A numerical stability analysis for the two-dimensional incompressible Euler equations

DOI10.1016/0021-9991(88)90004-6zbMath0652.76066OpenAlexW2081287996MaRDI QIDQ1107397

A. F. Bennett, M. G. G. Foreman

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90004-6

zbMATH Keywords

normal mode analysisfinite difference solutionrotating reference framestability of a set of mixed hyperbolic/elliptic equationstwo-dimensional incompressible Euler equationstwo-dimensional nondivergent model of ocean circulation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Meteorology and atmospheric physics (86A10)

Uses Software

• NAG

Cites Work

• Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
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