A Finite-Volume based POD-Galerkin reduced ordermodel is developed for fluid dynamics problems where the(time-dependent)boundary conditions are controlled using two different boundary control strategies:the lifting fu...A Finite-Volume based POD-Galerkin reduced ordermodel is developed for fluid dynamics problems where the(time-dependent)boundary conditions are controlled using two different boundary control strategies:the lifting function method,whose aim is to obtain homogeneous basis functions for the reduced basis space and the penalty method where the boundary conditions are enforced in the reduced order model using a penalty factor.The penalty method is improved by using an iterative solver for the determination of the penalty factor rather than tuning the factor with a sensitivity analysis or numerical experimentation.The boundary control methods are compared and tested for two cases:the classical lid driven cavity benchmark problem and a Y-junction flow case with two inlet channels and one outlet channel.The results show that the boundaries of the reduced order model can be controlled with the boundary control methods and the same order of accuracy is achieved for the velocity and pressure fields.Finally,the reduced order models are 270-308 times faster than the full ordermodels for the lid driven cavity test case and 13-24 times for the Y-junction test case.展开更多
基金supported by the ENEN+project that has received funding from the Euratom research and training Work Programme 2016-2017-1#755576support provided by the European Research Council Executive Agency by the Consolidator Grant project AROMA-CFD“Advanced ReducedOrder Methodswith Applications in Computational Fluid Dynamics”-GA 681447,H2020-ERC CoG 2015 AROMA-CFD and INdAM-GNCS projects.
文摘A Finite-Volume based POD-Galerkin reduced ordermodel is developed for fluid dynamics problems where the(time-dependent)boundary conditions are controlled using two different boundary control strategies:the lifting function method,whose aim is to obtain homogeneous basis functions for the reduced basis space and the penalty method where the boundary conditions are enforced in the reduced order model using a penalty factor.The penalty method is improved by using an iterative solver for the determination of the penalty factor rather than tuning the factor with a sensitivity analysis or numerical experimentation.The boundary control methods are compared and tested for two cases:the classical lid driven cavity benchmark problem and a Y-junction flow case with two inlet channels and one outlet channel.The results show that the boundaries of the reduced order model can be controlled with the boundary control methods and the same order of accuracy is achieved for the velocity and pressure fields.Finally,the reduced order models are 270-308 times faster than the full ordermodels for the lid driven cavity test case and 13-24 times for the Y-junction test case.
