High-Order/Low-Order methods for ocean modeling

Newman, Christopher; Womeldorff, Geoff; Chacón, Luis; Knoll, Dana A.

doi:10.1016/j.procs.2015.05.477

Title: High-Order/Low-Order methods for ocean modeling

Journal Article · Mon Jun 01 00:00:00 EDT 2015 · Procedia Computer Science

DOI:https://doi.org/10.1016/j.procs.2015.05.477· OSTI ID:1194067

Newman, Christopher ^[1]; Womeldorff, Geoff ^[1]; Chacón, Luis ^[1]; Knoll, Dana A. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this study, we examine a High Order/Low Order (HOLO) approach for a z-level ocean model and show that the traditional semi-implicit and split-explicit methods, as well as a recent preconditioning strategy, can easily be cast in the framework of HOLO methods. The HOLO formulation admits an implicit-explicit method that is algorithmically scalable and second-order accurate, allowing timesteps much larger than the barotropic time scale. We show how HOLO approaches, in particular the implicit-explicit method, can provide a solid route for ocean simulation to heterogeneous computing and exascale environments.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1194067

Alternate ID(s):: OSTI ID: 1234711

Report Number(s):: LA-UR-15-20576; PII: S1877050915012855

Journal Information:: Procedia Computer Science, Vol. 51, Issue C; Conference: International Conference on Computational Science (ICCS 2015). Computational Science at the Gates of Nature, Reykjavik (Iceland), 1-3 Jun 2015; ISSN 1877-0509

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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References (25)

Barotropic-Baroclinic Time Splitting for Ocean Circulation Modeling Higdon, Robert L.; de Szoeke, Roland A. Journal of Computational Physics, Vol. 135, Issue 1 https://doi.org/10.1006/jcph.1997.5733	journal	July 1997
Recent Trends in Strawberry Production and Research: an Overview. Rosati, P. Acta Horticulturae, Issue 348 https://doi.org/10.17660/actahortic.1993.348.1	journal	August 1993
Implicit-Explicit Methods for Time-Dependent Partial Differential Equations Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. SIAM Journal on Numerical Analysis, Vol. 32, Issue 3 https://doi.org/10.1137/0732037	journal	June 1995
An efficient mixed-precision, hybrid CPU–GPU implementation of a nonlinearly implicit one-dimensional particle-in-cell algorithm Chen, G.; Chacón, L.; Barnes, D. C. Journal of Computational Physics, Vol. 231, Issue 16 https://doi.org/10.1016/j.jcp.2012.04.040	journal	June 2012
An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm Chen, G.; Chacón, L.; Barnes, D. C. Journal of Computational Physics, Vol. 230, Issue 18 https://doi.org/10.1016/j.jcp.2011.05.031	journal	August 2011
Implicit free-surface method for the Bryan-Cox-Semtner ocean model Dukowicz, John K.; Smith, Richard D. Journal of Geophysical Research, Vol. 99, Issue C4 https://doi.org/10.1029/93JC03455	journal	January 1994
Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems Durran, Dale R.; Blossey, Peter N. Monthly Weather Review, Vol. 140, Issue 4 https://doi.org/10.1175/MWR-D-11-00088.1	journal	April 2012
Development of a 2-D algorithm to simulate convection and phase transition efficiently Evans, Katherine J.; Knoll, D. A.; Pernice, Michael Journal of Computational Physics, Vol. 219, Issue 1 https://doi.org/10.1016/j.jcp.2006.03.025	journal	November 2006
Stable Split Time Stepping Schemes for Large-Scale Ocean Modeling Hallberg, Robert Journal of Computational Physics, Vol. 135, Issue 1 https://doi.org/10.1006/jcph.1997.5734	journal	July 1997
An overview of the Trilinos project Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G. ACM Transactions on Mathematical Software, Vol. 31, Issue 3 https://doi.org/10.1145/1089014.1089021	journal	September 2005
A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems Kadioglu, Samet Y.; Knoll, Dana A. Journal of Computational Physics, Vol. 229, Issue 9 https://doi.org/10.1016/j.jcp.2009.12.039	journal	May 2010
A second order self-consistent IMEX method for radiation hydrodynamics Kadioglu, Samet Y.; Knoll, Dana A.; Lowrie, Robert B. Journal of Computational Physics, Vol. 229, Issue 22 https://doi.org/10.1016/j.jcp.2010.07.019	journal	November 2010
Application of a fractional-step method to incompressible Navier-Stokes equations Kim, J.; Moin, P. Journal of Computational Physics, Vol. 59, Issue 2 https://doi.org/10.1016/0021-9991(85)90148-2	journal	June 1985
Jacobian-free Newton–Krylov methods: a survey of approaches and applications Knoll, D. A.; Keyes, D. E. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.08.010	journal	January 2004
Application of the Jacobian-Free Newton-Krylov Method to Nonlinear Acceleration of Transport Source Iteration in Slab Geometry Knoll, D. A.; Park, H.; Smith, Kord Nuclear Science and Engineering, Vol. 167, Issue 2 https://doi.org/10.13182/NSE09-75	journal	February 2011
A second-order accurate in time IMplicit–EXplicit (IMEX) integration scheme for sea ice dynamics Lemieux, Jean-François; Knoll, Dana A.; Losch, Martin Journal of Computational Physics, Vol. 263 https://doi.org/10.1016/j.jcp.2014.01.010	journal	April 2014
An eddy resolving global 1/10° ocean simulation Maltrud, Mathew E.; McClean, Julie L. Ocean Modelling, Vol. 8, Issue 1-2 https://doi.org/10.1016/j.ocemod.2003.12.001	journal	January 2005
Physics-Based Preconditioners for Ocean Simulation Newman, C.; Knoll, D. A. SIAM Journal on Scientific Computing, Vol. 35, Issue 5 https://doi.org/10.1137/120881397	journal	January 2013
Nonlinear Acceleration of Transport Criticality Problems Park, H.; Knoll, D. A.; Newman, C. K. Nuclear Science and Engineering, Vol. 172, Issue 1 https://doi.org/10.13182/NSE11-81	journal	September 2012
An Efficient and Time Accurate, Moment-Based Scale-Bridging Algorithm for Thermal Radiative Transfer Problems Park, H.; Knoll, D. A.; Rauenzahn, R. M. SIAM Journal on Scientific Computing, Vol. 35, Issue 5 https://doi.org/10.1137/120881075	journal	January 2013
A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems Park, H.; Knoll, D. A.; Rauenzahn, R. M. Transport Theory and Statistical Physics, Vol. 41, Issue 3-4 https://doi.org/10.1080/00411450.2012.671224	journal	May 2012
A multi-resolution approach to global ocean modeling Ringler, Todd; Petersen, Mark; Higdon, Robert L. Ocean Modelling, Vol. 69 https://doi.org/10.1016/j.ocemod.2013.04.010	journal	September 2013
Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov--Ampère Particle in Cell (PIC) System Taitano, William T.; Knoll, Dana A.; Chacón, Luis SIAM Journal on Scientific Computing, Vol. 35, Issue 5 https://doi.org/10.1137/120881385	journal	January 2013
Response of the Atlantic Ocean circulation to Greenland Ice Sheet melting in a strongly-eddying ocean model: OVERTURNING RESPONSE Weijer, W.; Maltrud, M. E.; Hecht, M. W. Geophysical Research Letters, Vol. 39, Issue 9 https://doi.org/10.1029/2012GL051611	journal	May 2012
Efficient Fully Implicit Time Integration Methods for Modeling Cardiac Dynamics IEEE Transactions on Biomedical Engineering, Vol. 55, Issue 12 https://doi.org/10.1109/TBME.2008.925673	journal	December 2008

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