具有非线性slip边界条件的Smagorinsky模型有限元误差估计

The Finite Element Error Estimation for Smagorinsky Model with Nonlinear Slip Boundary Conditions

Smagorinsky模型是大涡模拟中常见的数学模型,研究求解了具有非线性slip边界条件的Smagorinsky模型有限元方法,并且根据理论所得的有限元误差估计,设计数值模拟实验,通过六个不同网格尺度下的有限元逼近解与真实解的相对误差验证理论所得结果的准确性.

Smagorinsky Model is common in large eddy simulation mathematical model.This paper mainly studies to solve the Smagorinsky model finite element method with nonlinear slip boundary conditions and the error estimation is based on the finite element theory so as to design a numerical simulation experiment.The relative error data under six different grid scales between the finite element approximation solution and the truth solution verify the accuracy of the theoretical analysis.