配点型无网格法是纯无网格法,它不需要任何背景网格,效率高。本文用加权最小二乘配点方法(Weighted Least-Squares Collocation Method-WLSCM)计算不规则区域热传导问题,形函数采用径向基函数近似。通过二维具有分析解的实例表明WLSCM方法精度高,稳定性好且具有较高的计算效率。此外,将WLSCM方法应用于工程中常见的三维不规则区域热传导问题,结果表明:WLSCM方法的计算结果与FLUENT的计算结果符合很好。
The collocation method is a truly meshless method and requires no background meshes, which has high computational efficiency.In this paper,the weighted least-squares collocation method (WLSCM)is adopted to compute 3-D heat conduction problems in irregular domains.Radial basis function(RBF)is selected to construct the approximation function.A 2-D case that has analytical solution is simulated by the proposed method and the outcomes verify that the present method can obtain desired accuracy,stability and efficiency.Furthermore,the method is applied to compute two 3-D cases of heat conduction problems in irregular complex domains in engineering.The results of the present method are in good agreement with those of FLUENT.