Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems

We have developed fast numerical algorithms [1] for flows with complex moving domains, e.g. propellers in free-space and impellers in waterjets, by combining the smoothed profile method (SPM, [2, 3, 4]) with the spectral element method [5]. The new approach exhibits high-order accuracy with respect...

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Main Authors: Luo, Xian, Chryssostomidis, Chryssostomos, Karniadakis, George E.
Other Authors: Massachusetts Institute of Technology. Sea Grant College Program
Format: Article
Language:en_US
Published: Society for Modeling & Simulation International 2013
Online Access:http://hdl.handle.net/1721.1/78340
https://orcid.org/0000-0002-2055-9245
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author Luo, Xian
Chryssostomidis, Chryssostomos
Karniadakis, George E.
author2 Massachusetts Institute of Technology. Sea Grant College Program
author_facet Massachusetts Institute of Technology. Sea Grant College Program
Luo, Xian
Chryssostomidis, Chryssostomos
Karniadakis, George E.
author_sort Luo, Xian
collection MIT
description We have developed fast numerical algorithms [1] for flows with complex moving domains, e.g. propellers in free-space and impellers in waterjets, by combining the smoothed profile method (SPM, [2, 3, 4]) with the spectral element method [5]. The new approach exhibits high-order accuracy with respect to both temporal and spatial discretizations. Most importantly, the method yields great computational efficiency as it uses fixed simple Cartesian grids and hence it avoids body-conforming mesh and remeshing. To simulate high Reynolds number flows, we incorporate the Spalart-Allmaras turbulence model and solve the unsteady Reynolds-averaged Navier-Stokes (URANS) equations. We present verification of the method by studying the turbulent boundary layer over a flat plate. We show that both the eddy viscosity and velocity fields are resolved very accurately within the boundary layer. Having developed and validated our numerical approach, we apply it to study transitional and turbulent flows in an axial-flow waterjet propulsion system. The efficiency and robustness of our method enable parametric study of many cases which is required in design phase. We present performance analysis and show the agreement with experimental data for waterjets.
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spelling mit-1721.1/783402022-10-01T03:34:13Z Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems Luo, Xian Chryssostomidis, Chryssostomos Karniadakis, George E. Massachusetts Institute of Technology. Sea Grant College Program Luo, Xian Chryssostomidis, Chryssostomos Karniadakis, George E. We have developed fast numerical algorithms [1] for flows with complex moving domains, e.g. propellers in free-space and impellers in waterjets, by combining the smoothed profile method (SPM, [2, 3, 4]) with the spectral element method [5]. The new approach exhibits high-order accuracy with respect to both temporal and spatial discretizations. Most importantly, the method yields great computational efficiency as it uses fixed simple Cartesian grids and hence it avoids body-conforming mesh and remeshing. To simulate high Reynolds number flows, we incorporate the Spalart-Allmaras turbulence model and solve the unsteady Reynolds-averaged Navier-Stokes (URANS) equations. We present verification of the method by studying the turbulent boundary layer over a flat plate. We show that both the eddy viscosity and velocity fields are resolved very accurately within the boundary layer. Having developed and validated our numerical approach, we apply it to study transitional and turbulent flows in an axial-flow waterjet propulsion system. The efficiency and robustness of our method enable parametric study of many cases which is required in design phase. We present performance analysis and show the agreement with experimental data for waterjets. United States. Office of Naval Research (N00014-09-1-0160) Massachusetts Institute of Technology. Sea Grant College Program (Sea Basing:T-Craft Dynamic Analysis, NA06OAR4170019) 2013-04-10T20:43:18Z 2013-04-10T20:43:18Z 2010-07 Article http://purl.org/eprint/type/ConferencePaper http://hdl.handle.net/1721.1/78340 Luo, Xian, Chryssostomos Chryssostomidis, and George Em Karniadakis. "Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion Proceedings of the 2010 Conference on Grand Challenges in Modeling & Simulation, GCMS '10, Ottawa, ON, Canada, July 11-14, 2010. https://orcid.org/0000-0002-2055-9245 en_US http://dl.acm.org/citation.cfm?id=2020637 Proceedings of the 2010 Conference on Grand Challenges in Modeling & Simulation, GCMS '10 Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Society for Modeling & Simulation International MIT web domain
spellingShingle Luo, Xian
Chryssostomidis, Chryssostomos
Karniadakis, George E.
Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title_full Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title_fullStr Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title_full_unstemmed Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title_short Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems
title_sort spectral element smoothed profile method for turbulent flow simulations of waterjet propulsion systems
url http://hdl.handle.net/1721.1/78340
https://orcid.org/0000-0002-2055-9245
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AT karniadakisgeorgee spectralelementsmoothedprofilemethodforturbulentflowsimulationsofwaterjetpropulsionsystems