Mesh generation and mesh adaptation for large-scale Earth-system modelling

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 367, Issue 1907, 2009, Pages 4473-4481

  Nikiforakis, N ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 73249115314     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2009.0197     Document Type: Review

References (17)

1. Behrens, J. 2006 Adaptive atmospheric modelling: key techniques in grid generation, data structures and numerical operations with applications. Springer Lecture Notes in Computational Science and Engineering. Berlin, Germany: Springer.
2. Behrens, J. & Bader, M. 2009 Efficiency considerations in triangular adaptive mesh refinement. Phil. Trans. R. Soc. A 367, 4577-4589. (doi:10.1098/rsta.2009.0175).
3. Berger, M. J., Calhoun, D. A., Helzel, C. & LeVeque, R. J. 2009 Logically rectangular finite volume methods with adaptive refinement on the sphere. Phil. Trans. R. Soc. A 367, 4483-4496. (doi:10.1098/rsta.2009.0168).
4. Castro, C. E., K̈ser, M. & Toro, E. F. 2009 Spac-time adaptive numerical methods for geophysical applications. Phil. Trans. R. Soc. A 367, 4613-4631. (doi:10.1098/rsta.2009.0158).
5. Fergiger, J. H. & Peric, M. 2002 Computational methods for fluid dynamics. Berlin, Germany: Springer.
6. Gatti-Bono, C. & Colella, P. 2009 An all-speed projection and filtering method for gravity-stratified flows. Phil. Trans. R. Soc. A 367, 4543-4558. (doi:10.1098/rsta.2009.0169).
7. Hirsch, C. 2007 Numerical computation of internal and external flows. Oxford, UK: Butterworth-Heinemann.
8. Hubbard, M. E. & Nikiforakis, N. 2003 A three-dimensional adaptive, Godunov-type model for global atmospheric flows. Mon. Wea. Rev. 131, 1848-1864. (doi:10.1175//2568.1). (Pubitemid 37124278)
9. Jablonowski, C., Oehmke, R. C. & Stout, Q. F. 2009 Block-structured adaptive meshes and reduced grids for atmospheric general circulation models. Phil. Trans. R. Soc. A 367, 4497-4522. (doi:10.1098/rsta.2009.0150).
10. Klein, R., Bates, K. R. & Nikiforakis, N. 2009 Well-balanced compressible cut-cell simulation of atmospheric flow. Phil. Trans. R. Soc. A 367, 4559-4575. (doi:10.1098/rsta.2009.0174).
11. Nikiforakis, N. 2005 AMR for global atmospheric modelling. In Adaptive mesh refinement-theory and applications (eds T. Plewa, T. Linde &V. W. Weirs). Lecture Notes in Computational Science and Engineering, no. 41. Berlin, Germany: Springer.
12. Pau, G. S. H., Almgren, A. S., Bell, J. B. & Lijewski, M. J. 2009 A parallel second-order adaptive mesh algorithm for incompressible flow in porous media. Phil. Trans. R. Soc. A 367, 4633-4654. (doi:10.1098/rsta.2009.0160).
13. Piggott, M. D., Farrell, P. E., Wilson, C. R., Gorman, G. J. &Pain, C. C. 2009 Anisotropic mesh adaptivity for multi-scale ocean modelling. Phil. Trans. R. Soc. A 367, 4591-4611. (doi:10.1098/rsta.2009.0155)
14. Plewa, T., Linde, T. & Weirs, V. G. 2005 Adaptive mesh refinement-theory and applications. Springer Lecture Notes in Computational Science and Engineering. Berlin, Germany: Springer.
15. Tanehill, J.C. Anderson D.A. Pletcher R.H. 1997 Computational fluid mechanics and heat transfer. Philadelphia, PA: Taylor & Francis.
16. Thompson, J.F. Soni, B.K. Weatherill, N.P.(eds)1999 Handbook of grid generation. Boca Raton, FL: CRC Press.
17. Weller, H. 2009 Predicting mesh density for adaptive modelling of the global atmosphere. Phil. Trans. R. Soc. A 367, 4523-4542. (doi:10.1098/rsta. 2009.0151)