Stability of the Staggered Pressure Method

For stability check, similar procedure as that used in the displacement method can be applied. Rewriting equations 4.7 and 4.8 without the force terms, then:

[M]{U}i+1 + [C]{U}i+1 + [K]{U}i+1 - [Q]{p}i+1 = 0 (4.28)

[G]{p}i+1 + [C']{p}m + [K']{p}i+1 + p[Q]T {U }i+1 = 0 (4.29)

The characteristic equation of the coupled field for a modally decomposed system with scalar values, can be written by substituting equations 4.15 and 4.16 into equations 4.28 and 4.29:

0 0

Post a comment