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.
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.
Series: NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES
Number Of Pages: 590
Published: 30th November 1986
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5
Weight (kg): 1.16