1 - 5 of 5 Chapters
[In this chapter we describe various models for the atmosphere; they will be discretised in the rest of the book. We start by considering models with the fewest approximations and work our way down to simplified models.]
[In this chapter, we introduce some basic concepts for discretisation of geophysical fluid models, motivated by the compatible finite element framework. We begin by defining compatible finite element spaces in two dimensions, before using them to describe a compatible finite element...
[The Firedrake project is an automated system for solving variational problems using the finite element method (Rathgeber et al., 2016). “Automated” in this context means that the user specifies the finite element problem symbolically using high level code that reflects the mathematical...
[In this chapter we describe how to implement geophysical fluid dynamics models in Firedrake, focusing on two-dimensional models. The chapter is formed from code examples which highlight relevant aspects of the Firedrake modelling system. In particular, the definition and construction of...
[As we move from two dimensional models, such as the shallow water equations discussed in the last chapter, to three dimensional models, the problem of efficient parallel iterative algorithms for implicit linear systems becomes an urgent priority. In this chapter we discuss some situations where...
Read and print from thousands of top scholarly journals.
Continue with Facebook
Log in with Microsoft
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.