Extending Chombo with PETSc

Award Information
Agency:
Department of Energy
Amount:
$99,527.00
Program:
SBIR
Contract:
DE-FG02-09ER85510
Solitcitation Year:
2010
Solicitation Number:
DE-FOA-0000350
Branch:
N/A
Award Year:
2009
Phase:
Phase I
Agency Tracking Number:
91413
Solicitation Topic Code:
50 b
Small Business Information
Tech-x Corporation
5621 Arapahoe Avenue, Suite A, Boulder, CO, 80303
Hubzone Owned:
N
Woman Owned:
N
Socially and Economically Disadvantaged:
N
Duns:
806486692
Principal Investigator
 Alexander Pletzer
 Dr.
 (303) 996-2031
 pletzer@txcorp.com
Business Contact
 Laurence Nelson
Title: Mr.
Phone: (720) 974-1856
Email: lnelson@txcorp.com
Research Institution
N/A
Abstract
Among the most challenging problems in computational physics are elliptic equations with vastly different spatial and temporal scales. The block structured Adaptive Mesh Refinement (AMR) technique is particularly amenable to such problems, as it combines the benefits of ¿classical¿ finite difference/finite volume discretization with the advantage of locally increased resolution. The Chombo software infrastructure has been developed to apply AMR to problems ranging from magnetohydrodynamics to combustion, and has proven to be 1-2 orders of magnitude more efficient than standard finite differences. However, Chombo¿s built-in linear solvers can encounter convergence difficulties, particularly in regimes where time steps are large and where heat conductivity, electric resistivity, and/or viscosity have strong spatial variation, as in fusion devices. This project will extend Chombo to allow users to invoke linear matrix solves implemented by the Portable, Extensible Toolkit for Scientific (PETSc) library. PETSc is the leading library for sparse matrix solves, offering a large choice of direct and iterative solver algorithms. Commercial Applications and other Benefits as described by the awardee The Chombo extension would enable users to apply the most appropriate algorithm for solving linear systems, which will in turn improve numerical efficiency and robustness. In particular, the extension would benefit the AMR-MHD application, which simulates pellet injection in fusion devices. Commercial computational fluid dynamics applications also could benefit from these extensions.

* information listed above is at the time of submission.

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