메뉴 건너뛰기




Volumn 26, Issue 3, 2006, Pages 301-327

Metric identities and the discontinuous spectral element method on curvilinear meshes

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTION EVALUATION; MATRIX ALGEBRA;

EID: 33646416509     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-005-9070-8     Document Type: Article
Times cited : (229)

References (26)
  • 1
    • 0033481181 scopus 로고    scopus 로고
    • A conservative spectral element method for the approximation of compressible fluid flow
    • Black, K. (1999). A conservative spectral element method for the approximation of compressible fluid flow. KYBERNETIKA 35(1), 133-146.
    • (1999) KYBERNETIKA , vol.35 , Issue.1 , pp. 133-146
    • Black, K.1
  • 2
    • 0034190354 scopus 로고    scopus 로고
    • Spectral element approximation of convection-diffusion type problems
    • Black, K. (2000). Spectral element approximation of convection-diffusion type problems. Appl. Numer. Math. 33(1-4), 373-379.
    • (2000) Appl. Numer. Math. , vol.33 , Issue.1-4 , pp. 373-379
    • Black, K.1
  • 4
    • 0034190349 scopus 로고    scopus 로고
    • On the computation of high order pseudospectral derivatives
    • Costa, B., and Don, W. S. (2000). On the computation of high order pseudospectral derivatives, Appl. Numer. Math. 33, 151-159.
    • (2000) Appl. Numer. Math. , vol.33 , pp. 151-159
    • Costa, B.1    Don, W.S.2
  • 5
    • 1342331096 scopus 로고    scopus 로고
    • Application of the discontinuous spectral Galerkin method to groundwater flow
    • Fagherazzi, S., Furbish, D. J., Rasetarinera, P., and Hussaini, M. Y. (2004). Application of the discontinuous spectral Galerkin method to groundwater flow. Adv. Water Res. 27, 129-140.
    • (2004) Adv. Water Res. , vol.27 , pp. 129-140
    • Fagherazzi, S.1    Furbish, D.J.2    Rasetarinera, P.3    Hussaini, M.Y.4
  • 6
    • 2942520950 scopus 로고    scopus 로고
    • Numerical solution of the dam-break problem with a discontinuous Galerkin method
    • Fagherazzi, S., Rasetarinera, P., Hussaini, M. Y., and Furbish, D. J. (2004). Numerical solution of the dam-break problem with a discontinuous Galerkin method. J. Hydraulic Eng. 130(6), 532-539.
    • (2004) J. Hydraulic Eng. , vol.130 , Issue.6 , pp. 532-539
    • Fagherazzi, S.1    Rasetarinera, P.2    Hussaini, M.Y.3    Furbish, D.J.4
  • 7
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • Giraldo, F. X., Hesthaven, J. S., and Warburton, T. (2002). Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. J. Comput. Phys. 181(2), 499-525.
    • (2002) J. Comput. Phys. , vol.181 , Issue.2 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 8
    • 84985315986 scopus 로고
    • Construction of curvilinear co-ordinate systems and their applications to mesh generation
    • Gordon, W J., and Hall. C. A. (1973). Construction of curvilinear co-ordinate systems and their applications to mesh generation. Int. J. Numer. Meth. Eng. 7, 461-477.
    • (1973) Int. J. Numer. Meth. Eng. , vol.7 , pp. 461-477
    • Gordon, W.J.1    Hall, C.A.2
  • 10
    • 0141794017 scopus 로고    scopus 로고
    • De-aliasing on non-uniform grids: Algorithms and applications
    • Kirby, R. M., and Karniadakis, G. E. (2003). De-aliasing on non-uniform grids: algorithms and applications. J. Comput. Phys. 191, 249-264.
    • (2003) J. Comput. Phys. , vol.191 , pp. 249-264
    • Kirby, R.M.1    Karniadakis, G.E.2
  • 11
    • 0030587999 scopus 로고    scopus 로고
    • A conservative staggered-grid Chebyshev multidomain method for compressible flows. 2. a semi-structured method multidomain method for compressible flows. II. A semi-structured method
    • Kopriva, D. A. (1996). A conservative staggered-grid Chebyshev multidomain method for compressible flows. 2. a semi-structured method multidomain method for compressible flows. II. A semi-structured method. J. Comput. Phys. 128(2). 475-488.
    • (1996) J. Comput. Phys. , vol.128 , Issue.2 , pp. 475-488
    • Kopriva, D.A.1
  • 12
    • 0030118562 scopus 로고    scopus 로고
    • A conservative staggered-grid Chebyshev multidomain method for compressible flows
    • Kopriva, D. A., and Kolias, J. H. (1996). A conservative staggered-grid Chebyshev multidomain method for compressible flows. J. Comput. Phys. 125(1), 244-261.
    • (1996) J. Comput. Phys. , vol.125 , Issue.1 , pp. 244-261
    • Kopriva, D.A.1    Kolias, J.H.2
  • 14
    • 0037049933 scopus 로고    scopus 로고
    • Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method
    • Kopriva, D. A., Woodruff, S. L., and Hussaini, M. Y. (2002). Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method. Int. J. Numer. Meth. Eng. 53.
    • (2002) Int. J. Numer. Meth. Eng. , vol.53
    • Kopriva, D.A.1    Woodruff, S.L.2    Hussaini, M.Y.3
  • 15
    • 0035506375 scopus 로고    scopus 로고
    • Discontinuous spectral element solution of acoustic radiation from thin airfoils
    • Rasetarinera, P., Kopriva, D. A., and Hussaini, M. Y. (2001). Discontinuous spectral element solution of acoustic radiation from thin airfoils. AIAA J. 39(11), 2070-2075.
    • (2001) AIAA J. , vol.39 , Issue.11 , pp. 2070-2075
    • Rasetarinera, P.1    Kopriva, D.A.2    Hussaini, M.Y.3
  • 16
    • 0038284144 scopus 로고    scopus 로고
    • Aircraft engine noise scattering by fuselage and wings: A computational approach
    • Stanescu, D., Hussaini, M. Y., and Farassat, F (2003). Aircraft engine noise scattering by fuselage and wings: a computational approach. J. Sound Vibration 263(2), 319-333.
    • (2003) J. Sound Vibration , vol.263 , Issue.2 , pp. 319-333
    • Stanescu, D.1    Hussaini, M.Y.2    Farassat, F.3
  • 17
    • 0029380030 scopus 로고
    • Computational aeroacoustics: Issues and methods
    • Tam, C. K. W. (1995). Computational aeroacoustics: issues and methods. AIAA J. 33, 1785.
    • (1995) AIAA J. , vol.33 , pp. 1785
    • Tam, C.K.W.1
  • 18
    • 0018529022 scopus 로고
    • Geometric conservation law and its application to flow computations on moving grids
    • Thomas, P. D., and Lombard, C. K. (1979). Geometric conservation law and its application to flow computations on moving grids. AIAA J. 17(10), 1030-1037.
    • (1979) AIAA J. , vol.17 , Issue.10 , pp. 1030-1037
    • Thomas, P.D.1    Lombard, C.K.2
  • 19
    • 0025403679 scopus 로고
    • Navier Stokes simulation of three-dimensional hypersonic equilibrium flows with ablation
    • Thomas, P. D., and Neier K. L. (1990). Navier Stokes simulation of three-dimensional hypersonic equilibrium flows with ablation. J. Spacecr. Rockets 27(2), 143-149.
    • (1990) J. Spacecr. Rockets , vol.27 , Issue.2 , pp. 143-149
    • Thomas, P.D.1    Neier, K.L.2
  • 20
    • 49049136186 scopus 로고
    • Boundary-fitted coordinate systems for numerical solution of partial-differential equations-a review
    • Thompson, J. F., Warsi, Z. U. A., and Mastin, C. W. (1982). Boundary-fitted coordinate systems for numerical solution of partial-differential equations-a review. J. Comput. Phys. 47(1), 1-108.
    • (1982) J. Comput. Phys. , vol.47 , Issue.1 , pp. 1-108
    • Thompson, J.F.1    Warsi, Z.U.A.2    Mastin, C.W.3
  • 22
    • 0001507252 scopus 로고
    • Conservation equations of gas-dynamics in curvilinear coordinate systems
    • Vinokur, M. (1974). Conservation equations of gas-dynamics in curvilinear coordinate systems. J. Comput. Phys. 14, 105-125.
    • (1974) J. Comput. Phys. , vol.14 , pp. 105-125
    • Vinokur, M.1
  • 23
    • 0002115991 scopus 로고
    • An analysis of finite-difference and finite-volume formulations of conservation laws
    • Vinokur, M. (1989). An analysis of finite-difference and finite-volume formulations of conservation laws. J. Comput. Phys. 81, 1-52.
    • (1989) J. Comput. Phys. , vol.81 , pp. 1-52
    • Vinokur, M.1
  • 24
    • 84873639463 scopus 로고    scopus 로고
    • Extension of efficient low dissipation high order schemes for 3-d curvilinear moving grids
    • Caughey, D. A., and Hafez, M. M. (eds.). World Scientific, Singapore
    • Vinokur, M., and Yee, H. C. (2001). Extension of efficient low dissipation high order schemes for 3-d curvilinear moving grids. In Caughey, D. A., and Hafez, M. M. (eds.), Frontiers of Computational Fluid Dynamics 2002. World Scientific, Singapore, pp. 129-164.
    • (2001) Frontiers of Computational Fluid Dynamics 2002 , pp. 129-164
    • Vinokur, M.1    Yee, H.C.2
  • 25
    • 0032595422 scopus 로고    scopus 로고
    • High-order accurate methods for complex unsteady subsonic flows
    • Visbal, M. R., and Gaitonde, D. V. (1999). High-order accurate methods for complex unsteady subsonic flows. AIAA J. 37(10). 1231-1239.
    • (1999) AIAA J. , vol.37 , Issue.10 , pp. 1231-1239
    • Visbal, M.R.1    Gaitonde, D.V.2
  • 26
    • 0036743716 scopus 로고    scopus 로고
    • On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
    • Visbal, M. R., and Gaitonde, D. V. (2002). On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. J. Comput. Phys. 181, 155-185.
    • (2002) J. Comput. Phys. , vol.181 , pp. 155-185
    • Visbal, M.R.1    Gaitonde, D.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.