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An efficient compressible nonhydrostatic ocean model. Part I: eigenvalue analysis

Year: 2026

Type: article

Abstract: A single parameter α >>1 is introduced to the Modified Continuity Equation (MCE). The eigenvalues derived from the linearized equations show this modification significantly slows and damps acoustic waves, while neither altering the equation of state nor affecting the amplification or propagation speed of internal gravity waves. The MCE preserves the realistic property of gravity waves while relaxes time-step constraints imposed by acoustic waves, where the speed reduced to 1/ $$\sqrt \alpha$$ of that in the unmodified acoustic waves.

Source: Terrestrial Atmospheric and Oceanic Sciences

DOI: 10.1007/s44195-026-00148-7

Author: Wen-Yih Sun

Institutions: Purdue University West Lafayette, National Central University, Research Center for Environmental Changes, Academia Sinica, Academia Sinica

Language: English

Topic: Oceanographic and Atmospheric Processes

Subfield: Oceanography

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,090

OpenAlex ID: W7211870619

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