Notes on Newton-Krylov based Incompressible Flow Projection Solver

Robert Nourgaliev ; Mark Christon ; J. Bakosi

关键词: Projection method;    Fluid dynamics;    thermalhydrauli;   

DOI  :  10.2172/1058093
RP-ID  :  INL/EXT-12-27197
PID  :  OSTI ID: 1058093

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

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.