We investigate the performance of the optimized Post-Zel ’ dovich approximation in three cold dark matter cosmologies .
We consider two flat models with \Omega _ { 0 } = 1 ( SCDM ) and with \Omega _ { 0 } = 0.3 ( \Lambda CDM ) and an open model with \Omega _ { 0 } = 0.3 ( OCDM ) .
We find that the optimization scheme proposed by Weiß , Gottlöber & Buchert ( 1996 ) , in which the performance of the Lagrangian perturbation theory was optimized only for the Einstein-de Sitter cosmology , shows the excellent performances not only for SCDM model but also for both OCDM and \Lambda CDM models .
This universality of the excellent performance of the optimized Post-Zel ’ dovich approximation is explained by the fact that a relation between the Post-Zel ’ dovich order ’ s growth factor E ( a ) and Zel ’ dovich order ’ s one D ( a ) , E ( a ) / D ^ { 2 } ( a ) , is insensitive to the background cosmologies .