无网格局部Petrov-Galerkin方法是近十年发展起来的一种新的数值计算方法,该方法在计算区域内布置一些离散的节点,并利用这些节点构建捕值函数.本文以Smith-Hutton问题为例,把该方法的计算结果与有限容积法高阶格式的计算结果进行比较.研究结果表明:该方法是一种高精度的数值计算方法,能有效地计算高Pe数的流动问题.
参考文献
[1] | Atluri S N;Shen S P.The Meshless Local Petrov-Galerkin (MLPG) Method[M].California:Tech Science Press,2002 |
[2] | Belytschko T;Krongauz Y;Organ D et al.Meshless Methods:an Overview and Recent Developments[J].Computer Methods in Application Mechanics Engineering,1996,139:3-47. |
[3] | Monghan J J .Smoothed Particle Hydrodynamics[J].Annual Review of Astronomy and Astrophysics,1993,30:543-574. |
[4] | Chen JK;Beraun JE;Carney TC .A Corrective Smoothed Particle Method for Boundary Value Problems in Heat Conduction[J].International Journal for Numerical Methods in Engineering,1999,46:231-252. |
[5] | Singh A;Singh IV;Prakash R .Numerical Solution of Temperature-Dependent Thermal Conductivity Problems Using a Meshless Mtheod[J].Numerical Heat Transfer Part A,2006,50:125-145. |
[6] | Singh IV;Sandeep K;Prakash R .Heat Transfer Analysis of Two-Dimensional Fins Using Meshless Element-Free Galerkin Method[J].Numerical Heat Transfer Part A,2003,44(01):73-84. |
[7] | I. V. Singh;K. Sandeep;Ravi Prakash .The element free Galerkin method in three dimensional steady state heat conduction[J].International Journal of Computational Engineering Science(IJCES),2002(3):291-303. |
[8] | Atluri SN.;Zhu T. .A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics[J].Computational Mechanics,1998(2):117-127. |
[9] | Smith RV;Hutton AG .The Numerical Treatment of Advection:a Performance Comparison of Current Methods[J].Numerical Heat Transfer,1982,5:43-461. |
[10] | 陶文铨.计算传热学的近代进展[M].北京:科学出版社,2000:360-361. |
[11] | Leonard BP;Mokhtari S .ULTRA-SHARP solution of the Smith-Hutton Problem[J].International Journal of Heat and Fluid Flow,1992,2:407-427. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%