scholarly journals Goal-Oriented Error Estimation and Mesh Adaptation for Shallow Water Modelling

2019 ◽  
Author(s):  
Joseph Wallwork ◽  
Nicolas Barral ◽  
Stephan Kramer ◽  
David Ham ◽  
Matthew Piggott
Keyword(s):  
Shallow Water ◽  
Error Estimation ◽  
Mesh Adaptation

scholarly journals Goal-oriented error estimation and mesh adaptation for shallow water modelling

2020 ◽  
Vol 2 (6) ◽  
Author(s):  
Joseph G. Wallwork ◽  
Nicolas Barral ◽  
Stephan C. Kramer ◽  
David A. Ham ◽  
Matthew D. Piggott
Keyword(s):  
Shallow Water ◽  
Error Estimation ◽  
Mesh Adaptation

Predicting mesh density for adaptive modelling of the global atmosphere

2009 ◽  
Vol 367 (1907) ◽  
pp. 4523-4542 ◽  
Author(s):  
Hilary Weller
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Large Scale ◽  
Mesh Adaptation ◽  
Similar Proportion ◽  
Test Case ◽  
Uniform Mesh ◽  
Coarse Mesh ◽  
Mesh Density ◽  
The Cost

The shallow water equations are solved using a mesh of polygons on the sphere, which adapts infrequently to the predicted future solution. Infrequent mesh adaptation reduces the cost of adaptation and load-balancing and will thus allow for more accurate mapping on adaptation. We simulate the growth of a barotropically unstable jet adapting the mesh every 12 h. Using an adaptation criterion based largely on the gradient of the vorticity leads to a mesh with around 20 per cent of the cells of a uniform mesh that gives equivalent results. This is a similar proportion to previous studies of the same test case with mesh adaptation every 1–20 min. The prediction of the mesh density involves solving the shallow water equations on a coarse mesh in advance of the locally refined mesh in order to estimate where features requiring higher resolution will grow, decay or move to. The adaptation criterion consists of two parts: that resolved on the coarse mesh, and that which is not resolved and so is passively advected on the coarse mesh. This combination leads to a balance between resolving features controlled by the large-scale dynamics and maintaining fine-scale features.

scholarly journals Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling

2021 ◽  
Author(s):  
Joseph Wallwork ◽  
Nicolas Barral ◽  
David Ham ◽  
Matthew Piggott
Keyword(s):  
Error Estimation ◽  
Mesh Adaptation ◽  
Tracer Transport ◽  
Transport Modelling

On the a Posteriori Error Estimation in Mesh Adaptation to Improve CFD Solutions

2006 ◽  
Author(s):  
Lakhdar Remaki ◽  
Sivakumaran Nadarajah ◽  
Wagdi G. Habashi ◽  
Mark C. Bogstad ◽  
Cedric Kho ◽  
...  
Keyword(s):  
Error Estimation ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
Mesh Adaptation ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error
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