Displaying similar documents to “Numerical approximation of the inviscid 3D primitive equations in a limited domain”

Numerical approximation of the inviscid 3D primitive equations in a limited domain

Qingshan Chen, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

A new set of nonlocal boundary conditions is 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.

Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

Yuanfei Li, Shengzhong Xiao (2022)

Applications of Mathematics

Similarity:

In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.

Numerical simulations of the humid atmosphere above a mountain

Arthur Bousquet, Mickaël D. Chekroun, Youngjoon Hong, Roger M. Temam, Joseph Tribbia (2015)

Mathematics of Climate and Weather Forecasting

Similarity:

New avenues are explored for the numerical study of the two dimensional inviscid hydrostatic primitive equations of the atmosphere with humidity and saturation, in presence of topography and subject to physically plausible boundary conditions for the system of equations. Flows above a mountain are classically treated by the so-called method of terrain following coordinate system. We avoid this discretization method which induces errors in the discretization of tangential derivatives...

Generalization of a theorem of Steinhaus

C. Cobeli, G. Groza, M. Vâjâitu, A. Zaharescu (2002)

Colloquium Mathematicae

Similarity:

We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.