메뉴 건너뛰기




Volumn 228, Issue 18, 2009, Pages 6882-6915

A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry

Author keywords

Cell centered scheme; Compressible flow; Cylindrical geometry; Generalized Riemann problem; High order finite volume methods; Lagrangian hydrodynamics; Symmetry preservation

Indexed keywords

CELLS; COMPRESSIBLE FLOW; CYLINDERS (SHAPES); CYTOLOGY; GAS DYNAMICS; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; SPHERES;

EID: 67849128524     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.06.018     Document Type: Article
Times cited : (108)

References (36)
  • 1
    • 85190226584 scopus 로고    scopus 로고
    • F.L. Adessio, D.E. Carroll, K.K. Dukowicz, J.N. Johnson, B.A. Kashiwa, M.E. Maltrud, H.M. Ruppel, Caveat: a computer code for fluid dynamics problems with large distortion and internal slip, Technical Report LA-10613-MS, Los Alamos National Laboratory, 1986.
    • F.L. Adessio, D.E. Carroll, K.K. Dukowicz, J.N. Johnson, B.A. Kashiwa, M.E. Maltrud, H.M. Ruppel, Caveat: a computer code for fluid dynamics problems with large distortion and internal slip, Technical Report LA-10613-MS, Los Alamos National Laboratory, 1986.
  • 2
    • 20344379763 scopus 로고    scopus 로고
    • Numerical methods for conservation laws on structured and unstructured meshes
    • Technical Report, VKI Lecture Series, 2003
    • T.J. Barth, Numerical methods for conservation laws on structured and unstructured meshes, Technical Report, VKI Lecture Series, 2003.
    • Barth, T.J.1
  • 3
    • 85190184115 scopus 로고    scopus 로고
    • T.J. Barth, D.C. Jespersen, The design and application of upwind schemes on unstructured meshes, in: AIAA Paper 89-0366, 27th Aerospace Sciences Meeting, Reno, Nevada, 1989.
    • T.J. Barth, D.C. Jespersen, The design and application of upwind schemes on unstructured meshes, in: AIAA Paper 89-0366, 27th Aerospace Sciences Meeting, Reno, Nevada, 1989.
  • 4
    • 48349083249 scopus 로고
    • A second-order Godunov-type scheme for compressible fluid dynamics
    • Ben-Artzi M., and Falcovitz J. A second-order Godunov-type scheme for compressible fluid dynamics. J. Comput. Phys. 55 1 (1984) 1-32
    • (1984) J. Comput. Phys. , vol.55 , Issue.1 , pp. 1-32
    • Ben-Artzi, M.1    Falcovitz, J.2
  • 5
    • 0000622551 scopus 로고
    • An upwind second-order scheme for compressible duct flows
    • Ben-Artzi M., and Falcovitz J. An upwind second-order scheme for compressible duct flows. SIAM J. Sci. Stat. Comput. 7 3 (1986) 744-768
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , Issue.3 , pp. 744-768
    • Ben-Artzi, M.1    Falcovitz, J.2
  • 7
    • 85190211056 scopus 로고    scopus 로고
    • D.E. Burton, M. Shashkov, Exploration of some unconventional approaches to Lagrangian hydrodynamics, Technical Report LA-UR-07-7548, Los Alamos National Laboratory, 2007.
    • D.E. Burton, M. Shashkov, Exploration of some unconventional approaches to Lagrangian hydrodynamics, Technical Report LA-UR-07-7548, Los Alamos National Laboratory, 2007.
  • 8
    • 0035922232 scopus 로고    scopus 로고
    • A tensor artificial viscosity using a mimetic finite difference algorithm
    • Campbell J.C., and Shashkov M.J. A tensor artificial viscosity using a mimetic finite difference algorithm. J. Comput. Phys. 172 4 (2001) 739-765
    • (2001) J. Comput. Phys. , vol.172 , Issue.4 , pp. 739-765
    • Campbell, J.C.1    Shashkov, M.J.2
  • 9
    • 20344404042 scopus 로고    scopus 로고
    • A compatible Lagrangian hydrodynamics algorithm for unstructured grids
    • Campbell J.C., and Shashkov M.J. A compatible Lagrangian hydrodynamics algorithm for unstructured grids. Selçuk J. Appl. Math. 4 2 (2003) 53-70
    • (2003) Selçuk J. Appl. Math. , vol.4 , Issue.2 , pp. 53-70
    • Campbell, J.C.1    Shashkov, M.J.2
  • 10
    • 0001840838 scopus 로고    scopus 로고
    • Formulations of artificial viscosity for multidimensional shock wave computations
    • Caramana E.J., Shashkov M.J., and Whalen P.P. Formulations of artificial viscosity for multidimensional shock wave computations. J. Comput. Phys. 144 (1998) 70-97
    • (1998) J. Comput. Phys. , vol.144 , pp. 70-97
    • Caramana, E.J.1    Shashkov, M.J.2    Whalen, P.P.3
  • 11
    • 0000142136 scopus 로고    scopus 로고
    • The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
    • Caramana E.J., Burton D.E., Shashkov M.J., and Whalen P.P. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. J. Comput. Phys. 146 (1998) 227-262
    • (1998) J. Comput. Phys. , vol.146 , pp. 227-262
    • Caramana, E.J.1    Burton, D.E.2    Shashkov, M.J.3    Whalen, P.P.4
  • 12
    • 0000890297 scopus 로고    scopus 로고
    • Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures
    • Caramana E.J., and Shashkov M.J. Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures. J. Comput. Phys. 142 (1998) 521-561
    • (1998) J. Comput. Phys. , vol.142 , pp. 521-561
    • Caramana, E.J.1    Shashkov, M.J.2
  • 13
    • 0001665671 scopus 로고    scopus 로고
    • Numerical preservation of symmetry properties of continuum problems
    • Caramana E.J., and P Whalen P. Numerical preservation of symmetry properties of continuum problems. J. Comput. Phys. 141 (1998) 174-198
    • (1998) J. Comput. Phys. , vol.141 , pp. 174-198
    • Caramana, E.J.1    P Whalen, P.2
  • 15
    • 27844470132 scopus 로고    scopus 로고
    • Lagrangian gas dynamics in two dimensions and Lagrangian systems
    • DesprTs B., and Mazeran C. Lagrangian gas dynamics in two dimensions and Lagrangian systems. Arch. Rational Mech. Anal. 178 (2005) 327-372
    • (2005) Arch. Rational Mech. Anal. , vol.178 , pp. 327-372
    • DesprTs, B.1    Mazeran, C.2
  • 16
    • 0000528142 scopus 로고
    • A general non-iterative Riemann solver for Godunov's method
    • Dukowicz J.K. A general non-iterative Riemann solver for Godunov's method. J. Comput. Phys. 61 (1984) 119-137
    • (1984) J. Comput. Phys. , vol.61 , pp. 119-137
    • Dukowicz, J.K.1
  • 17
    • 0002459813 scopus 로고
    • Vorticity errors in multidimensional Lagrangian codes
    • Dukowicz J.K., and Meltz B. Vorticity errors in multidimensional Lagrangian codes. J. Comput. Phys. 99 (1992) 115-134
    • (1992) J. Comput. Phys. , vol.99 , pp. 115-134
    • Dukowicz, J.K.1    Meltz, B.2
  • 19
    • 85190227561 scopus 로고    scopus 로고
    • J.R. Kamm, F.X. Timmes, On efficient generation of numerically robust Sedov solutions, Technical Report LA-UR-07-2849, Los Alamos National Laboratory, 2007.
    • J.R. Kamm, F.X. Timmes, On efficient generation of numerically robust Sedov solutions, Technical Report LA-UR-07-2849, Los Alamos National Laboratory, 2007.
  • 20
    • 0016924165 scopus 로고
    • Laser-driven compression of hollow shells: power requirements and stability limitations
    • Kidder R.E. Laser-driven compression of hollow shells: power requirements and stability limitations. Nucl. Fusion 1 (1976) 3-14
    • (1976) Nucl. Fusion , vol.1 , pp. 3-14
    • Kidder, R.E.1
  • 21
    • 33847026042 scopus 로고    scopus 로고
    • Remark on the generalized Riemann problem method for compressible fluid flows
    • Li J., and Sun Z. Remark on the generalized Riemann problem method for compressible fluid flows. J. Comput. Phys. 222 (2007) 796-808
    • (2007) J. Comput. Phys. , vol.222 , pp. 796-808
    • Li, J.1    Sun, Z.2
  • 22
    • 20344373884 scopus 로고    scopus 로고
    • A subcell remapping method on staggered polygonal grids for Arbitrary-Lagrangian-Eulerian methods
    • Loubère R., and Shashkov M.J. A subcell remapping method on staggered polygonal grids for Arbitrary-Lagrangian-Eulerian methods. J. Comput. Phys. 209 (2005) 105-138
    • (2005) J. Comput. Phys. , vol.209 , pp. 105-138
    • Loubère, R.1    Shashkov, M.J.2
  • 23
    • 60149098489 scopus 로고    scopus 로고
    • A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
    • Maire P.-H. A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes. J. Comput. Phys. 228 (2009) 2391-2425
    • (2009) J. Comput. Phys. , vol.228 , pp. 2391-2425
    • Maire, P.-H.1
  • 24
    • 36148960862 scopus 로고    scopus 로고
    • A cell-centered Lagrangian scheme for compressible flow problems
    • Maire P.-H., Abgrall R., Breil J., and Ovadia J. A cell-centered Lagrangian scheme for compressible flow problems. SIAM J. Sci. Comput. 29 4 (2007) 1781-1824
    • (2007) SIAM J. Sci. Comput. , vol.29 , Issue.4 , pp. 1781-1824
    • Maire, P.-H.1    Abgrall, R.2    Breil, J.3    Ovadia, J.4
  • 25
    • 57649108379 scopus 로고    scopus 로고
    • Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
    • Maire P.-H., and Nkonga B. Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics. J. Comput. Phys. 228 (2009) 799-821
    • (2009) J. Comput. Phys. , vol.228 , pp. 799-821
    • Maire, P.-H.1    Nkonga, B.2
  • 27
    • 0001121738 scopus 로고    scopus 로고
    • Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics
    • Margolin L.G., and Shashkov M.J. Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics. J. Comput. Phys. 149 (1999) 389-417
    • (1999) J. Comput. Phys. , vol.149 , pp. 389-417
    • Margolin, L.G.1    Shashkov, M.J.2
  • 30
    • 45949117604 scopus 로고
    • Errors for calculations of strong shocks using artificial viscosity and an artificial heat flux
    • Noh W.F. Errors for calculations of strong shocks using artificial viscosity and an artificial heat flux. J. Comput. Phys. 72 (1987) 78-120
    • (1987) J. Comput. Phys. , vol.72 , pp. 78-120
    • Noh, W.F.1
  • 31
    • 48349087844 scopus 로고    scopus 로고
    • A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry
    • Shen Z.J., Yuan G.W., Yue J.Y., and Liu X.Z. A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Sci. China Ser. A: Math. 51 8 (2008) 1479-1494
    • (2008) Sci. China Ser. A: Math. , vol.51 , Issue.8 , pp. 1479-1494
    • Shen, Z.J.1    Yuan, G.W.2    Yue, J.Y.3    Liu, X.Z.4
  • 32
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws
    • Sod G.A. A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws. J. Comput. Phys. 27 (1978) 1-31
    • (1978) J. Comput. Phys. , vol.27 , pp. 1-31
    • Sod, G.A.1
  • 33
    • 0041193703 scopus 로고
    • Difference scheme for the Dirichlet particle method in cylindrical coordinates, conserving symmetry of gas-dynamical flow
    • Solov'ev A.V., and Shashkov M.Yu. Difference scheme for the Dirichlet particle method in cylindrical coordinates, conserving symmetry of gas-dynamical flow. Diff. Equat. 24 7 (1988) 817-823
    • (1988) Diff. Equat. , vol.24 , Issue.7 , pp. 817-823
    • Solov'ev, A.V.1    Shashkov, M.Yu.2
  • 34
    • 36849141514 scopus 로고
    • A method for the numerical calculations of hydrodynamical shocks
    • von Neumann J., and Richtmyer R.D. A method for the numerical calculations of hydrodynamical shocks. J. Appl. Phys. 21 (1950) 232-238
    • (1950) J. Appl. Phys. , vol.21 , pp. 232-238
    • von Neumann, J.1    Richtmyer, R.D.2
  • 35
    • 0030094255 scopus 로고    scopus 로고
    • Algebraic limitations on two dimensional hydrodynamics simulations
    • Whalen P. Algebraic limitations on two dimensional hydrodynamics simulations. J. Comput. Phys. 124 (1996) 46-54
    • (1996) J. Comput. Phys. , vol.124 , pp. 46-54
    • Whalen, P.1
  • 36
    • 0000187771 scopus 로고
    • Calculation of elastic plastic flow
    • Wilkins M.L. Calculation of elastic plastic flow. Methods Comput. Phys. 3 (1964)
    • (1964) Methods Comput. Phys. , vol.3
    • Wilkins, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.