Inexact Newton-type methods for non-linear problems arising from the SUPG/PSPG solution of steady incompressible navier-stokes equations



Título del documento: Inexact Newton-type methods for non-linear problems arising from the SUPG/PSPG solution of steady incompressible navier-stokes equations
Revista: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Base de datos: PERIÓDICA
Número de sistema: 000312225
ISSN: 1678-5878
Autores: 1

Instituciones: 1Universidade Federal do Rio de Janeiro, Departamento de Engenharia Civil, Rio de Janeiro. Brasil
Año:
Periodo: Jul-Sep
Volumen: 26
Número: 3
Paginación: 330-339
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés The finite element discretization of the incompressible steady-state Navier-Stokes equations yields a non-linear problem, due to the convective terms in the momentum equations. Several methods may be used to solve this non-linear problem. In this work we study Inexact Newton-type methods, associated with the SUPG/PSPG stabilized finite element formulation. The resulting systems of equations are solved iteratively by a preconditioned Krylov-space method such as GMRES. Numerical experiments are shown to validate our approach. Performance of the nonlinear strategies is accessed by numerical tests. We concluded that Inexact Newton-type methods are more efficient than conventional Newton-type methods
Disciplinas: Matemáticas,
Física y astronomía
Palabras clave: Matemáticas aplicadas,
Dinámica de fluidos,
Método de Newton-Krylov,
Ecuaciones de Navier-Stokes,
Flujo de fluidos,
Fluido incompresible,
Problemas no lineales
Keyword: Mathematics,
Physics and astronomy,
Applied mathematics,
Fluid dynamics,
Newton-Krylov method,
Navier-Stokes equations,
Fluid flow,
Incompressible fluid,
Nonlinear problems
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