不同层显式格式及在微尺度热传导中的应用

The Various Layer Explicit Schemes and Their Applications for Heat Transport Equations at the Microscale

基于指数拟合和牛顿插值多项式构造了用于数值计算偏微分方程的不同层显式格式,应用不同层显式格式可获得不同精度的数值计算结果,并将该算法应用于微结构热传导方程和薄膜强瞬态热传导方程中.

The various order explicit schemes based on exponential fitting and Newton interpolants are constructed for partial differential equations.The various precision can be achieved by employing the various order explicit schemes.When the schemes are applied to heat transport equations at the microscale and strong transient heat transport in thin film,the effects are admirable.Numerical calculations show the present method is high accurate and computationally efficient.