
Journal of Computational Physics 228(18):6833 (2009)
We consider a PDE system comprising compressible hydrodynamics, fluxlimited diffusion radiation transport and chemical ionization kinetics in a cosmologicallyexpanding universe. Under an operatorsplit framework, the cosmological hydrodynamics equations are solved through the piecewise pa... 
Journal of Computational Physics 228(20):7614 (2009)
Stable, accurate, divergencefree simulation of magnetized supersonic turbulence is a severe test of numerical MHD schemes and has been surprisingly difficult to achieve due to the range of flow conditions present. Here we present a new, higher orderaccurate, low dissipation numerical meth... 
Science 295(5552):93 (2002) PMID 11711636
We describe results from a fully selfconsistent threedimensional hydrodynamical simulation of the formation of one of the first stars in the Universe. In current models of structure formation, dark matter initially dominates, and pregalactic objects form because of gravitational instability fr... 
Science 295(5552):93 (2002) PMID 11711636
We describe results from a fully selfconsistent threedimensional hydrodynamical simulation of the formation of one of the first stars in the Universe. In current models of structure formation, dark matter initially dominates, and pregalactic objects form because of gravitational instability fr... 
We have reviewed the chemistry and cooling behavior of lowdensity (n ≲ 10 4 cm −3) primordial gas and devised a model which involves 19 collisional and 9 radiative processes and is applicable for temperatures in the range 1 K < T < 10 8K. In a companion paper (Anni...

We have developed a method of solving for multispecies chemical reaction flows in nonequilibrium and selfconsistently with the hydrodynamic equations in an expanding FLRW universe. The method is based on a backward differencing scheme for the required stability when solving stiff sets of ...

Computer Physics Communications 89(1):149 (1995)
We describe a hybrid scheme for cosmological simulations that incorporates a Lagrangean particlemesh (PM) algorithm to follow the collisionless matter with the higher order accurate piecewise parabolic method (PPM) to solve the equations of gas dynamics. Both components interact through th... 
Computer Physics Communications 36(2):121 (1985)
We identify the three essential parts for a successful and robust adaptive grid distribution equation for systems of nonlinear partial differential equations: (1) the spatial function, which is composed of operators that control the shape and size of zones, and guarantees the stabili... 
Physica D: Nonlinear Phenomena 12(1):83 (1984)
Supersonic gaseous jets exhibit coherent nonlinear dynamic structures. We use a supercomputer to obtain solutions to the equations of twodimensional inviscid hydrodynamics, representing both axisymmetric and planar jets boring their way through a uniform medium. We use color images to disp... 
Physica D: Nonlinear Phenomena 12(1):408 (1984)
We present an implicit, adaptivegrid, finitedifference technique specifically designed to locate and track arbitrary fronts, interfaces and structures in a radiation hydro flow. The adaptive mesh is constructed in such a way that the “average” change of the flowvariables per grid zone is... 
Journal of Quantitative Spectroscopy and Radiat... 31(6):473 (1984)
We formulate the radiation transport equation in a completely adaptive coordinate system, which we define as a system in which the mesh in spacetime, angles and frequency adapts automatically to the dynamical evolution of the radiation field and fluid flow. 
Journal of Quantitative Spectroscopy and Radiat... 31(6):479 (1984)
We derive the radiation and fluid equations for relativistic flows in conservative from in a completely adaptive coordinate system.