发动机活塞传热的三维无网格法模拟及试验验证  

Simulation of Engine Piston Heat Transfer With 3D Meshless Method and Its Experimental Verification

作　　者：张建平[1,2] 蒋炎坤[2] 万里平[2] 刘欣[2] 

机构地区：[1]湘潭大学机械工程学院,湘潭411105 [2]华中科技大学能源与动力工程学院,武汉430074

出　　处：《内燃机工程》2015年第3期85-91,共7页Chinese Internal Combustion Engine Engineering

基　　金：内燃机燃烧学国家重点实验实验室开放研究项目(K2012-08);教育部留学归国人员科研启动基金(教外司留[2011]1139)

摘　　要：利用三维光滑点插值无网格法(FS-PIM)建立了发动机活塞三维传热分析的计算模型,在FS-PIM中引入广义梯度光滑技术对协调梯度场进行修正;详细推导了活塞传热的三维无网格离散控制方程,并编写无网格法FORTRAN程序模拟了活塞的三维温度场。引用活塞温度的硬度塞法测试结果,对三维无网格法活塞温度计算结果进行对比验证,发现在复杂几何结构和混合边界条件传热问题中,其计算结果与有限元法、试验测试等结果吻合得较好,而且在相同节点布置和传热边界的前提下,无网格法的计算精度比传统有限元法高,更接近试验结果,说明计算模型是高效可行的。此外,FS-PIM法无需计算形函数的导数,比其他无网格法的计算成本要低,降低了对场函数连续性的要求。A calculation model of engine piston three-dimensional heat transfer was established based on the three-dimensional smooth point interpolation meshless method （FS-PIM）, and the coordinating gradient field was corrected by using the generalized gradient smoothing technique in the FS-PIM. The discrete governing equation based on three-dimensional meshless method for the piston heat transfer was derived in detail, and the piston temperature was simulated by using the meshless FORTRAN program. Meanwhile, the piston temperature tested with hardness plug was introduced to verify the temperature results simulated by the three-dimensional meshless method. It can be found that the meshless calculated results match very well with the results from finite element analysis and the tests regarding the heat transfer problem with complicated structure and mixed boundary conditions. In addition, the calculation accuracy of the meshless method is higher than that of the conventional finite element method on the premise of the same node arrangement and heat transfer boundary, and it is closer to the test results. It also shows that the present calculation model is highly efficient. Moreover, FS-PIM does not require the calculation of shape function derivative, thus reducing the continuity requirements on field function, and therefore its computing cost is lower than those of other meshless methods.

关 键 词：内燃机 活塞传热 三维无网格法 点插值 光滑梯度 

分 类 号：O241[理学—计算数学]