Memorias de investigación
Ponencias en congresos:
Efficient low dimensional modelling based on POD and residual estimates
Año:2015
Áreas de investigación
  • Ingeniería aeronaútica
Datos
Descripción
An adaptive low dimensional model is considered to simulate time dependent dynamics in nonlinear dissipative systems governed by partial differential equations. The method combines ?on the fly? a standard numerical solver and a much more computationally inexpensive Galerkin system. The latter is constructed by projecting the governing equations onto adapting sets of POD modes, resulting from snapshots computed by the numerical solver. The strategy is based on a truncation error estimate and a residual estimate, designed to control the truncation error and the mode truncation instability, respectively. These estimates support the selection of the appropriate time intervals in which the numerical solver is run to first construct and then update, on demand, the POD modes. Furthermore, in order to reduce the computational effort needed at the outset to generate the initial POD subspace, some mode libraries are taken into account. Such libraries may either be generic (e.g., constructed from orthogonal polynomials) or result from different, former simulations.
Internacional
Si
Nombre congreso
Workshop on numerical techniques for computation speedup
Tipo de participación
960
Lugar del congreso
Biarritz, Francia
Revisores
Si
ISBN o ISSN
00000000
DOI
Fecha inicio congreso
02/02/2015
Fecha fin congreso
04/02/2015
Desde la página
1
Hasta la página
1
Título de las actas
Actas del workshop on numerical techniques for computation speedup
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial