A general numerical procedure for the treatment of moving interfaces in implicit continuous Eulerian (ICE) hydrodynamics (Q1102814)

The implicit continuous Eulerian (ICE) finite difference method in hydrodynamic computations has proven very successful when applied to flow situations in which there are excessive fluid distortions. Code logic becomes exceedingly complex, however, if the boundaries of the fluid domain are material interfaces whose orientations with respect to the Eulerian grid evolradiative transfer equation may be approximated by a nonlinear diffusion equation. In order to find the right boundary condition for this last equation it is necessary to solve a nonlinear frequency dependent transport equation in a half space. This nonlinear halfspace problem is first studied. Afterwards a linearized halfspace problem is considered and the limit of the solution is calculated using Chandrasekhar's techniques.