In this paper, we propose a systematic approach for accelerating finite element-type
methods by machine learning for the numerical solution of partial differential equations …

Free surface flows often appear in ocean, engineering and atmospheric modelling. In many
applications involving unsteady water flows where the horizontal length scale is much …

A structure-preserving discretization of the shallow-water equations on unstructured
spherical grids is introduced. The unstructured grids that we consider have triangular cells …

Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere
Shallow-Water Model in: Monthly Weather Review Volume 144 Issue 12 (2016) Jump to …

Three-dimensional (3D) buffer analysis is among the basic functions of 3D spatial analysis,
and it plays an important role in 3D geographic information systems. The rapid development …

The shallow‐water equations (SWEs) are discretized on a spherical multiple‐cell (SMC) grid
and validated with classical tests, including steady zonal flow over flat or hill floor, the R …

The purpose of this book is to provide an introduction to and an overview of numerical
modelling of the ocean and the atmosphere. It has evolved from a course given at Stockholm …

In order to make the best use of the diverse hardware architectures in present and future
high-performance computers, developers and maintainers of scientific simulation codes …

Abstract A high-resolution, 1-D numerical model has been developed in the discontinuous
Galerkin framework to simulate 1-D flow behavior, sediment transport, and morphological …

The development of any atmosphere or ocean model warrants a suite of test cases (TCs) to
verify its spatial and temporal discretizations, order of accuracy, stability, reproducibility …