、GMRES以及修正LU-SGS隐式算法。采用Roe通量以及Van Albada限制器技术实现了经典LU-SGS、GMRES算法，引入高阶项误差补偿，发展了修正LU-SGS算法。以NACA0012、RAE2822翼型为例验证分析了算法的可靠性和高效性。结果表明修正LU-SGS算法存储量较少，程序实现方便，而且计算效率是LU-SGS算法的2.5倍以上，接近于循环GMRES算法。
針對Euler方程，設計瞭適閤間斷Galerkin有限元方法的LU-SGS、GMRES以及脩正LU-SGS隱式算法。採用Roe通量以及Van Albada限製器技術實現瞭經典LU-SGS、GMRES算法，引入高階項誤差補償，髮展瞭脩正LU-SGS算法。以NACA0012、RAE2822翼型為例驗證分析瞭算法的可靠性和高效性。結果錶明脩正LU-SGS算法存儲量較少，程序實現方便，而且計算效率是LU-SGS算法的2.5倍以上，接近于循環GMRES算法。
침대Euler방정，설계료괄합간단Galerkin유한원방법적LU-SGS、GMRES이급수정LU-SGS은식산법。채용Roe통량이급Van Albada한제기기술실현료경전LU-SGS、GMRES산법，인입고계항오차보상，발전료수정LU-SGS산법。이NACA0012、RAE2822익형위례험증분석료산법적가고성화고효성。결과표명수정LU-SGS산법존저량교소，정서실현방편，이차계산효솔시LU-SGS산법적2.5배이상，접근우순배GMRES산법。
The implicit schemes for solving Euler equation are investigated on unstructured grids, including LU-SGS, GMRES and improved LU-SGS schemes. By Roe numerical flux and Van Albada typed limiter, the traditional LU-SGS and GMRES schemes are explored, and the improved LU-SGS scheme is developed by adding the error compensation of high order term. In addition, the transonic inviscid flow around NACA0012 airfoil and RAE2822 airfoil as the examples are calculated. The numerical experiments indicate that the error compensation LU-SGS algorithm has the advantages of low storage requirements and easy programming, and the computational efficiency is close to GMRES algorithm and more than 2.5 times of LU-SGS one.
