%0 Conference Paper %1 andersson2014novel %A Andersson, N. %A Eriksson, L.-E. %B 11th World Congress on Computational Mechanics (WCCM XI)5th European Conference on Computational Mechanics (ECCM V)6th European Conference on Computational Fluid Dynamics (ECFD VI) %D 2014 %E Oñate, Eugenio %E Oliver, J. %E Huerta, A. %K 65b99-acceleration-of-convergence-in-numerical-analysis 76d05-incompressible-navier-stokes-equations 76m99-basic-methods-in-fluid-mechanics %T A novel solver acceleration technique based on dynamic mode decomposition %X The speed-up of finite-volume solvers for compressible flows is a difficult task. There are several ways to achieve solver speed-up, more or less difficult to imple- ment and more or less suitable for implementation in a parallel, unstructured type of solver. Examples of such techniques are the multi-grid method and Implicit Residual Smoothening (IRSM). In this article, a solver acceleration technique based on Dynamic Mode Decomposition (DMD) is proposed. The technique does not depend on data format or mesh structure and is thus as straightforward to implement in an unstructured parallel code as in a structured sequential one. The main idea behind the proposed method is that it is possible to use the information available in flow field modes extracted using the DMD technique to find a correction that will bring the solution closer to a steady-state condition, i.e. the method is only applicable to steady-state problems. In the presented work the proposed DMD-based acceleration technique has been implemented in a mas- sively parallel block-structured finite-volume Navier-Stokes solver for compressible flows. The method has been tested on a turbine cascade case with promising results. To the knowledge of the authors, the proposed method is not previously published in the open literature.

@inproceedings{andersson2014novel, abstract = {The speed-up of finite-volume solvers for compressible flows is a difficult task. There are several ways to achieve solver speed-up, more or less difficult to imple- ment and more or less suitable for implementation in a parallel, unstructured type of solver. Examples of such techniques are the multi-grid method and Implicit Residual Smoothening (IRSM). In this article, a solver acceleration technique based on Dynamic Mode Decomposition (DMD) is proposed. The technique does not depend on data format or mesh structure and is thus as straightforward to implement in an unstructured parallel code as in a structured sequential one. The main idea behind the proposed method is that it is possible to use the information available in flow field modes extracted using the DMD technique to find a correction that will bring the solution closer to a steady-state condition, i.e. the method is only applicable to steady-state problems. In the presented work the proposed DMD-based acceleration technique has been implemented in a mas- sively parallel block-structured finite-volume Navier-Stokes solver for compressible flows. The method has been tested on a turbine cascade case with promising results. To the knowledge of the authors, the proposed method is not previously published in the open literature.}, added-at = {2021-05-19T03:50:26.000+0200}, author = {Andersson, N. and Eriksson, L.-E.}, biburl = {https://www.bibsonomy.org/bibtex/24bb0903ba3461d296d0dafdb99f5e068/gdmcbain}, booktitle = {11th World Congress on Computational Mechanics (WCCM XI)5th European Conference on Computational Mechanics (ECCM V)6th European Conference on Computational Fluid Dynamics (ECFD VI)}, editor = {Oñate, Eugenio and Oliver, J. and Huerta, A.}, interhash = {2fe19408245e81f21ecdfc9b90b018b6}, intrahash = {4bb0903ba3461d296d0dafdb99f5e068}, keywords = {65b99-acceleration-of-convergence-in-numerical-analysis 76d05-incompressible-navier-stokes-equations 76m99-basic-methods-in-fluid-mechanics}, timestamp = {2021-05-19T03:55:27.000+0200}, title = {A novel solver acceleration technique based on dynamic mode decomposition}, year = 2014 }