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Volumn 20, Issue 1, 1998, Pages 62-93

A stable penalty method for the compressible navier-stokes equations: III. Multidimensional domain decomposition schemes

Author keywords

Domain decomposition; Navier Stokes equations; Spectral methods; Stable penalty methods

Indexed keywords

MULTIDIMENSIONAL DOMAIN DECOMPOSITION METHODS; STABLE PENALTY METHODS;

EID: 0032131341     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827596299470     Document Type: Article
Times cited : (85)

References (28)
  • 1
    • 0001241567 scopus 로고    scopus 로고
    • A stable penalty method for the compressible Navier-Stokes equations. I. Open boundary conditions
    • J. S. HESTHAVEN AND D. GOTTLIEB, A stable penalty method for the compressible Navier-Stokes equations. I. Open boundary conditions, SIAM J. Sci. Comput., 17 (1996), pp. 579-612.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 579-612
    • Hesthaven, J.S.1    Gottlieb, D.2
  • 2
    • 0031129195 scopus 로고    scopus 로고
    • A stable penalty method for the compressible Navier-Stokes equations. II. One dimensional domain decomposition schemes
    • J. S. HESTHAVEN, A stable penalty method for the compressible Navier-Stokes equations. II. One dimensional domain decomposition schemes, SIAM J. Sci. Comput., 18 (1997), pp. 658-685.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 658-685
    • Hesthaven, J.S.1
  • 3
    • 0001411835 scopus 로고
    • Multidomain spectral solution of the Euler gas-dynamics equations
    • D. KOPRIVA, Multidomain spectral solution of the Euler gas-dynamics equations, J. Comput. Phys., 96 (1991), pp. 428-450.
    • (1991) J. Comput. Phys. , vol.96 , pp. 428-450
    • Kopriva, D.1
  • 4
    • 0030118562 scopus 로고    scopus 로고
    • A conservative staggered-grid Chebyshev multidomain method for compressible flows
    • D. KOPRIVA AND J. H. KOLIAS, A conservative staggered-grid Chebyshev multidomain method for compressible flows. J. Comput. Phys., 125 (1996), pp. 244-261.
    • (1996) J. Comput. Phys. , vol.125 , pp. 244-261
    • Kopriva, D.1    Kolias, J.H.2
  • 5
    • 0000225837 scopus 로고
    • Domain decomposition methods for systems of conservation laws
    • A. QUARTERONI, Domain decomposition methods for systems of conservation laws, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 1029-1052.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 1029-1052
    • Quarteroni, A.1
  • 6
    • 0028450358 scopus 로고
    • Spectral element-FCT method for the one- and two-dimensional compressible Euler equations
    • J. G. GIANNAKOUROS, D. SIDILKOVER AND G. E. KARNIADAKIS, Spectral element-FCT method for the one- and two-dimensional compressible Euler equations, Comput. Methods Appl. Mech. Engrg., 116 (1994), pp. 113-121.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 113-121
    • Giannakouros, J.G.1    Sidilkover, D.2    Karniadakis, G.E.3
  • 7
    • 6044275301 scopus 로고
    • A multi-domain spectral method for viscous compressible flows
    • D. KOPRIVA, A multi-domain spectral method for viscous compressible flows, AIAA J., 31 (1993), pp. 3376-3384.
    • (1993) AIAA J. , vol.31 , pp. 3376-3384
    • Kopriva, D.1
  • 8
    • 0011456340 scopus 로고
    • A strategy for the efficient simulation of viscous compressible flows using a multidomain pseudospectral method
    • P. HANLEY, A strategy for the efficient simulation of viscous compressible flows using a multidomain pseudospectral method, J. Comput. Phys., 108 (1993), pp. 153-158.
    • (1993) J. Comput. Phys. , vol.108 , pp. 153-158
    • Hanley, P.1
  • 9
    • 0001257477 scopus 로고
    • Multidomain spectral solution of compressible viscous flows, 3
    • D. KOPRIVA, Multidomain spectral solution of compressible viscous flows, 3. Comput. Phys., 115 (1994), pp. 184-199.
    • (1994) Comput. Phys. , vol.115 , pp. 184-199
    • Kopriva, D.1
  • 10
    • 0003649821 scopus 로고    scopus 로고
    • Spectral/hp Methods for Viscous Compressible Flows on Unstructured 2D Meshes
    • Brown University, Providence, RI
    • I. LOMTEV, C. B. QUILLEN, AND G. KARNIADAKIS, Spectral/hp Methods for Viscous Compressible Flows on Unstructured 2D Meshes, Center for Fluid Mechanics Report # 96-12, Brown University, Providence, RI, 1996.
    • (1996) Center for Fluid Mechanics Report , vol.96 , Issue.12
    • Lomtev, I.1    Quillen, C.B.2    Karniadakis, G.3
  • 11
    • 84968494170 scopus 로고
    • A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations
    • D. FUNARO AND D. GOTTLIEB, A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations, Math. Comp., 51 (1988), pp. 599-613.
    • (1988) Math. Comp. , vol.51 , pp. 599-613
    • Funaro, D.1    Gottlieb, D.2
  • 12
    • 84966255383 scopus 로고
    • Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment
    • D. FUNARO AND D. GOTTLIEB, Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment, Math. Comp., 57 (1991), pp. 585-596.
    • (1991) Math. Comp. , vol.57 , pp. 585-596
    • Funaro, D.1    Gottlieb, D.2
  • 14
    • 0000686693 scopus 로고
    • Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
    • W. J. GORDON AND C. A. HALL, Transfinite element methods: Blending-function interpolation over arbitrary curved element domains, Numer. Math., 21 (1973), pp. 109-129.
    • (1973) Numer. Math. , vol.21 , pp. 109-129
    • Gordon, W.J.1    Hall, C.A.2
  • 15
    • 84985315986 scopus 로고
    • Construction of curvilinear co-ordinate systems and applications to mesh generation
    • W. J. GORDON AND C. A. HALL, Construction of curvilinear co-ordinate systems and applications to mesh generation, Internat. J. Numer. Meth. Engrg., 7 (1973), pp. 461-477.
    • (1973) Internat. J. Numer. Meth. Engrg. , vol.7 , pp. 461-477
    • Gordon, W.J.1    Hall, C.A.2
  • 18
    • 0030366352 scopus 로고    scopus 로고
    • On the Chebyshev penalty method for parabolic and hyperbolic equations
    • 2AN), 30 (1996), pp. 907-920.
    • (1996) 2AN) , vol.30 , pp. 907-920
    • Dettori, L.1    Yang, B.2
  • 19
    • 0028750042 scopus 로고
    • The Chebyshev-Legendre Method: Implementing Legendre Methods on Chebyshev Grids
    • W. S. DON AND D. GOTTLIEB, The Chebyshev-Legendre Method: Implementing Legendre Methods on Chebyshev Grids, SIAM J. Numer. Anal., 31 (1994), pp. 1519-1534.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1519-1534
    • Don, W.S.1    Gottlieb, D.2
  • 21
    • 0003542747 scopus 로고
    • Initial-Boundary Value Problems and the Navier-Stokes Equations
    • Academic Press, San Diego, CA
    • H. O. KREISS AND J. LORENZ, Initial-Boundary Value Problems and the Navier-Stokes Equations, Series in Pure and Applied Mathematics, Academic Press, San Diego, CA, 1989.
    • (1989) Series in Pure and Applied Mathematics
    • Kreiss, H.O.1    Lorenz, J.2
  • 22
    • 84966204226 scopus 로고
    • Diagonalization and simultaneous symmetrization of the gas-dynamics matrices
    • R. F. WARMING, R. M. BEAM, AND B. J. HYETT, Diagonalization and simultaneous symmetrization of the gas-dynamics matrices, Math. Comp., 29 (1975), pp. 1037-1045.
    • (1975) Math. Comp. , vol.29 , pp. 1037-1045
    • Warming, R.F.1    Beam, R.M.2    Hyett, B.J.3
  • 24
    • 84980151705 scopus 로고
    • Initial boundary value problems for incompletely parabolic systems
    • J. C. STRIKWERDA, Initial boundary value problems for incompletely parabolic systems, Comm. Pure Appl. Math., 30 (1977), pp. 797-822.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 797-822
    • Strikwerda, J.C.1
  • 25
    • 0003084153 scopus 로고
    • Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
    • S. ABARBANEL AND D. GOTTLIEB, Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives, J. Comput. Phys., 41 (1981), pp. 1-33.
    • (1981) J. Comput. Phys. , vol.41 , pp. 1-33
    • Abarbanel, S.1    Gottlieb, D.2
  • 26
    • 0026223381 scopus 로고
    • A spectral collocation for compressible, non-similar boundary layers
    • C. D. PRUETT AND C. L. STREETT, A spectral collocation for compressible, non-similar boundary layers, Internat. J. Numer. Methods Fluids, 13 (1991), pp. 713-737.
    • (1991) Internat. J. Numer. Methods Fluids , vol.13 , pp. 713-737
    • Pruett, C.D.1    Streett, C.L.2
  • 27
    • 0031084337 scopus 로고    scopus 로고
    • On the optimal number of subdomains for hyperbolic problems on parallel computers
    • P. FISCHER AND D. GOTTLIEB, On the optimal number of subdomains for hyperbolic problems on parallel computers, J. Supercomput. Appl., 11 (1997), pp. 65-76.
    • (1997) J. Supercomput. Appl. , vol.11 , pp. 65-76
    • Fischer, P.1    Gottlieb, D.2
  • 28
    • 0002229737 scopus 로고
    • On the symmetric form of systems of conservation laws with entropy
    • A. HARTEN, On the symmetric form of systems of conservation laws with entropy, J. Comput. Phys., 49 (1983), pp. 151-164.
    • (1983) J. Comput. Phys. , vol.49 , pp. 151-164
    • Harten, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.