Open issues in core-collapse supernovae - progenitors and 3-dimensional simulations

Modeling core-collapse supernovae is truly a complex computational and physical problem, requiring a detailed knowledge of a wide variety of physics and the latest techniques in both transport algorithms and hydrodynamics. Just understanding the hydrodynamic flows in core-collapse requires a much more comprehensive set of tests than is usually applied to hydrodynamic codes. In this article, we discuss a number of computational tests (with both analytic and experimental solutions) that should be added to any suite of code tests checking the viability of a code to model core-collapse supernovae. We demonstrate the weaknesses and strengths of various codes on these tests.