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Newton-Krylov methods applied to a system of convection-diffusion-reaction equations

Autor: P.R. McHugh, D.A. Knoll

Publikováno v: Computer Physics Communications. 88:141-160

We study the application of Newton-Krylov methods for the steady-state solution of the tokamak edge plasma fluid equations. This highly nonlinear system of two-dimensional convection-diffusion-reaction partial differential equations describes the bou

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54b6ae30cb15732712528856150dcbbf
https://doi.org/10.1016/0010-4655(95)00062-k

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An Inexact Newton Algorithm for Solving the Tokamak Edge Plasma Fluid Equations on a Multiply-Connected Domain

Autor: P.R. McHugh, D.A. Knoll

Publikováno v: Journal of Computational Physics. 116:281-291

Newton's method is combined with a preconditioned conjugate gradient-like algorithm and finite volume discretization to solve the steady-state two-dimensional tokamak edge plasma fluid equations. A numerical evaluation of the Jacobian is employed. Me

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1d1780a3e51647d57cbf7fe7ae6f7e7d
https://doi.org/10.1006/jcph.1995.1027

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NEWEDGE: a 2D fully implicit edge plasma fluid code for advanced physics and complex geometries

Autor: P.R. McHugh, D.A. Knoll

Publikováno v: Journal of Nuclear Materials. :352-356

The solution algorithm of the 2D fully implicit edge plasma fluid code NEWEDGE has been significantly advanced. An efficient numerical Jacobian evaluation has been implemented, and an advanced iterative matrix algorithm has replaced the previously us

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::92d05f36f9b9e32015edf05d1ce1b18f
https://doi.org/10.1016/s0022-3115(06)80059-0

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An investigation of Newton-Krylov algorithms for solving incompressible and low Mach number compressible fluid flow and heat transfer problems using finite volume discretization

Autor: V.A. Mousseau, D.A. Knoll, P.R. McHugh, G.A. Hansen

Fully coupled, Newton-Krylov algorithms are investigated for solving strongly coupled, nonlinear systems of partial differential equations arising in the field of computational fluid dynamics. Primitive variable forms of the steady incompressible and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b0d026168d38dfb8a03d043b7e82e84f
https://doi.org/10.2172/130602

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A computational model for viscous fluid flow, heat transfer, and melting in in situ vitrification melt pools

Autor: John D. Ramshaw, P.R. McHugh

MAGMA is a FORTRAN computer code designed to viscous flow in in situ vitrification melt pools. It models three-dimensional, incompressible, viscous flow and heat transfer. The momentum equation is coupled to the temperature field through the buoyancy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4c2fdd5010820253e112f655ba935fe3
https://doi.org/10.2172/10140275

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Thermal-hydraulic processes involved in loss of residual heat removal during reduced inventory operation

Autor: S.A. Naff, C.D. Fletcher, G.W. Johnsen, P.R. McHugh

This paper identifies the topics needed to understand pressurized water reactor response to an extended loss of residual heat removal event during refueling and maintenance outages. By identifying the possible plant conditions and cooling methods tha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7af0167e2315de21a3699be1a375e93
https://doi.org/10.2172/6367739

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