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流体力学方程组一类人为解构造方法 被引量:9

One Method of Manufactured Solutions to 2D Hydrodynamics Euler Equations
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摘要 针对柱对称二维流体力学方程组,基于考虑方程右端附加源项的人为构造解方法,构造出一类统一形式的人为解.此类形式的人为解,对验证多维流体力学应用程序的正确性有重要的作用.同时将该类统一形式的人为解应用到PPM格式的程序,验证了构造的人为解的可行性. In this paper, we constructed manufactured solutions of 2D hydrodynamic Euler equations based on the artificially additional source terms. The manufactured solutions are important to code verification in CFD simulation. We applied this manufactured solutions to the code with PPM scheme. That verified the manufactured solutions in this paper be feasibility to code verification.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第8期176-182,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11072039 11076015) 中物院科学基金(2011B0202043)
关键词 流体力学方程组 人为解 程序验证 hydrodynamic Euler equations manufactured solutions code verification
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参考文献7

  • 1Salari K, Knupp P. Code verifaction by the method of manufactured solutions[J]. Sandia National Laboratores, SAND200-1444(2000).
  • 2Roy C J. Revier of code and solution verification procedures for computational simulation[J]. Journal of Computational Physics, 205(2005): 143-162.
  • 3Roy C J, Nelson C C, et.al, verification of Euler/Navier-stokes codes using the method of manufac- tured solutions[J]. J Numer Meth Fluids, 2004, 44(6): 599-620.
  • 4Farrel P E, et.al. Automated continuous verification for numerical simulaiton[J]. Geosci Model Dev, 2011(4): 435-449.
  • 5Roache P J. Verification of code and calculations[J]. AIAA J, 1998(16): 696-702.
  • 6曾现洋,刘睿,刘希强.人为解与人为解方法[J].聊城大学学报(自然科学版),2010,23(1):71-75. 被引量:11
  • 7Collela P, Woodward P R. The piecewise parabolic method(PPM) for gas-dynamical simulations[J] Journal of Compuational Physics, 1998(54): 174-201.

二级参考文献14

  • 1袁国兴 王瑞利 林忠等.科学计算程序的验证和确认.高性能计算发展与应用,2007,(3):19-24.
  • 2Steinberg S,Roache P J.Symbolic manipulation and computational fluid dynamics[J].AIAA J,1984,22(10):1 390-139.
  • 3Roache P J.Verification of codes and calculations[J].AIAA J,1998,16:696-702.
  • 4Salari K,Knupp P.Code Verification by the method of manufactured solutions[OB/OL] ,http://www.osti.gov/bridge/servlets/purl/75940-WLI4Ux/native/759450.pdf.
  • 5Roy C J.Review of code and solution verification procedures for computational simulation[J].Journal of Computational Physics,2005,205:131-156.
  • 6Knupp P,Salari K.In K H Rosen (Ed.),Verification of computer codes in computational science and engineering[M].Chapman and Hill/CRC,Boca,Raton,FL,2003.
  • 7Oberkampf W L,Trucano T G.Verification and validation in computational fluid dynamics[J].Progress in Aerospace Sciences,2002,38(3):209-272.
  • 8Eca L,Hoekstra M.Evaluation of numerical error estimation based on grid refinement studies with the method of the manufactured solutions[J].Computers & Fluids,2009,38(8):1 580-1 591.
  • 9Burg C O E,Marali V K.Efficient code verification using the residual formulation of the method of manufactured solutions[A].AIAA Paper 2 004-2 628,34th AIAA Fluid Dynamics Conference,Portland,Oregon,June,2004.
  • 10Roy C J,Nelson C C,Smith T M,et al.tion of Euler/Navier-Stokes codes using the method of manufactured solutions[J].Int J Numer eth Fluids,2004,44:9-20.

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