Many important scientific and engineering applications require a detailed analysis of complex systems with coupled fluid flow, thermal energy transfer, mass transfer and nonequilibrium chemical reactions. Currently, computer simulations of these complex reacting flow problems are limited to idealized systems in one or two spatial dimensions when coupled with a detailed, fundamental chemistry model. The goal of our research is to develop, analyze and implement advanced MP numerical algorithms that will allow high resolution 3D simulations with an equal emphasis on fluid flow and chemical kinetics modeling. In our research, we focus on the development of new, fully coupled, implicit solution strategies that are based on robust MP iterative solution methods.

References in zbMATH (referenced in 24 articles )

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  1. Kumar, Ankan; Mazumder, Sandip: Coupled solution of the species conservation equations using unstructured finite-volume method (2010)
  2. Lin, Paul T.; Shadid, John N.; Tuminaro, Raymond S.; Sala, Marzio; Hennigan, Gary L.; Pawlowski, Roger P.: A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: drift-diffusion, flow/transport/reaction, resistive MHD (2010)
  3. Gobbert, Matthias K.: Long-time simulations on high resolution meshes to model calcium waves in a heart cell (2008)
  4. Bader, Brett W.; Schnabel, Robert B.: On the performance of tensor methods for solving ill-conditioned problems (2007)
  5. Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S.: Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport (2006)
  6. Pawlowski, R. P.; Salinger, A. G.; Shadid, J. N.; Mountziaris, T. J.: Bifurcation and stability analysis of laminar isothermal counterflowing jets (2006)
  7. Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B.: Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems (2006)
  8. Bader, Brett W.: Tensor-Krylov methods for solving large-scale systems of nonlinear equations (2005)
  9. Burroughs, E. A.; Coutsias, E. A.; Romero, L. A.: A reduced-order partial differential equation model for the flow in a thermosyphon (2005)
  10. Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.: An overview of the Trilinos project. (2005)
  11. Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T.: Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations (2005)
  12. Waisman, Haim; Fish, Jacob; Tuminaro, Raymond S.; Shadid, John N.: Acceleration of the generalized global basis (GGB) method for nonlinear problems (2005)
  13. Bader, Brett W.; Schnabel, Robert B.: Curvilinear linesearch for tensor methods (2003)
  14. Salinger, A. G.; Pawlowski, R. P.; Shadid, J. N.; van Bloemen Waanders, B.; Barlett, R.; Itle, G. C.; Biegler, L.: Optimization of large-scale reacting flows using MPSalsa and sequential quadratric programming (2003)
  15. Banks, H. T.; Beeler, S. C.; Kepler, G. M.; Tran, H. T.: Reduced order modeling and control of thin film growth in an HPCVD reactor (2002)
  16. Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N.: Computational bifurcation and stability studies of the 8:1 thermal cavity problem (2002)
  17. Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N.: On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations (2002)
  18. Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M.: On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz (2002)
  19. Day, David; Heroux, Michael A.: Solving complex-valued linear systems via equivalent real formulations (2001)
  20. Deng, G. B.; Piquet, J.; Vasseur, X.; Visonneau, M.: A new fully coupled method for computing turbulent flows (2001)

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