An adaptive grid technique that is well known from nonrelativistic implicit hydrodynamics is transfered to general relativistic one-dimensional problems. The interplay between the coordinate choice and the adaptive grid is discussed in principle and with focus on numerical implications, especially on the accuracy of conservation laws. The adaptive grid is not only useful for achieving superior resolution, it can also avoid the occurrence of singularities. This is tested within the comoving orthogonal frame which is best suited for the description of microscopic physics.
19th Texas Symposium on Relativistic Astrophysics and Cosmology
- Pub Date:
- December 1998