A Newton-Krylov Solver for Implicit Solution of Hydrodynamics in Core Collapse Supernovae
This paper describes an implicit approach and nonlinear solver for solution of radiation-hydrodynamic problems in the context of supernovae and proto-neutron star cooling. The robust approach applies Newton-Krylov methods and overcomes the difficulties of discontinuous limiters in the discretized equations and scaling of the equations over wide ranges of physical behavior. We discuss these difficulties, our approach for overcoming them, and numerical results demonstrating accuracy and efficiency of the method.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 945528
- Report Number(s):
- LLNL-CONF-404711; TRN: US200903%%622
- Resource Relation:
- Journal Volume: 125; Conference: Presented at: SciDAC 2008, Seattle, WA, United States, Jul 13 - Jul 17, 2008
- Country of Publication:
- United States
- Language:
- English
Similar Records
Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG
An implicit energy-conservative 2D Fokker-Planck algorithm -- 2. Jacobian-free Newton-Krylov solver
On the Preconditioning of a Newton-Krylov Solver for a High-Order reconstructed Discontinuous Galerkin Discretization of All-Speed Compressible Flow with Phase Change for Application in Laser-Based Additive Manufacturing
Journal Article
·
Wed Feb 10 00:00:00 EST 2016
· Computer Methods in Applied Mechanics and Engineering
·
OSTI ID:945528
+3 more
An implicit energy-conservative 2D Fokker-Planck algorithm -- 2. Jacobian-free Newton-Krylov solver
Journal Article
·
Thu Jan 20 00:00:00 EST 2000
· Journal of Computational Physics
·
OSTI ID:945528
+1 more
On the Preconditioning of a Newton-Krylov Solver for a High-Order reconstructed Discontinuous Galerkin Discretization of All-Speed Compressible Flow with Phase Change for Application in Laser-Based Additive Manufacturing
Thesis/Dissertation
·
Wed May 17 00:00:00 EDT 2017
·
OSTI ID:945528