An effective method for modeling 1D two-phase two-fluid six-equation model with automatic differentiation approach
The modeling of the two-fluid model with plenty of realistic closure correlations has been a
tough problem because of the difficulty of forming the Jacobian matrix manually. To predict …
tough problem because of the difficulty of forming the Jacobian matrix manually. To predict …
Implicitly solving phase appearance and disappearance problems using two-fluid six-equation model
Phase appearance and disappearance issue presents serious numerical challenges in two-
phase flow simulations using the two-fluid six-equation model. Numerical challenges arise …
phase flow simulations using the two-fluid six-equation model. Numerical challenges arise …
Accuracy and efficient solution of helical coiled once-through steam generator model using JFNK method
Y Wu, B Liu, H Zhang, K Zhu, B Kong, J Guo… - Annals of Nuclear Energy, 2021 - Elsevier
Abstract The Helical coiled tube Once-Through Steam Generator (H-OTSG) is key
equipment in the High-Temperature Gas-cooled Reactor (HTGR) system, where the fission …
equipment in the High-Temperature Gas-cooled Reactor (HTGR) system, where the fission …
Physics‐based preconditioning of Jacobian‐free Newton–Krylov solver for Navier–Stokes equations using nodal integral method
The nodal integral methods (NIMs) have found widespread use in the nuclear industry for
neutron transport problems due to their high accuracy. However, despite considerable …
neutron transport problems due to their high accuracy. However, despite considerable …
Automatic differentiation approach for solving one-dimensional flow and heat transfer problems
Traditional reactor system analysis tools are confronted with challenging difficulties in model
development, low accuracy, and poor convergence. To solve these problems, the automatic …
development, low accuracy, and poor convergence. To solve these problems, the automatic …
Application of Jacobian-free Newton–Krylov method in implicitly solving two-fluid six-equation two-phase flow problems: Implementation, validation and benchmark
This work represents a first-of-its-kind successful application to employ advanced numerical
methods in solving realistic two-phase flow problems with two-fluid six-equation two-phase …
methods in solving realistic two-phase flow problems with two-fluid six-equation two-phase …
Subchannel analysis of annular fuel assembly using the preconditioned Jacobian-free Newton Krylov methods
H Esmaili, H Kazeminejad, H Khalafi… - Annals of Nuclear …, 2020 - Elsevier
In this paper, a numerical procedure for thermal–hydraulic subchannel analysis of the
annular fuel assembly in a PWR using the drift-flux model (DFM) is presented. The system of …
annular fuel assembly in a PWR using the drift-flux model (DFM) is presented. The system of …
A fully‐implicit numerical algorithm of two‐fluid two‐phase flow model using Jacobian‐free Newton–Krylov method
J Fan, J Gou, J Huang, J Shan - International Journal for …, 2023 - Wiley Online Library
Abstract Jacobian‐Free Newton–Krylov (JFNK) method is a stable and high‐efficiency
method to solve the multi‐physics coupling problem for the modeling and simulation (M&S) …
method to solve the multi‐physics coupling problem for the modeling and simulation (M&S) …
Fast stencil computations using fast Fourier transforms
Stencil computations are widely used to simulate the change of state of physical systems
across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in …
across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in …
Applications of high-resolution spatial discretization scheme and Jacobian-free Newton–Krylov method in two-phase flow problems
The majority of the existing reactor system analysis codes were developed using low-order
numerical schemes in both space and time. In many nuclear thermal–hydraulics …
numerical schemes in both space and time. In many nuclear thermal–hydraulics …