Jacobian-free Newton Krylov Discontinuous Galerkin Method and Physics-based Preconditioning for Nuclear Reactor Simulations
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2008 |
ISBN-10 | : OCLC:727355899 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book Jacobian-free Newton Krylov Discontinuous Galerkin Method and Physics-based Preconditioning for Nuclear Reactor Simulations written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present high-order accurate spatiotemporal discretization of all-speed flow solvers using Jacobian-free Newton Krylov framework. One of the key developments in this work is the physics-based preconditioner for the all-speed flow, which makes use of traditional semi-implicit schemes. The physics-based preconditioner is developed in the primitive variable form, which allows a straightforward separation of physical phenomena. Numerical examples demonstrate that the developed preconditioner effectively reduces the number of the Krylov iterations, and the efficiency is independent of the Mach number and mesh sizes under a fixed CFL condition.