CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Wiki > Implicit second order method

Implicit second order method

From CFD-Wiki

Revision as of 00:55, 1 November 2005 by Zxaar (Talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Implicit Second Order Method

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:

Algorithm

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)

Where M is maximum number of internal iterations.



Return to Numerical Methods

My wiki