Name
Abstract | ||
|---|---|---|
Climate simulation will not grow to the ultrascale without new algorithms to overcome the scalability barriers blocking existing implementations. Until recently, climate simulations concentrated on the question of whether the climate is changing. The emphasis is now shifting to impact assessments, mitigation and adaptation strategies, and regional details. Such studies will require significant increases in spatial resolution and model complexity while maintaining adequate throughput. The barrier to progress is the resulting decrease in time step without increasing single-thread performance. In this paper we demonstrate how to overcome this time barrier for the first standard test defined for the shallow-water equations on a sphere. This paper explains how combining a multiwavelet discontinuous Galerkin method with exact linear part time-evolution schemes can overcome the time barrier for advection equations on a sphere. The discontinuous Galerkin method is a high-order method that is conservative, flexible, and scalable. The addition of multiwavelets to discontinuous Galerkin provides a hierarchical scale structure that can be exploited to improve computational efficiency in both the spatial and temporal dimensions. Exact linear part time-evolution schemes are explicit schemes that remain stable for implicit-size time steps. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/978-3-642-01973-9_29 | ICCS (2) |
Keywords | Field | DocType |
cubed sphere,discontinuous galerkin method,discontinuous galerkin,time acceleration methods,time barrier,high-order method,time step,implicit-size time step,climate simulation,exact linear part time-evolution,scalability barrier,multiwavelet discontinuous galerkin method,environmental science,performance,climatic change,climate models,shallow water equation,advection,spatial resolution,acceleration,climate change mitigation,impact assessment,environmental sciences,climate model | Discontinuous Galerkin method,Mathematical optimization,Climate model,Computer science,Advection,Acceleration,Throughput,Shallow water equations,Spectral element method,Scalability | Conference |
Volume | ISSN | Citations |
5545 | 0302-9743 | 1 |
PageRank | References | Authors |
0.43 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| R.K. Archibald | 1 | 93 | 10.41 |
| Katherine J. Evans | 2 | 85 | 11.24 |
| J. B. Drake | 3 | 10 | 3.77 |
| James B. White III | 4 | 79 | 15.09 |