On the Efficiency of Staggered C-Grid Discretization for the Inviscid Shallow Water Equations from the Perspective of Nonstandard Calculus

This paper provides a rationale for the commonly observed numerical efficiency of staggered C-grid discretizations for solving the inviscid shallow water equations. In particular, using the key concepts of nonstandard calculus, we aim to show that the grid staggering of the primitive variables (surf...

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Bibliographic Details
Main Author: Marcel Zijlema
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/9/1387