期刊文献+

抛物型方程的人为解问题 被引量:1

The Method of Manufactured Solution of Parabolic Differential Equation
下载PDF
导出
摘要 利用FORTRAN和MATLAB软件,详细阐述了抛物型偏微分方程人为解方法和应用步骤,误差分析等,最后又给出了相应的程序清单. The article,using the FORTAN and MATLAB software,detailed the method and its applicant process of manufactured solution in parabolic differential equation,and discussed error analysis. Related programs were presented out eventually.
作者 刘睿 曾现洋
出处 《聊城大学学报(自然科学版)》 2011年第1期96-100,共5页 Journal of Liaocheng University:Natural Science Edition
基金 国家自然科学基金和中物院联合基金资助课题(11076015)
关键词 抛物型方程 人为解 程序验证 误差分析 Euclid范数 parabolic differential equation,manufactured solution,code verification,error analysis, Euclid matrix norms
  • 相关文献

参考文献2

  • 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.
  • 2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

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.

共引文献11

同被引文献3

  • 1Salari kambiz, Patrick Knupp. Code Verification by the Method of Manufactrued Solutions[R]. SANDIA REPORT, SAND20001444,2000.
  • 2袁国兴 王瑞利 林忠 等.科学计算程序的验证与确认.高性能计算发展与应用,2007,:17-24.
  • 3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

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部