二点差分格式对瞬态温度场求解精度的影响

Influence of Two-point Difference Scheme on Precision of Solution in Transient Temperature Field

对二点差分格式的精度作理论分析和有限元计算 ,得出 C- N差分格式在所有二点差分格式中 ,解的精度最高 ,但其振荡性对解的精度的影响仍然存在 ,尤其是时间步长较长时影响更加明显 .

The theoretical analysis of the precision and the calculation of finite element of two point difference scheme were presented. It shows that the scheme of Crank Nicolson has highest precision of solutions. However,there is still an effect of the oscillation on the precision of solution especially with longer time step.