30 citations · 54 across the 2 of their papers we have counts for
2 papers
math.NA2019★ 30 cited
A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations
Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
We develop a well-balanced central-upwind scheme for rotating shallow water model with horizontal temperature and/or density gradients---the thermal rotating shallow water (TRSW).…
chao-dyn1998★ 24 cited
Hamilton's principle for quasigeostrophic motion
Darryl D. Holm, Vladimir Zeitlin
We show that the equation of quasigeostrophic (QG) potential vorticity conservation in geophysical fluid dynamics follows from Hamilton's principle for stationary variations of an…