Analysis of a mixed finite-element pair proposed for an atmospheric dynamical core

2013 ◽  
Vol 139 (674) ◽  
pp. 1239-1254 ◽  
Author(s):  
Andrew Staniforth ◽  
Thomas Melvin ◽  
Colin Cotter
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Dynamical Core ◽  
Element Pair

Transport Schemes in GungHo

2021 ◽  
Author(s):  
James Kent
Keyword(s):  
Finite Element ◽  
Finite Volume ◽  
Mixed Finite Element ◽  
Method Of Lines ◽  
Finite Volume Methods ◽  
Kutta Method ◽  
Finite Volume Schemes ◽  
Dynamical Core ◽  
Runge Kutta Method ◽  
The Stability

<p>GungHo is the mixed finite-element dynamical core under development by the Met Office. A key component of the dynamical core is the transport scheme, which advects density, temperature, moisture, and the winds, throughout the atmosphere. Transport in GungHo is performed by finite-volume methods, to ensure conservation of certain quantaties. There are a range of different finite-volume schemes being considered for transport, including the Runge-Kutta/method-of-lines and COSMIC/Lin-Rood schemes. Additional horizontal/vertical splitting approaches are also under consideration, to improve the stability aspects of the model. Here we discuss these transport options and present results from the GungHo framework, featuring both prescribed velocity advection tests and full dry dynamical core tests. </p>

scholarly journals An Efficient Algorithm with Stabilized Finite Element Method for the Stokes Eigenvalue Problem

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Zhifeng Weng ◽  
Yaoxiong Cai
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Stokes Problem ◽  
Mixed Finite Element ◽  
Computational Time ◽  
Element Space ◽  
Stabilized Finite Element ◽  
Stabilized Finite Element Method ◽  
Stokes Eigenvalue Problem ◽  
Element Pair

This paper provides a two-space stabilized mixed finite element scheme for the Stokes eigenvalue problem based on local Gauss integration. The two-space strategy contains solving one Stokes eigenvalue problem using theP1-P1finite element pair and then solving an additional Stokes problem using theP2-P2finite element pair. The postprocessing technique which increases the order of mixed finite element space by using the same mesh can accelerate the convergence rate of the eigenpair approximations. Moreover, our method can save a large amount of computational time and the corresponding convergence analysis is given. Finally, numerical results are presented to confirm the theoretical analysis.

A two-dimensional mixed finite-element pair on rectangles

2013 ◽  
Vol 140 (680) ◽  
pp. 930-942 ◽  
Author(s):  
Thomas Melvin ◽  
Andrew Staniforth ◽  
Colin Cotter
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Two Dimensional ◽  
Element Pair
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