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Title: Notes on Newton-Krylov based Incompressible Flow Projection Solver

Abstract

The purpose of the present document is to formulate Jacobian-free Newton-Krylov algorithm for approximate projection method used in Hydra-TH code. Hydra-TH is developed by Los Alamos National Laboratory (LANL) under the auspices of the Consortium for Advanced Simulation of Light-Water Reactors (CASL) for thermal-hydraulics applications ranging from grid-to-rod fretting (GTRF) to multiphase flow subcooled boiling. Currently, Hydra-TH is based on the semi-implicit projection method, which provides an excellent platform for simulation of transient single-phase thermalhydraulics problems. This algorithm however is not efficient when applied for very slow or steady-state problems, as well as for highly nonlinear multiphase problems relevant to nuclear reactor thermalhydraulics with boiling and condensation. These applications require fully-implicit tightly-coupling algorithms. The major technical contribution of the present report is the formulation of fully-implicit projection algorithm which will fulfill this purpose. This includes the definition of non-linear residuals used for GMRES-based linear iterations, as well as physics-based preconditioning techniques.

Authors:
; ;
Publication Date:
Research Org.:
Idaho National Laboratory (INL)
Sponsoring Org.:
DOE - NE
OSTI Identifier:
1058093
Report Number(s):
INL/EXT-12-27197
DOE Contract Number:  
DE-AC07-05ID14517
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Projection method, Fluid dynamics, thermalhydrauli

Citation Formats

Robert Nourgaliev, Mark Christon, and J. Bakosi. Notes on Newton-Krylov based Incompressible Flow Projection Solver. United States: N. p., 2012. Web. doi:10.2172/1058093.
Robert Nourgaliev, Mark Christon, & J. Bakosi. Notes on Newton-Krylov based Incompressible Flow Projection Solver. United States. doi:10.2172/1058093.
Robert Nourgaliev, Mark Christon, and J. Bakosi. Sat . "Notes on Newton-Krylov based Incompressible Flow Projection Solver". United States. doi:10.2172/1058093. https://www.osti.gov/servlets/purl/1058093.
@article{osti_1058093,
title = {Notes on Newton-Krylov based Incompressible Flow Projection Solver},
author = {Robert Nourgaliev and Mark Christon and J. Bakosi},
abstractNote = {The purpose of the present document is to formulate Jacobian-free Newton-Krylov algorithm for approximate projection method used in Hydra-TH code. Hydra-TH is developed by Los Alamos National Laboratory (LANL) under the auspices of the Consortium for Advanced Simulation of Light-Water Reactors (CASL) for thermal-hydraulics applications ranging from grid-to-rod fretting (GTRF) to multiphase flow subcooled boiling. Currently, Hydra-TH is based on the semi-implicit projection method, which provides an excellent platform for simulation of transient single-phase thermalhydraulics problems. This algorithm however is not efficient when applied for very slow or steady-state problems, as well as for highly nonlinear multiphase problems relevant to nuclear reactor thermalhydraulics with boiling and condensation. These applications require fully-implicit tightly-coupling algorithms. The major technical contribution of the present report is the formulation of fully-implicit projection algorithm which will fulfill this purpose. This includes the definition of non-linear residuals used for GMRES-based linear iterations, as well as physics-based preconditioning techniques.},
doi = {10.2172/1058093},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {9}
}

Technical Report:

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