Grant: $400,000 - National Science Foundation - Sep. 8, 2009
No votes have been cast for this award yet
Award Description: The goal of this proposal is to develop efficient high-order numerical algorithms and methodology for simulating stiff systems of differential equations on large scale parallel computer architectures. A large number of natural problems in nonlinear physics involve a wide range of spatial and time scales of interest. A system that encompasses such a wide magnitude of scales is described as 'stiff'. A stiff system can arise in many different fields of physics, including fluid dynamics/aerodynamics, laboratory/space plasma physics, low Mach number flows, reactive flows, radiation hydrodynamics, and geophysical flows. One of the big challenges in solving such a stiff system using current-day computational resources lies in resolving time and length scales varying by several orders of magnitude. In order to overcome various stiff scales in computational simulations, we propose to develop a fully implicit solver based on a Jacobian-free Newton-Krylov (JFNK) approach with an appropriate preconditioner for FLASH, a multiphysics code framework used widely in the astrophysics community. FLASH provides a block-structured adaptive mesh refinement (AMR) parallel simulation grid and explicit solvers based on Eulerian hydrodynamics as well as N-body astrophysics. It was originally developed for simulations of Type Ia supernovae and related phenomena. Although FLASH has been successfully applied to a range of problems allowing different length scales using its AMR technology, its explicit scheme is of limited use for problems that are stiff in time. this weakness occurs because explicit compressible solvers are extremely inefficient for resolving disparate time scales in the stiff system. the main goal in this proposal is to develop a time accurate JFNK-based implicit solver and combine it with the current second order accurate unsplit explicit MHD solver in FLASH. we will use the combined hybrid (explit/implicit) solver to perform cutting-edge simulations addressing the heating of the solar corona problem whose nonlinear physics is dominated by a stiff system of equations.
Project Description: SEE AWARD DESCRIPTION.
Jobs Summary: No jobs were created for the period ending September 30, 2009. (Total jobs reported: 0)
Project Status: Not Started
This award's data was last updated on Sep. 8, 2009. Help expand these official descriptions using the wiki below.