CFD Online URL
Home > Wiki > Implicit second order method

Implicit second order method

From CFD-Wiki

Jump to: navigation, search

The implicit second order method involves the derivatives of the next time level. Due to this reason they are iterative in nature. The second order time integration scheme is given by:


for r:= 1 step 1 until M do
\phi ^{n + 1}  = {4 \over 3}\phi ^n  - {1 \over 3}\phi ^{n - 1}  + {2 \over 3}\dot \phi \left( {t_{n + 1} ,\phi ^{n + 1} } \right) \bullet \Delta t
end (r-loop)

Here, M is maximum number of internal iterations.

Return to Numerical Methods

My wiki