dc.creator | Cosimo, Alejandro | |
dc.creator | Cardona, Alberto | |
dc.creator | Idelsohn, Sergio Rodolfo | |
dc.date.accessioned | 2019-06-21T01:01:43Z | |
dc.date.accessioned | 2022-10-15T12:45:57Z | |
dc.date.available | 2019-06-21T01:01:43Z | |
dc.date.available | 2022-10-15T12:45:57Z | |
dc.date.created | 2019-06-21T01:01:43Z | |
dc.date.issued | 2014-06 | |
dc.identifier | Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo; Improving the k-Compressibility of Hyper Reduced Order Models with Moving Sources: Applications to Welding and Phase Change Problems; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 274; 6-2014; 237-263 | |
dc.identifier | 0045-7825 | |
dc.identifier | http://hdl.handle.net/11336/78605 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4387647 | |
dc.description.abstract | The simulation of engineering problems is quite often a complex task that can be time consuming. In this context, the use of Hyper Reduced Order Models (HROMs) is a promising alternative for real-time simulations. In this work, we study the design of HROMs for non-linear problems with a moving source. Applications to nonlinear phase change problems with temperature dependent thermophysical properties are particularly considered; however, the techniques developed can be applied in other fields as well.A basic assumption in the design of HROMs is that the quantities that will be hyper-reduced are k compressible in a certain basis in the sense that these quantities have at most k non-zero significant entries when expressed in terms of that basis. To reach the computational speed required for a real-time application, k must be small. This work examines different strategies for addressing hyper-reduction of the nonlinear terms with the objective of obtaining k compressible signals with a notably small k. To improve performance and robustness, it is proposed that the different contributing terms to the residual are separately hyper-reduced. Additionally, the use of moving reference frames is proposed to simulate and hyper-reduce cases that contain moving heat sources. Two application examples are presented: the solidification of a cube in which no heat source is present and the welding of a tube in which the problem posed by a moving heat source is analysed. | |
dc.language | eng | |
dc.publisher | Elsevier Science Sa | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2014.02.011 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | HYPER REDUCTION | |
dc.subject | MOVING SOURCES | |
dc.subject | PHASE CHANGE | |
dc.subject | PROPER ORTHOGONAL DECOMPOSITION | |
dc.subject | REDUCED ORDER MODELS | |
dc.subject | WELDING | |
dc.title | Improving the k-Compressibility of Hyper Reduced Order Models with Moving Sources: Applications to Welding and Phase Change Problems | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |