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

Technical Report · Sat Feb 01 04:00:00 EST 1997

DOI:https://doi.org/10.2172/446376· OSTI ID:446376

Shadid, J N; Tuminaro, R S ^[1]; Walker, H F ^[2]

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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 Labs., 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
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
FLUID FLOW
HEAT TRANSFER
MASS TRANSFER
NAVIER-STOKES EQUATIONS
NEWTON METHOD
NONLINEAR PROBLEMS
THEORETICAL DATA