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Title: An inexact Newton method for fully-coupled solution of the Navier-Stokes equations with heat and mass transport

Technical Report ·
DOI:https://doi.org/10.2172/446376· OSTI ID:446376
;  [1];  [2]
  1. Sandia National Labs., Albuquerque, NM (United States)
  2. Utah State Univ., Logan, UT (United States). Dept. of Mathematics and Statistics

The solution of the governing steady transport equations for momentum, heat and mass transfer in flowing fluids can be very difficult. These difficulties arise from the nonlinear, coupled, nonsymmetric nature of the system of algebraic equations that results from spatial discretization of the PDEs. In this manuscript the authors focus on evaluating a proposed nonlinear solution method based on an inexact Newton method with backtracking. In this context they use a particular spatial discretization based on a pressure stabilized Petrov-Galerkin finite element formulation of the low Mach number Navier-Stokes equations with heat and mass transport. The discussion considers computational efficiency, robustness and some implementation issues related to the proposed nonlinear solution scheme. Computational results are presented for several challenging CFD benchmark problems as well as two large scale 3D flow simulations.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Energy Research, Washington, DC (United States)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
446376
Report Number(s):
SAND-97-0132; ON: DE97004319; TRN: AHC29706%%82
Resource Relation:
Other Information: PBD: Feb 1997
Country of Publication:
United States
Language:
English