Bibliographic Details
| Title: |
Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number. |
| Authors: |
Su, Haiyan1 shymath@163.com, Feng, Xinlong1 fxlmath@xju.edu.cn, He, Yinnian1,2 heyn@mail.xjtu.edu.cn |
| Source: |
International Communications in Heat & Mass Transfer. Feb2017, Vol. 81, p229-249. 21p. |
| Subjects: |
Defect correction methods (Numerical analysis), Finite element method, Crank-Nicolson method, Heat conduction, Heat convection, Reynolds number |
| Abstract: |
A defect-correction finite element (FE) method is designed and analyzed for solving the two-dimensional (2D) transient conduction-convection problem at high Reynolds number. The method combines the merits of Crank-Nicolson (CN) extrapolation discretization and defect-correction scheme, which consists of solving a linearized problem with an added artificial viscosity term and then correcting the previous numerical solutions by a linearized defect-correction technique. The stability and optimal error estimate of the fully discrete scheme are derived. Finally, performance of the proposed method is investigated by numerical experiments. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
