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This NATO Advanced Research Workshop was devoted to the pre sentation, evaluation, and critical discussion of numerical methods in nonrelativistic and relativistic hydrodynamics, radia tive transfer, and radiation-coupled hydrodynamics. The unifying theme of the lectures was the successful application of these methods to challenging problems in astrophysics. The workshop was subdivided into 3 somewhat independent topics, each with their own subtheme. Under the heading radiation hydrodynamics were brought together context, theory, methodology, and application of radia tive transfer and radiation hydrodynamics in astrophysics. The intimate coupling between astronomy and radiation physics was underscored by examples from past and present research. Frame-dependence of both the equation of transfer (plus moments) and the underlying radiation quantities was discussed and clarified. Limiting regimes in radiation-coupled flow were identified and described; the dynamic diffusion regime received special emphasis. Numerical methods for continuum and line transfer equations in a given background were presented. Two examples of methods for computing dynamically coupled radia tion/matter fields were given. In l-d and assuming LTE the complete equations of radiation hydrodynamics can be solved with current computers. Such is not the case in 2- or 3-d, which were identified as target areas for research. The use of flux-limiters was vigorously discussed in this connection, and enlivened the meeting.
Table des matières
Radiation Hydrodynamics.- Problems in Astrophysical Radiation Hydrodynamics.- The Equations of Radiation Hydrodynamics.- WH80s: Numerical Radiation Hydrodynamics.- Numerical Solution of the Equation of Radiation Transfer.- Implicit 2D-Radiation Hydrodynamics.- Gas Dynamics.- 2-D Eulerian Hydrodynamics with Fluid Interfaces, Self-Gravity and Rotation.- Munacolor: Understanding High-Resolution Gas Dynamical Simulations Through Color Graphics.- PPM: Piecewise-Parabolic Methods for Astrophysical Fluid Dynamics.- Finite Element Methods for Time Dependent Problems.- Description and Philosophy of Spectral Methods.- Numerical Modeling of Subgrid-Scale Flow in Turbulence, Rotation, and Convection.- Particle Methods.- Relativistic Flows.- Why Ultrarelativistic Numerical Hydrodynamics is Difficult.- Neutrino Transport in Relativity.- Numerical Relativistic Gravitational Collapse with Spatial Time Slices.- The Characteristic Initial Value Problem in General Relativity.- Participants.
