If you have time to read just one paper, you should read the
Simulating Cosmic Structure Formation, by D. Weinberg, N. Katz, & L. Hernquist (1997)
available as astro-ph/9708213 or as a postscript file here. This paper touches at least briefly on most of the topics that I will cover in the winter school lectures.
Two papers that discuss the smoothed-particle hydrodynamics (SPH) method
and its application to galaxy formation in greater detail are the
Simulating Galaxy Formation, by M. Steinmetz (1996), available as astro-ph/9512013.
and the journal article
Cosmological Simulations with TreeSPH, by N. Katz, D. Weinberg, & L. Hernquist (1996), ApJ Supp, 105, 19. You can get a preprint version of this paper electronically as astro-ph/9509107.
Both papers summarize the cosmological formulation of SPH, including heating and cooling processes and photoionization. The Steinmetz article also includes a concise discussion of N-body (purely gravitational) simulation methods. Steinmetz presents illustrative applications to high resolution simulations of the formation of individual galaxies, and Katz et al. present illustrative applications to the formation and clustering of galaxies in a larger cosmological volume. I recommend starting with the Steinmetz article, then reading Katz et al. if you want a more detailed discussion of the techniques and/or an illustration of the application of SPH to the problem of galaxy clustering.
There are a number of different grid-based cosmological hydrodynamics
code in existence, described in a number of papers by various authors.
A representative example is
A Cosmological Hydrodynamic Code Based on the Total Variation Diminishing Scheme, by D. Ryu, J. Ostriker, H. Kang, & R. Cen (1993), ApJ, 414, 1, available electronically via ADS.
In the last few years, cosmological simulations have transformed the
theoretical study of the Lyman-alpha forest. The field is changing
rapidly, so there is no single, up-to-date review article that I can
recommend. The voluminous and comprehensive paper
The Lyman-alpha Forest From Gravitational Collapse in the Cold Dark Matter + Lambda Model, by J. Miralda-Escude, R. Cen, J. Ostriker, & M. Rauch (1996), ApJ, 471, 582, available electronically via ADS or the electronic ApJ
gives an excellent discussion of the numerical approach and of the physics of the Lyman-alpha forest. There are also very good physical discussions based on semi-analytic models in
Evolution of Structure in the Intergalactic Medium and the Nature of the Lyman-alpha Forest, by H. Bi & A. Davidsen (1997), ApJ, 479, 523
The Statistics of Density Peaks and the Column Density Distribution of the Lyman-alpha Forest, by L. Hui, N. Gnedin, & Y. Zhang (1997), ApJ, 486, 599.
Updated: 1997 November 18