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Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers

Bruno, Oscar P. and Cubillos, Max and Jimenez, Edwin (2019) Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers. Journal of Computational Physics, 391 . pp. 322-346. ISSN 0021-9991. doi:10.1016/

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This paper presents a new class of solvers for the subsonic compressible Navier-Stokes equations in general two- and three-dimensional multi-domains. Building up on the recent single-domain ADI-based high-order Navier-Stokes solvers (Bruno and Cubillos, Journal of Computational Physics 307 (2016) 476-495) this article presents multi-domain implicit-explicit methods of high-order of temporal accuracy. The proposed methodology incorporates: 1) A novel linear-cost implicit solver based on use of high-order backward differentiation formulae (BDF) and an alternating direction implicit approach (ADI); 2) A fast explicit solver; 3) Nearly dispersionless spectral spatial discretizations; and 4) A domain decomposition strategy that negotiates the interactions between the implicit and explicit domains. In particular, the implicit methodology is quasi-unconditionally stable (it does not suffer from CFL constraints for adequately resolved flows), and it can deliver orders of time accuracy between two and six in the presence of general boundary conditions. As demonstrated via a variety of numerical experiments in two and three dimensions, further, the proposed multi-domain parallel implicit-explicit implementations exhibit high-order convergence in space and time, robust stability properties, limited dispersion, and high parallel efficiency.

Item Type:Article
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URLURL TypeDescription
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2019 Elsevier. Received 30 May 2018, Revised 16 February 2019, Accepted 19 February 2019, Available online 7 March 2019. The authors gratefully acknowledge support by NSF and AFOSR and DARPA through contracts DMS-1411876, DMS-1714169, FA9550-15-1-0043 and HR00111720035, and the NSSEFF Vannevar Bush Fellowship under contract number N00014-16-1-2808.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0043
Defense Advanced Research Projects Agency (DARPA)HR00111720035
National Security Science and Engineering Faculty FellowshipUNSPECIFIED
Subject Keywords:Navier-Stokes; Alternating direction implicit; Fourier continuation; Overset grid; High-order
Record Number:CaltechAUTHORS:20190308-103045387
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Official Citation:Oscar P. Bruno, Max Cubillos, Edwin Jimenez, Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers, Journal of Computational Physics, Volume 391, 2019, Pages 322-346, ISSN 0021-9991, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93652
Deposited By: George Porter
Deposited On:08 Mar 2019 22:05
Last Modified:16 Nov 2021 16:59

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