Modern high-resolution shock-capturing methods for structure evolution in cosmology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hydrodynamics, Methods: Numerical, Large-Scale Structure Of Universe

Scientific paper

Cosmological one-dimensional structures with pressure are considered. Their nonlinear evolution is studied. The partial differential equations for this evolution are numerically solved. The code is based on a modern high-resolution shock-capturing algorithm. The main goal of this paper is to prove that this algorithm can be applied in Cosmology. Baryon matter is considered as an ideal gas. In pressureless cases, our code is severely tested by comparing numerical results with Zel'dovich's solution. Pressure effects are discussed; in the case of a pure baryon fluid, the shell crossing phenomenon predicted by Zel'dovich's solution is either retarded or prevented by pressure. In the case of a mixing of baryons and collisionless particles, the total gravitational field plus pressure produce shocks. Possible extensions and improvements of the code are discussed.

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