On the performance of SPAI and ADI-like preconditioners for core collapse supernova simulations in one spatial dimension

PDF Version Also Available for Download.

Description

The simulation of core collapse supernovae calls for the time accurate solution of the (Euler) equations for inviscid hydrodynamics coupled with the equations for neutrino transport. The time evolution is carried out by evolving the Euler equations explicitly and the neutrino transport equations implicitly. Neutrino transport is modeled by the multi-group Boltzmann transport (MGBT) and the multi-group flux limited diffusion (MGFLD) equations. An implicity time stepping scheme for the MGBT and MGFLD equations yields Jacobian systems that necessitate scaling and reconditioning. Two types of preconditioners, namely a sparse approximate inverse (SPAI) preconditioner and a preconditioner based on the alternatingdirection implicit ... continued below

Creation Information

Smolarski, Dennis C.; Balakrishnan, Ramesh; D'Azevedo, Eduardo F.; Fettig, John W.; Messer, Bronson; Mezzacappa, Anthony et al. July 7, 2006.

Context

This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this report can be viewed below.

Who

People and organizations associated with either the creation of this report or its content.

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this report. Follow the links below to find similar items on the Digital Library.

Description

The simulation of core collapse supernovae calls for the time accurate solution of the (Euler) equations for inviscid hydrodynamics coupled with the equations for neutrino transport. The time evolution is carried out by evolving the Euler equations explicitly and the neutrino transport equations implicitly. Neutrino transport is modeled by the multi-group Boltzmann transport (MGBT) and the multi-group flux limited diffusion (MGFLD) equations. An implicity time stepping scheme for the MGBT and MGFLD equations yields Jacobian systems that necessitate scaling and reconditioning. Two types of preconditioners, namely a sparse approximate inverse (SPAI) preconditioner and a preconditioner based on the alternatingdirection implicit iteration (ADI-like) have been fond to be effective for the MGFLD and MGBT formulations. This paper compares these two preconditioners. The ADI-like preconditioner performs well with both MGBT and MGFLD systems. For the MGBT system tested, the SPAI preconditioner did not give competitive results. However, since the MGBT system in our experiments had a high condition number before scaling and since we used a sequential platform, care must be taken in evaluating these results.

Language

Item Type

Identifier

Unique identifying numbers for this report in the Digital Library or other systems.

  • Report No.: DOE ER41204 final
  • Grant Number: FG02-01ER41204
  • DOI: 10.2172/949963 | External Link
  • Office of Scientific & Technical Information Report Number: 949963
  • Archival Resource Key: ark:/67531/metadc930761

Collections

This report is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

What responsibilities do I have when using this report?

When

Dates and time periods associated with this report.

Creation Date

  • July 7, 2006

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

Description Last Updated

  • Dec. 13, 2016, 12:16 p.m.

Usage Statistics

When was this report last used?

Yesterday: 0
Past 30 days: 0
Total Uses: 1

Interact With This Report

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Smolarski, Dennis C.; Balakrishnan, Ramesh; D'Azevedo, Eduardo F.; Fettig, John W.; Messer, Bronson; Mezzacappa, Anthony et al. On the performance of SPAI and ADI-like preconditioners for core collapse supernova simulations in one spatial dimension, report, July 7, 2006; United States. (digital.library.unt.edu/ark:/67531/metadc930761/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.