V. Quilis et al., NONLINEAR EVOLUTION OF ONE-DIMENSIONAL COSMOLOGICAL INHOMOGENEITIES, Revista Mexicana de Astronomia y Astrofisica, 25(2), 1993, pp. 117-127
In this paper, we study the nonlinear evolution of one dimensional pre
ssureless cosmological inhomogeneities. A high-resolution shock-captur
ing algorithm has been used in order to solve the partial differential
equations governing this evolution numerically. Linear initial condit
ions have been considered. The analysis covers the epoch up to caustic
formation. Our hydro-code has been tested in order to reproduce the Z
el'dovich solution. Improvements and further extensions of this work a
re discussed.