Publications

Huang, Andy H.; Gao, Xujiao G.; Pawlowski, Roger P.; Gates, Jason M.; Musson, Lawrence M.; Hennigan, Gary L.; Negoita, Mihai N.

Abstract not provided.

Huang, Andy H.; Gao, Xujiao G.; Pawlowski, Roger P.; Gates, Jason M.; Musson, Lawrence M.; Hennigan, Gary L.; Negoita, Mihai N.

Abstract not provided.

Huang, Andy H.; Gao, Xujiao G.; Pawlowski, Roger P.; Gates, Jason M.; Musson, Lawrence M.; Hennigan, Gary L.; Negoita, Mihai N.

Abstract not provided.

Musson, Lawrence M.; Hennigan, Gary L.; Gao, Xujiao G.; Mamaluy, Denis M.

Abstract not provided.

Gao, Xujiao G.; Huang, Andy H.; Peterson, Kara J.; Hennigan, Gary L.; Musson, Lawrence M.; Bochev, Pavel B.

Abstract not provided.

Gao, Xujiao G.; Bochev, Pavel B.; Peterson, Kara J.; Pawlowski, Roger P.; Hennigan, Gary L.; Musson, Lawrence M.

Abstract not provided.

Journal of Computational Physics

Lin, Paul T.; Shadid, John N.; Sala, Marzio; Tuminaro, Raymond S.; Hennigan, Gary L.; Hoekstra, Robert J.

In this study results are presented for the large-scale parallel performance of an algebraic multilevel preconditioner for solution of the drift-diffusion model for semiconductor devices. The preconditioner is the key numerical procedure determining the robustness, efficiency and scalability of the fully-coupled Newton-Krylov based, nonlinear solution method that is employed for this system of equations. The coupled system is comprised of a source term dominated Poisson equation for the electric potential, and two convection-diffusion-reaction type equations for the electron and hole concentration. The governing PDEs are discretized in space by a stabilized finite element method. Solution of the discrete system is obtained through a fully-implicit time integrator, a fully-coupled Newton-based nonlinear solver, and a restarted GMRES Krylov linear system solver. The algebraic multilevel preconditioner is based on an aggressive coarsening graph partitioning of the nonzero block structure of the Jacobian matrix. Representative performance results are presented for various choices of multigrid V-cycles and W-cycles and parameter variations for smoothers based on incomplete factorizations. Parallel scalability results are presented for solution of up to 108 unknowns on 4096 processors of a Cray XT3/4 and an IBM POWER eServer system. © 2009 Elsevier Inc. All rights reserved.

Hoekstra, Robert J.; Hennigan, Gary L.; Pawlowski, Roger P.; Phipps, Eric T.; Shadid, John N.; Musson, Lawrence M.; Keiter, Eric R.

Abstract not provided.

Hennigan, Gary L.; Castro, Joseph P.; Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.; Hoekstra, Robert J.; Hennigan, Gary L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.; Hoekstra, Robert J.; Hennigan, Gary L.

Abstract not provided.

Tuminaro, Raymond S.; Shadid, John N.; Hoekstra, Robert J.; Hennigan, Gary L.

Abstract not provided.

Proposed for publication in Computer Methods in Applied Mechanics and Engineering.

Shadid, John N.; Salinger, Andrew G.; Pawlowski, Roger P.; Lin, Paul L.; Hennigan, Gary L.; Tuminaro, Raymond S.; Lehoucq, Richard B.

The solution of the governing steady transport equations for momentum, heat and mass transfer in fluids undergoing non-equilibrium chemical reactions can be extremely challenging. The difficulties arise from both the complexity of the nonlinear solution behavior as well as the nonlinear, coupled, non-symmetric nature of the system of algebraic equations that results from spatial discretization of the PDEs. In this paper, we briefly review progress on developing a stabilized finite element (FE) capability for numerical solution of these challenging problems. The discussion considers the stabilized FE formulation for the low Mach number Navier-Stokes equations with heat and mass transport with non-equilibrium chemical reactions, and the solution methods necessary for detailed analysis of these complex systems. The solution algorithms include robust nonlinear and linear solution schemes, parameter continuation methods, and linear stability analysis techniques. Our discussion considers computational efficiency, scalability, and some implementation issues of the solution methods. Computational results are presented for a CFD benchmark problem as well as for a number of large-scale, 2D and 3D, engineering transport/reaction applications.

Proposed for publication in Computation Methods in Applied Mechanics and Engineering.

Shadid, John N.; Salinger, Andrew G.; Pawlowski, Roger P.; Lin, Paul L.; Hennigan, Gary L.; Tuminaro, Raymond S.; Lehoucq, Richard B.

The solution of the governing steady transport equations for momentum, heat and mass transfer in fluids undergoing non-equilibrium chemical reactions can be extremely challenging. The difficulties arise from both the complexity of the nonlinear solution behavior as well as the nonlinear, coupled, non-symmetric nature of the system of algebraic equations that results from spatial discretization of the PDEs. In this paper, we briefly review progress on developing a stabilized finite element ( FE) capability for numerical solution of these challenging problems. The discussion considers the stabilized FE formulation for the low Mach number Navier-Stokes equations with heat and mass transport with non-equilibrium chemical reactions, and the solution methods necessary for detailed analysis of these complex systems. The solution algorithms include robust nonlinear and linear solution schemes, parameter continuation methods, and linear stability analysis techniques. Our discussion considers computational efficiency, scalability, and some implementation issues of the solution methods. Computational results are presented for a CFD benchmark problem as well as for a number of large-scale, 2D and 3D, engineering transport/reaction applications.

Proposed for publication in Journal of Computational Physics.

Shadid, John N.; Tuminaro, Raymond S.; Devine, Karen D.; Hennigan, Gary L.; Lin, Paul L.

Abstract not provided.