Numerical Approximation of the Inviscid 3D Primitive Equations in a Limited Domain
This work addresses boundary condition and numerical scheme development for geophysical fluid dynamics, but the lack of quantitative results makes it an incremental contribution.
The paper proposes new nonlocal boundary conditions and splitting-up numerical schemes for higher modes of the 3D inviscid primitive equations, with simulations on nested domains. No concrete numerical results or performance metrics are reported.
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.