메뉴 건너뛰기




Volumn 140, Issue 3, 2012, Pages 978-996

A dynamic hp-Adaptive discontinuous Galerkin method for shallow-water flows on the sphere with application to a global tsunami simulation

Author keywords

Adaptive models; Numerical analysis modeling; Shallow water equations

Indexed keywords

ADAPTIVE MODELS; ATMOSPHERIC APPLICATIONS; CARTESIAN COORDINATE; COMPUTATIONAL LOADS; COMPUTATIONAL TIME; DISCONTINUOUS GALERKIN METHODS; ERROR ESTIMATORS; GALERKIN MODEL; MULTI-RESOLUTIONS; MULTISCALES; SHALLOW-WATER EQUATIONS; SHALLOW-WATER FLOW; SYSTEM OF EQUATIONS; TEST CASE; TSUNAMI SIMULATION;

EID: 84857935944     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/MWR-D-11-00038.1     Document Type: Article
Times cited : (44)

References (69)
  • 1
    • 0036149118 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for two-dimensional flow and transport in shallow water
    • doi:10.1016/S0309-1708(01)00019-7
    • Aizinger, V., and C. Dawson, 2002: A discontinuous Galerkin method for two-dimensional flow and transport in shallow water. Adv. Water Resour., 25, 67-84, doi:10.1016/S0309-1708(01)00019-7.
    • (2002) Adv. Water Resour. , vol.25 , pp. 67-84
    • Aizinger, V.1    Dawson, C.2
  • 2
    • 68249143775 scopus 로고    scopus 로고
    • ETOPO1 1 arc-minute global relief model: Procedures, data sources and analysis
    • NESDIS NGDC-24
    • Amante, C., and B. W. Eakins, 2009: ETOPO1 1 arc-minute global relief model: Procedures, data sources and analysis. Tech. Rep., NOAA Tech. Memo. NESDIS NGDC-24, 19 pp.
    • (2009) Tech. Rep., NOAA Tech. Memo. , pp. 19
    • Amante, C.1    Eakins, B.W.2
  • 4
    • 67650131339 scopus 로고    scopus 로고
    • High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations
    • Bernard, P.-E., J.-F. Remacle, R. Comblen, V. Legat, and K. Hillewaert, 2009: High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations. J. Comput. Phys., 228 (17), 6514-6535.
    • (2009) J. Comput. Phys. , vol.228 , Issue.17 , pp. 6514-6535
    • Bernard, P.-E.1    Remacle, J.-F.2    Comblen, R.3    Legat, V.4    Hillewaert, K.5
  • 5
    • 47149102402 scopus 로고    scopus 로고
    • Early experiences with the 360TF IBM Blue Gene/L platform
    • Bhanot, G., and Coauthors, 2008: Early experiences with the 360TF IBM Blue Gene/L platform. Int. J. Comput. Methods, 5, 237-253.
    • (2008) Int. J. Comput. Methods , vol.5 , pp. 237-253
    • Bhanot, G.1
  • 6
    • 77954819138 scopus 로고    scopus 로고
    • Capturing the residence time boundary layer-application to the Scheldt Estuary
    • doi:10.1007/s10236-010-0272-8
    • Blaise, S., B. de Brye, A. de Brauwere, E. Deleersnijder, E. J. M. Delhez, and R. Comblen, 2010a: Capturing the residence time boundary layer-application to the Scheldt Estuary. Ocean Dyn., 60, 535-554, doi:10.1007/s10236-010-0272-8.
    • (2010) Ocean Dyn , vol.60 , pp. 535-554
    • Blaise, S.1    de Brye, B.2    de Brauwere, A.3    Deleersnijder, E.4    Delhez, E.J.M.5    Comblen, R.6
  • 7
    • 83655172753 scopus 로고    scopus 로고
    • Adiscontinuous finite element baroclinic marine model on unstructured prismatic meshes. Part I: Space discretization
    • doi:10.1007/ s10236-010-0358-3
    • Blaise, S., R. Comblen, V. Legat, J.-F. Remacle, E. Deleersnijder, and J. Lambrechts, 2010b:Adiscontinuous finite element baroclinic marine model on unstructured prismatic meshes. Part I: Space discretization. Ocean Dyn., 60 (6), 1371-1393, doi:10.1007/ s10236-010-0358-3.
    • (2010) Ocean Dyn , vol.60 , Issue.6 , pp. 1371-1393
    • Blaise, S.1    Comblen, R.2    Legat, V.3    Remacle, J.-F.4    Deleersnijder, E.5    Lambrechts, J.6
  • 8
    • 84855252438 scopus 로고    scopus 로고
    • Zoltan 3.0: Parallel partitioning, load-balancing, and data management services: User's guide
    • cited. Sandia National Laboratories, Albuquerque, NM. Available online at
    • Boman, E., and Coauthors, cited 2011: Zoltan 3.0: Parallel partitioning, load-balancing, and data management services: User's guide. Tech. Rep. SAND2007-4748W, Sandia National Laboratories, Albuquerque, NM. [Available online at http://www.cs.sandia.gov/Zoltan/ug_html/ug.html.]
    • (2011) Tech. Rep. SAND2007-4748W
    • Boman, E.1
  • 10
    • 79953204992 scopus 로고    scopus 로고
    • An adaptive multimoment global model on a cubed sphere
    • Chen, C., F. Xiao, and X. Li, 2011: An adaptive multimoment global model on a cubed sphere. Mon. Wea. Rev., 139, 523-548.
    • (2011) Mon. Wea. Rev. , vol.139 , pp. 523-548
    • Chen, C.1    Xiao, F.2    Li, X.3
  • 11
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • Cockburn, B., and C.-W. Shu, 2001: Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput., 16 (3), 173-261.
    • (2001) J. Sci. Comput. , vol.16 , Issue.3 , pp. 173-261
    • Cockburn, B.1    Shu, C.-W.2
  • 13
    • 62849096630 scopus 로고    scopus 로고
    • A finite element method for solving the shallow water equations on the sphere
    • doi:10.1016/j.ocemod. 2008.05.004
    • Comblen, R., S. Legrand, E. Deleersnijder, and V. Legat, 2009: A finite element method for solving the shallow water equations on the sphere. Ocean Modell., 28, 12-23, doi:10.1016/j.ocemod. 2008.05.004.
    • (2009) Ocean Modell , vol.28 , pp. 12-23
    • Comblen, R.1    Legrand, S.2    Deleersnijder, E.3    Legat, V.4
  • 14
    • 83655164595 scopus 로고    scopus 로고
    • Adiscontinuous finite element baroclinic marine model on unstructured prismatic meshes. Part II: Implicit/explicit time discretization
    • doi:10.1007/s10236-010-0357-42010
    • Comblen, R., S. Blaise, V. Legat, J.-F. Remacle, E. Deleersnijder, and J. Lambrechts, 2010:Adiscontinuous finite element baroclinic marine model on unstructured prismatic meshes. Part II: Implicit/explicit time discretization. Ocean Dyn., 60 (6), 1395-1414, doi:10.1007/s10236-010-0357-4.
    • Ocean Dyn , vol.60 , Issue.6 , pp. 1395-1414
    • Comblen, R.1    Blaise, S.2    Legat, V.3    Remacle, J.-F.4    Deleersnijder, E.5    Lambrechts, J.6
  • 15
    • 0000397713 scopus 로고
    • ALagrange multiplier approach for the metric terms of semi-Lagrangianmodels on the sphere
    • Côté, J., 1988:ALagrange multiplier approach for the metric terms of semi-Lagrangianmodels on the sphere. Quart. J. Roy. Meteor. Soc., 114, 1347-1352.
    • (1988) Quart. J. Roy. Meteor. Soc. , vol.114 , pp. 1347-1352
    • Côté, J.1
  • 16
    • 23844497385 scopus 로고    scopus 로고
    • High-resolution mesh convergence properties and parallel efficiency of a spectral element atmospheric dynamical core
    • Dennis, J., A. Fournier, W. F. Spotz, A. St-Cyr, M. A. Taylor, S. J. Thomas, and H. Tufo, 2005a: High-resolution mesh convergence properties and parallel efficiency of a spectral element atmospheric dynamical core. Int. J. High Perform. Comput. Appl., 19 (3), 225-235.
    • (2005) Int. J. High Perform. Comput. Appl. , vol.19 , Issue.3 , pp. 225-235
    • Dennis, J.1    Fournier, A.2    Spotz, W.F.3    St-Cyr, A.4    Taylor, M.A.5    Thomas, S.J.6    Tufo, H.7
  • 18
    • 84857776523 scopus 로고    scopus 로고
    • CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
    • doi:10.1177/1094342011428142, in press
    • Dennis, J., and Coauthors, 2011: CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model. Int. J. High Perform. Comput. Appl., doi:10.1177/1094342011428142, in press.
    • (2011) Int. J. High Perform. Comput. Appl.
    • Dennis, J.1
  • 19
    • 0003743351 scopus 로고    scopus 로고
    • High-Order Methods for Incompressible Fluid Flow
    • No. 9, Cambridge University Press
    • Deville, M. O., P. F. Fischer, and E. H. Mund, 2002: High-Order Methods for Incompressible Fluid Flow. Appl. Comput. Math. Monogr., No. 9, Cambridge University Press, 528 pp.
    • (2002) Appl. Comput. Math. Monogr. , pp. 528
    • Deville, M.O.1    Fischer, P.F.2    Mund, E.H.3
  • 20
  • 21
    • 3242732754 scopus 로고    scopus 로고
    • SIERRA framework version 3: Core services theory and design
    • Sandia National Laboratories, Albuquerque, NM
    • Edwards, H. C., 2002: SIERRA framework version 3: Core services theory and design. Tech. Rep. SAND2002-3616, Sandia National Laboratories, Albuquerque, NM, 97 pp.
    • (2002) Tech. Rep. SAND2002-3616 , pp. 97
    • Edwards, H.C.1
  • 22
    • 23644453661 scopus 로고    scopus 로고
    • Increasing destructiveness of tropical cyclones over the past 30 years
    • Emanuel, K., 2005: Increasing destructiveness of tropical cyclones over the past 30 years. Nature, 436, 686-688.
    • (2005) Nature , vol.436 , pp. 686-688
    • Emanuel, K.1
  • 23
    • 81255178666 scopus 로고    scopus 로고
    • An hp-adaptive discontinuous Galerkin method for shallow water flows
    • doi:10.1002/fld.2434
    • Eskilsson, C., 2011: An hp-adaptive discontinuous Galerkin method for shallow water flows. Int. J. Numer. Methods Fluids, 67 (11), 1605-1623, doi:10.1002/fld.2434.
    • (2011) Int. J. Numer. Methods Fluids , vol.67 , Issue.11 , pp. 1605-1623
    • Eskilsson, C.1
  • 24
    • 67650149648 scopus 로고    scopus 로고
    • Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities
    • Geuzaine, C., and J.-F. Remacle, 2009: Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Numer. Methods Eng., 11, 1309-1331.
    • (2009) Int. J. Numer. Methods Eng. , vol.11 , pp. 1309-1331
    • Geuzaine, C.1    Remacle, J.-F.2
  • 25
    • 0035971808 scopus 로고    scopus 로고
    • A spectral element shallow water model on spherical geodesic grids
    • Giraldo, F. X., 2001: A spectral element shallow water model on spherical geodesic grids. Int. J. Numer. Methods Fluids, 35 (8), 869-901.
    • (2001) Int. J. Numer. Methods Fluids , vol.35 , Issue.8 , pp. 869-901
    • Giraldo, F.X.1
  • 26
    • 33644960862 scopus 로고    scopus 로고
    • High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere
    • Giraldo, F. X., 2006: High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. J. Comput. Phys., 214 (2), 447-465.
    • (2006) J. Comput. Phys. , vol.214 , Issue.2 , pp. 447-465
    • Giraldo, F.X.1
  • 27
    • 40249104589 scopus 로고    scopus 로고
    • A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases
    • doi:10.1016/j.jcp.2007.12.009
    • Giraldo, F. X., and M. Restelli, 2008: A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases. J. Comput. Phys., 227, 3849-3877, doi:10.1016/j.jcp.2007.12.009.
    • (2008) J. Comput. Phys. , vol.227 , pp. 3849-3877
    • Giraldo, F.X.1    Restelli, M.2
  • 28
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • Giraldo, F. X., J. S. Hesthaven, and T. Warburton, 2002: Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. J. Comput. Phys., 181, 499-525.
    • (2002) J. Comput. Phys. , vol.181 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 29
    • 0032345207 scopus 로고    scopus 로고
    • Total variation diminishing Runge-Kutta schemes
    • doi:10.1090/ S0025-5718-98-00913-2
    • Gottlieb, S., and C.-W. Shu, 1998: Total variation diminishing Runge-Kutta schemes. Math. Comput., 67, 73-85, doi:10.1090/ S0025-5718-98-00913-2.
    • (1998) Math. Comput. , vol.67 , pp. 73-85
    • Gottlieb, S.1    Shu, C.-W.2
  • 31
    • 0035334760 scopus 로고    scopus 로고
    • Coupling cloud processes with the largescale dynamics using the cloud resolving convection parameterization (CRCP)
    • Grabowski, W. W., 2001: Coupling cloud processes with the largescale dynamics using the cloud resolving convection parameterization (CRCP). J. Atmos. Sci., 58, 978-997.
    • (2001) J. Atmos. Sci. , vol.58 , pp. 978-997
    • Grabowski, W.W.1
  • 32
    • 77952430575 scopus 로고    scopus 로고
    • Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
    • Springer
    • Hesthaven, J. S., and T. Wartburton, 2008: Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications. Texts in Applied Mathematics, Vol. 54, Springer, 515 pp.
    • (2008) Texts in Applied Mathematics , vol.54 , pp. 515
    • Hesthaven, J.S.1    Wartburton, T.2
  • 33
    • 0001178530 scopus 로고
    • Spectral transform solutions to the shallow water test set
    • Jakob-Chien, R., J. J. Hack, and D. L. Williamson, 1995: Spectral transform solutions to the shallow water test set. J. Comput. Phys., 119, 164-187.
    • (1995) J. Comput. Phys. , vol.119 , pp. 164-187
    • Jakob-Chien, R.1    Hack, J.J.2    Williamson, D.L.3
  • 35
    • 0035883283 scopus 로고    scopus 로고
    • A cloud resolving model as a cloud parameterization in the NCAR community climate system model: Preliminary results
    • Khairoutdinov, M. F., and D. A. Randall, 2001: A cloud resolving model as a cloud parameterization in the NCAR community climate system model: Preliminary results. Geophys. Res. Lett., 28, 3617-3620.
    • (2001) Geophys. Res. Lett. , vol.28 , pp. 3617-3620
    • Khairoutdinov, M.F.1    Randall, D.A.2
  • 36
    • 79953193476 scopus 로고    scopus 로고
    • MJO and convectively coupled waves in a coarse resolution GCM with a simple multicloud parameterization
    • Khouider, B., A. St-Cyr, A. J.Majda, and J. Tribbia, 2011: MJO and convectively coupled waves in a coarse resolution GCM with a simple multicloud parameterization. J. Atmos. Sci., 68, 240-264.
    • (2011) J. Atmos. Sci. , vol.68 , pp. 240-264
    • Khouider, B.1    St-Cyr, A.2    Majda, A.J.3    Tribbia, J.4
  • 37
    • 78651357257 scopus 로고    scopus 로고
    • On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
    • Kopriva, D. A., and G. Gassner, 2010: On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. J. Sci. Comput., 44, 136-155.
    • (2010) J. Sci. Comput. , vol.44 , pp. 136-155
    • Kopriva, D.A.1    Gassner, G.2
  • 38
    • 0037049933 scopus 로고    scopus 로고
    • Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method
    • Kopriva, D. A., S. L. Woodruff, and M. Y. Hussaini, 2002: Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method. Int. J. Numer. Methods Eng., 53, 105-122.
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 105-122
    • Kopriva, D.A.1    Woodruff, S.L.2    Hussaini, M.Y.3
  • 39
    • 33846598544 scopus 로고    scopus 로고
    • hp discontinuous Galerkin methods for advection dominated problems in shallow water flows
    • doi:10.1016/j.cma.2006.05.002
    • Kubatko, E. J., J. J. Westerink, and C. Dawson, 2006: hp discontinuous Galerkin methods for advection dominated problems in shallow water flows. Comput. Methods Appl. Mech. Eng., 196, 437-451, doi:10.1016/j.cma.2006.05.002.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.196 , pp. 437-451
    • Kubatko, E.J.1    Westerink, J.J.2    Dawson, C.3
  • 40
    • 63249134383 scopus 로고    scopus 로고
    • Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
    • Kubatko, E. J., S. Bunya, C. Dawson, and J. J. Westerink, 2009: Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations. Comput. Methods Appl. Mech. Eng., 198 (21-26), 1766-1774.
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , Issue.21-26 , pp. 1766-1774
    • Kubatko, E.J.1    Bunya, S.2    Dawson, C.3    Westerink, J.J.4
  • 43
    • 42649098889 scopus 로고    scopus 로고
    • An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations
    • Lörcher, F., G. Gassner, and C. Munz, 2008: An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. J. Comput. Phys., 227, 5649-5670.
    • (2008) J. Comput. Phys. , vol.227 , pp. 5649-5670
    • Lörcher, F.1    Gassner, G.2    Munz, C.3
  • 44
    • 33748344235 scopus 로고    scopus 로고
    • Atlantic hurricane trends linked to climate change
    • Mann, M. E., and K. A. Emanuel, 2006: Atlantic hurricane trends linked to climate change. Eos, Trans. Amer. Geophys. Union, 87 (24), 223-244.
    • (2006) Eos, Trans. Amer. Geophys. Union , vol.87 , Issue.24 , pp. 223-244
    • Mann, M.E.1    Emanuel, K.A.2
  • 45
    • 79960271335 scopus 로고    scopus 로고
    • A prototype two-decade fullycoupled fine-resolution CCSM simulation
    • McClean, J. L., and Coauthors, 2011: A prototype two-decade fullycoupled fine-resolution CCSM simulation. Ocean Modell., 39, 10-30.
    • (2011) Ocean Modell , vol.39 , pp. 10-30
    • McClean, J.L.1
  • 46
    • 0000218893 scopus 로고    scopus 로고
    • Numerical treatment of polar coordinate singularities
    • Mohseni, K., and T. Colonius, 2000: Numerical treatment of polar coordinate singularities. J. Comput. Phys., 157, 787-795.
    • (2000) J. Comput. Phys. , vol.157 , pp. 787-795
    • Mohseni, K.1    Colonius, T.2
  • 47
    • 18544370717 scopus 로고    scopus 로고
    • A discontinuous Galerkin global shallow water model
    • Nair, R. D., S. J. Thomas, and R. D. Loft, 2005a: A discontinuous Galerkin global shallow water model. Mon. Wea. Rev., 133, 876-888.
    • (2005) Mon. Wea. Rev. , vol.133 , pp. 876-888
    • Nair, R.D.1    Thomas, S.J.2    Loft, R.D.3
  • 48
    • 18544381244 scopus 로고    scopus 로고
    • A discontinuous Galerkin transport scheme on the cubed sphere
    • Nair, R. D., S. J. Thomas, and R. D. Loft, 2005b: A discontinuous Galerkin transport scheme on the cubed sphere. Mon. Wea. Rev., 133, 814-828.
    • (2005) Mon. Wea. Rev. , vol.133 , pp. 814-828
    • Nair, R.D.1    Thomas, S.J.2    Loft, R.D.3
  • 49
    • 56149090550 scopus 로고    scopus 로고
    • Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core
    • Nair, R. D., H.-W. Choi, and H. Tufo, 2009: Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core. Comput. Fluids, 38 (2), 309-319.
    • (2009) Comput. Fluids , vol.38 , Issue.2 , pp. 309-319
    • Nair, R.D.1    Choi, H.-W.2    Tufo, H.3
  • 50
    • 79960020848 scopus 로고    scopus 로고
    • Description of the NCAR community atmospheremodel (CAM4.0)
    • Neale, R. B., and Coauthors, 2010: Description of the NCAR community atmospheremodel (CAM4.0). Tech. Rep., NCAR, 212 pp.
    • (2010) Tech. Rep., NCAR , pp. 212
    • Neale, R.B.1
  • 51
    • 0000538790 scopus 로고
    • Surface deformation due to shear and tensile faults in a half-space
    • Okada, Y., 1985: Surface deformation due to shear and tensile faults in a half-space. Bull. Seismol. Soc. Amer., 75, 1135-1154.
    • (1985) Bull. Seismol. Soc. Amer. , vol.75 , pp. 1135-1154
    • Okada, Y.1
  • 53
    • 0030452194 scopus 로고    scopus 로고
    • A global shallowwatermodel using an expanded spherical cube:Gnomonic versus conformal coordinates
    • Rančić, M., R. J. Purser, and F. Messinger, 1996: A global shallowwatermodel using an expanded spherical cube:Gnomonic versus conformal coordinates.Quart. J. Roy.Meteor. Soc., 122, 959-982.
    • (1996) Quart. J. Roy. Meteor. Soc. , vol.122 , pp. 959-982
    • Rančić, M.1    Purser, R.J.2    Messinger, F.3
  • 54
    • 14344265344 scopus 로고    scopus 로고
    • Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods
    • Remacle, J.-F., X. Li, M. S. Shephard, and J. E. Flaherty, 2005: Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods. Int. J. Numer. Methods Eng., 62 (7), 899-923.
    • (2005) Int. J. Numer. Methods Eng. , vol.62 , Issue.7 , pp. 899-923
    • Remacle, J.-F.1    Li, X.2    Shephard, M.S.3    Flaherty, J.E.4
  • 55
    • 33750372610 scopus 로고    scopus 로고
    • An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods
    • Remacle, J.-F., S. S. Frazao, L. Xiangrong, and M. S. Shephard, 2006: An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods. Int. J. Numer. Methods Fluids, 52 (8), 903-992.
    • (2006) Int. J. Numer. Methods Fluids , vol.52 , Issue.8 , pp. 903-992
    • Remacle, J.-F.1    Frazao, S.S.2    Xiangrong, L.3    Shephard, M.S.4
  • 56
    • 34547192610 scopus 로고    scopus 로고
    • 3-d mesh adaptation on multiple weak discontinuities and boundary layers
    • doi:10.1137/S1064827503429879
    • Remaki, L., and W. G. Habashi, 2006: 3-d mesh adaptation on multiple weak discontinuities and boundary layers. SIAM J. Sci. Comput., 28, 1379-1397, doi:10.1137/S1064827503429879.
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 1379-1397
    • Remaki, L.1    Habashi, W.G.2
  • 57
    • 0030096121 scopus 로고    scopus 로고
    • The "Cubed Sphere": A new method for the solution of partial differential equations in spherical geometry
    • Ronchi, C., R. Iacono, and P. S. Paolucci, 1996: The "Cubed Sphere": A new method for the solution of partial differential equations in spherical geometry. J. Comput. Phys., 124, 93-114.
    • (1996) J. Comput. Phys. , vol.124 , pp. 93-114
    • Ronchi, C.1    Iacono, R.2    Paolucci, P.S.3
  • 58
    • 39549096002 scopus 로고    scopus 로고
    • Nonhydrostatic icosahedral atmosphericmodel (NICAM) for global cloud resolving simulations
    • doi:10.1016/j.jcp.2007.02.006
    • Satoh, M., T. Matsuno, H. Tomita, H. Miura, T. Nasuno, and S. Iga, 2008: Nonhydrostatic icosahedral atmosphericmodel (NICAM) for global cloud resolving simulations. J. Comput. Phys., 227, 3486-3514, doi:10.1016/j.jcp.2007.02.006.
    • (2008) J. Comput. Phys. , vol.227 , pp. 3486-3514
    • Satoh, M.1    Matsuno, T.2    Tomita, H.3    Miura, H.4    Nasuno, T.5    Iga, S.6
  • 59
    • 60349083994 scopus 로고    scopus 로고
    • Developing the next-generation climate system models: Challenges and achievements
    • Slingo, J., and Coauthors, 2009: Developing the next-generation climate system models: Challenges and achievements. Philos. Trans. Roy. Soc. A: Math. Phys. Eng. Sci., 367, 815-831.
    • (2009) Philos. Trans. Roy. Soc. A: Math. Phys. Eng. Sci. , vol.367 , pp. 815-831
    • Slingo, J.1
  • 60
    • 70149111746 scopus 로고    scopus 로고
    • A fully implicit Jacobian-free high-order discontinuousGalerkinmesoscale flow solver
    • Baton Roue, LA, LSU Center for Computation and Technology
    • St-Cyr, A., and D. Neckels, 2009: A fully implicit Jacobian-free high-order discontinuousGalerkinmesoscale flow solver. Proc. Ninth Int. Conf. on Computational Science, Baton Roue, LA, LSU Center for Computation and Technology, 243-252.
    • (2009) Proc. Ninth Int. Conf. on Computational Science , pp. 243-252
    • St-Cyr, A.1    Neckels, D.2
  • 61
    • 49749109144 scopus 로고    scopus 로고
    • A comparison of two shallow-water models with nonconforming adaptive grids
    • St-Cyr, A., C. Jablonowski, J. M. Dennis, H. M. Tufo, and S. J. Thomas, 2008: A comparison of two shallow-water models with nonconforming adaptive grids. Mon. Wea. Rev., 136, 1898-1922.
    • (2008) Mon. Wea. Rev. , vol.136 , pp. 1898-1922
    • St-Cyr, A.1    Jablonowski, C.2    Dennis, J.M.3    Tufo, H.M.4    Thomas, S.J.5
  • 62
    • 28344431549 scopus 로고    scopus 로고
    • SIERRA framework version 3: h-adaptivity design and use
    • SAND2002-4016, Sandia National Laboratories, Albuquerque, NM
    • Stewart, J. R., and H. C. Edwards, 2002: SIERRA framework version 3: h-adaptivity design and use. Tech. Rep. SAND2002-4016, Sandia National Laboratories, Albuquerque, NM, 28 pp.
    • (2002) Tech. Rep. , pp. 28
    • Stewart, J.R.1    Edwards, H.C.2
  • 64
    • 42449101808 scopus 로고    scopus 로고
    • Towards ultra-high resolution models of climate and weather
    • Wehner, M., 2008: Towards ultra-high resolution models of climate and weather. Int. J. High Perform. Comput. Appl., 22 (2), 149-156.
    • (2008) Int. J. High Perform. Comput. Appl. , vol.22 , Issue.2 , pp. 149-156
    • Wehner, M.1
  • 65
    • 74949124440 scopus 로고    scopus 로고
    • Voronoi, Delaunay, and block-structured mesh refinement for solution of the shallow-water equations on the sphere
    • Weller, H., H. G. Weller, and A. Fournier, 2009: Voronoi, Delaunay, and block-structured mesh refinement for solution of the shallow-water equations on the sphere. Mon. Wea. Rev., 137, 4208-4224.
    • (2009) Mon. Wea. Rev. , vol.137 , pp. 4208-4224
    • Weller, H.1    Weller, H.G.2    Fournier, A.3
  • 66
    • 0033077602 scopus 로고    scopus 로고
    • Convectively-coupled equatorial waves: Analysis of clouds and temperature in the wavenumber-frequency domain
    • Wheeler, M., and G. N. Kiladis, 1999: Convectively-coupled equatorial waves: Analysis of clouds and temperature in the wavenumber-frequency domain. J. Atmos. Sci., 56, 374-399.
    • (1999) J. Atmos. Sci. , vol.56 , pp. 374-399
    • Wheeler, M.1    Kiladis, G.N.2
  • 67
    • 77957756476 scopus 로고    scopus 로고
    • A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
    • Wilcox, L. C., G. Stadler, C. Burstedde, and O. Ghattas, 2010: A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. J. Comput. Phys., 229, 9373-9396.
    • (2010) J. Comput. Phys. , vol.229 , pp. 9373-9396
    • Wilcox, L.C.1    Stadler, G.2    Burstedde, C.3    Ghattas, O.4
  • 68
    • 0001440358 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • Williamson, D. L., J. B. Drake, J. J. Hack, R. Jakob, and P. N. Swarztrauber, 1992: A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys., 102, 211-224.
    • (1992) J. Comput. Phys. , vol.102 , pp. 211-224
    • Williamson, D.L.1    Drake, J.B.2    Hack, J.J.3    Jakob, R.4    Swarztrauber, P.N.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.