Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition

Zhang, Hong; Liu, Zhengyu; Constantinescu, Emil; Jacob, Robert

doi:10.1007/s10915-022-01983-9

Title: Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition

Journal Article · Fri Sep 09 00:00:00 EDT 2022 · Journal of Scientific Computing

DOI:https://doi.org/10.1007/s10915-022-01983-9· OSTI ID:1960721

^[1]; Liu, Zhengyu ^[2]; Constantinescu, Emil ^[1]; Jacob, Robert ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)
The Ohio State Univ., Columbus, OH (United States)

Numerical stability is of critical importance in general circulation models because it affects the design of algorithms, time to solution, and computational costs associated with the simulations, which are very expensive in practice. In this paper we extend the stability analysis for ocean-atmosphere coupling proposed in [Zhang et al., J. Sci. Comput. 84, 44(2020)] to a more realistic model that includes horizontal advection. We analyze various time-stepping strategies. We find that advection has a stabilizing effect in scenarios common to climate models when bulk interface condition and explicit flux coupling are used. We also show that our method can be used to study the stability impact of advection for other interface conditions such as Dirichlet-Neumann conditions.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1960721

Journal Information:: Journal of Scientific Computing, Vol. 93, Issue 1; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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