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Volumn , Issue , 2005, Pages

The spectral difference method for the 2D Euler equations on unstructured grids

Author keywords

[No Author keywords available]

Indexed keywords

2D EULER EQUATIONS; DISCONTINUOUS GALERKIN; GEOMETRIC FLEXIBILITY; SPECTRAL DIFFERENCE METHODS; SPECTRAL VOLUME METHOD; SYSTEMS OF CONSERVATION LAWS; UNSTRUCTURED GRID; UNSTRUCTURED GRID METHODS;

EID: 84884972203     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (28)

References (25)
  • 1
    • 34250729485 scopus 로고    scopus 로고
    • Discontinuous Spectral Difference Method for Conservation Laws on Unstructured Grids
    • in Toronto, Canada July
    • Y. Liu, M. Vinokur, Z.J. Wang, "Discontinuous Spectral Difference Method for Conservation Laws on Unstructured Grids, " in Proceedings of the 3rd International Conference in CFD, Toronto, Canada July 2004.
    • (2004) Proceedings of the 3rd International Conference in CFD
    • Liu, Y.1    Vinokur, M.2    Wang, Z.J.3
  • 3
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • B. Cockburn and C.-W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework, Mathematics of Computation 52, 411-435 (1989).
    • (1989) Mathematics of Computation , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 4
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Garlerkin method for conservation laws V: Multidimensional systems
    • Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Garlerkin method for conservation laws V: multidimensional systems, J. Comput. Phys., 141, 199-224, (1998).
    • (1998) J. Comput. Phys. , vol.141 , pp. 199-224
    • Cockburn1    Shu, C.-W.2
  • 5
    • 0031537299 scopus 로고    scopus 로고
    • High-order accurate discontinuous finite element solution of the 2D Euler equations
    • F. Bassi and S. Rebay, High-order accurate discontinuous finite element solution of the 2D Euler equations, J. Comput. Phys. 138, 251-285 (1997).
    • (1997) J. Comput. Phys. , vol.138 , pp. 251-285
    • Bassi, F.1    Rebay, S.2
  • 6
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids: I. Basic formulation
    • Z.J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids: I. Basic formulation, J. Comput. Phys. 178, 210 (2002).
    • (2002) J. Comput. Phys. , vol.178 , pp. 210
    • Wang, Z.J.1
  • 7
    • 0036647456 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids II: Extension to twodimensional scalar equation
    • Z.J. Wang and Y. Liu, Spectral (finite) volume method for conservation laws on unstructured grids II: extension to twodimensional scalar equation, J. Comput. Phys. 179, 665-697 (2002).
    • (2002) J. Comput. Phys. , vol.179 , pp. 665-697
    • Wang, Z.J.1    Liu, Y.2
  • 8
    • 0347300259 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids III: One-dimensional systems and partition optimization
    • Z.J. Wang and Y. Liu, Spectral (finite) volume method for conservation laws on unstructured grids III: one-dimensional systems and partition optimization, J. Scientific Comput. 20, 137-157 (2004).
    • (2004) J. Scientific Comput. , vol.20 , pp. 137-157
    • Wang, Z.J.1    Liu, Y.2
  • 9
    • 1442307691 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids IV: Extension to two-dimensional systems
    • Z.J. Wang, L. Zhang, and Y. Liu and, Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems, J. Comput. Phys. 194, 716-741 (2004).
    • (2004) J. Comput. Phys. , vol.194 , pp. 716-741
    • Wang, Z.J.1    Zhang, L.2    Liu, Y.3
  • 10
    • 84884940408 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
    • submitted to
    • Y. Liu, M. Vinokur, and Z.J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids V: extension to three-dimensional systems, submitted to J. Comput. Phys. 2005.
    • (2005) J. Comput. Phys.
    • Liu, Y.1    Vinokur, M.2    Wang, Z.J.3
  • 11
    • 0001328401 scopus 로고
    • Calculation of interaction of non-steady shock waves with obstacles
    • V.V. Rusanov, Calculation of interaction of non-steady shock waves with obstacles, J. Comput. Math. Phys. USSR 1, 267-279 (1961).
    • (1961) J. Comput. Math. Phys. USSR , vol.1 , pp. 267-279
    • Rusanov, V.V.1
  • 12
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • P.L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes, J. Comput. Phys. 43 357-372 (1981).
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 13
    • 0038115255 scopus 로고    scopus 로고
    • An upwind finite difference scheme for meshless solvers
    • D. Sridar and N. Balakrishnan, An upwind finite difference scheme for meshless solvers, J. Comput. Phys. 189 1-29 (2003).
    • (2003) J. Comput. Phys. , vol.189 , pp. 1-29
    • Sridar, D.1    Balakrishnan, N.2
  • 17
    • 0030587999 scopus 로고    scopus 로고
    • A conservative staggered-grid Chebyshev multidomain method for compressible flows. II semi-structured method
    • D.A. Kopriva, A conservative staggered-grid Chebyshev multidomain method for compressible flows. II semi-structured method, J. Comput. Phys. 128, 475 (1996).
    • (1996) J. Comput. Phys. , vol.128 , pp. 475
    • Kopriva, D.A.1
  • 18
    • 0000141828 scopus 로고    scopus 로고
    • A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
    • D.A. Kopriva, A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations, J. Comput. Phys., 143, No. 1, 125 (1998).
    • (1998) J. Comput. Phys. , vol.143 , Issue.1 , pp. 125
    • Kopriva, D.A.1
  • 19
    • 0000935266 scopus 로고
    • A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
    • S.K. Godunov, A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics, Mat. Sb. 47, 271 (1959).
    • (1959) Mat. Sb. , vol.47 , pp. 271
    • Godunov, S.K.1
  • 20
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V. a second order sequel to Godunov's method
    • B. van Leer, Towards the ultimate conservative difference scheme V. a second order sequel to Godunov's method, J. Comput. Phys. 32, 101-136 (1979).
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1
  • 21
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • C.-W. Shu, Total-variation-diminishing time discretizations, SIAM J. Sci. Stat. Comput. 9, 1073 (1988).
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 1073
    • Shu, C.-W.1
  • 22
    • 0001118530 scopus 로고    scopus 로고
    • A new class of optimal high-order strong-stability-preserving time discretization methods
    • R. J. Spiteri and S. J. Ruuth, A new class of optimal high-order strong-stability-preserving time discretization methods, SIAM J. Numer. Anal., 40 (2002), pp. 469-491.
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 469-491
    • Spiteri, R.J.1    Ruuth, S.J.2
  • 23
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • in B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, Springer
    • C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, volume 1697, Springer, 1998, pp.325-432.
    • (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , vol.1697 , pp. 325-432
    • Shu, C.-W.1
  • 24
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys., 54, 115-173 (1984).
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 25
    • 0034235708 scopus 로고    scopus 로고
    • A fast nested multi-grid viscous flow solver for adaptive Cartesian/quad grids
    • Z.J. Wang, A fast nested multi-grid viscous flow solver for adaptive Cartesian/quad grids, International Journal for Numerical Methods in Fluids, 33, 657-680 (2000).
    • (2000) International Journal for Numerical Methods in Fluids , vol.33 , pp. 657-680
    • Wang, Z.J.1


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