메뉴 건너뛰기




Volumn 34, Issue 2, 2012, Pages

A simplified h-box method for embedded boundary grids

Author keywords

Cartesian grid cut cell method; Conservation laws; Finite volume

Indexed keywords

NUMERICAL METHODS; PHYSICAL PROPERTIES; RUNGE KUTTA METHODS;

EID: 84861354511     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/110829398     Document Type: Article
Times cited : (45)

References (33)
  • 3
    • 3042707695 scopus 로고    scopus 로고
    • H-box methods for the approximation of hyperbolic conservation laws on irregular grids
    • M.J. Berger, C. Helzel, and R.J. LeVeque, h-box methods for the approximation of hyperbolic conservation laws on irregular grids, SIAM J. Numer. Anal., 41 (2003), pp. 893-918.
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 893-918
    • Berger, M.J.1    Helzel, C.2    Leveque, R.J.3
  • 4
    • 0008352647 scopus 로고
    • Stable boundary conditions for Cartesian grid calculations
    • M.J. Berger and R.J. LeVeque, Stable boundary conditions for Cartesian grid calculations, Comput. Systems Engrg., 1 (1990), pp. 305-311.
    • (1990) Comput. Systems Engrg. , vol.1 , pp. 305-311
    • Berger, M.J.1    Leveque, R.J.2
  • 5
    • 56349111880 scopus 로고    scopus 로고
    • Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains
    • D.A. Calhoun, C. Helzel, and R.J. LeVeque, Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains, SIAM Rev., 50 (2008), pp. 723-752.
    • (2008) SIAM Rev. , vol.50 , pp. 723-752
    • Calhoun, D.A.1    Helzel, C.2    Leveque, R.J.3
  • 7
    • 0000544129 scopus 로고
    • An accuracy assessment of Cartesian-mesh approaches for the Euler equations
    • W. Coirier and K. Powell, An accuracy assessment of Cartesian-mesh approaches for the Euler equations, J. Comput. Phys., 117 (1995), pp. 121-131.
    • (1995) J. Comput. Phys. , vol.117 , pp. 121-131
    • Coirier, W.1    Powell, K.2
  • 8
    • 25444445567 scopus 로고    scopus 로고
    • A Cartesian grid embedded boundary method for hyperbolic conservation laws
    • DOI 10.1016/j.jcp.2005.05.026, PII S0021999105002780
    • P. Colella, D.T. Graves, B.J. Keen, and D. Modiano, A Cartesian grid embedded boundary method for hyperbolic conservation laws, J. Comput. Phys., 211 (2006), pp. 347-366. (Pubitemid 41363989)
    • (2006) Journal of Computational Physics , vol.211 , Issue.1 , pp. 347-366
    • Colella, P.1    Graves, D.T.2    Keen, B.J.3    Modiano, D.4
  • 9
    • 34548483877 scopus 로고    scopus 로고
    • Ghost-cell method for analysis of inviscid three-dimensional flows on Cartesian-grids
    • DOI 10.1016/j.compfluid.2007.03.013, PII S0045793007000394, Special Issue dedicated to Professor Michele Napolitano on the Occasion of his 60th Birthday
    • A. Dadone and B. Grossman, Ghost-cell method for analysis of inviscid three-dimensional flows on Cartesian-grids, Comput. & Fluids, 36 (2007), pp. 1513-1528. (Pubitemid 47377703)
    • (2007) Computers and Fluids , vol.36 , Issue.10 , pp. 1513-1528
    • Dadone, A.1    Grossman, B.2
  • 10
    • 0001779719 scopus 로고    scopus 로고
    • A Two-Dimensional Conservation Laws Scheme for Compressible Flows with Moving Boundaries
    • DOI 10.1006/jcph.1997.5808, PII S0021999197958083
    • J. Falcovitz, G. Alfandar, and G. Hanoch, A two-dimensional conservation law scheme for compressible flows with moving boundaries, J. Comput. Phys., 138 (1997), pp. 83-102. (Pubitemid 127341406)
    • (1997) Journal of Computational Physics , vol.138 , Issue.1 , pp. 83-102
    • Falcovitz, J.1    Alfandary, G.2    Hanoch, G.3
  • 11
    • 0000307275 scopus 로고    scopus 로고
    • A Higher-Order Boundary Treatment for Cartesian-Grid Methods
    • DOI 10.1006/jcph.1998.5891, PII S0021999198958910
    • H. Forrer and R. Jeltsch, A high-order boundary treatment for Cartesian-grid methods, J. Comput. Phys., 140 (1998), pp. 259-277. (Pubitemid 128346380)
    • (1998) Journal of Computational Physics , vol.140 , Issue.2 , pp. 259-277
    • Forrer, H.1    Jeltsch, R.2
  • 12
    • 0035273564 scopus 로고    scopus 로고
    • Strong stability-preserving high-order time discretization methods
    • DOI 10.1137/S003614450036757X, PII S003614450036757X
    • S. Gottlieb, C.-W. Shu, and E. Tadmor, Strong stability-preserving high-order time discretization methods, SIAM Rev., 43 (2001), pp. 89-112. (Pubitemid 32406893)
    • (2001) SIAM Review , vol.43 , Issue.1 , pp. 89-112
    • Gottlieb, S.1    Shu, C.-W.2    Tadmor, E.3
  • 13
    • 84968486120 scopus 로고
    • Stability theory of difference approximations for mixed initial boundary value problems
    • B. Gustafsson, H.-O. Kreiss, and A. Sundström, Stability theory of difference approximations for mixed initial boundary value problems, Math. Comp., 26 (1972), pp. 649-689.
    • (1972) Math. Comp. , vol.26 , pp. 649-689
    • Gustafsson, B.1    Kreiss, H.-O.2    Sundström, A.3
  • 14
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • A. Harten, High resolution schemes for hyperbolic conservation laws, J. Comput. Phys., 49 (1983), pp. 357-397.
    • (1983) J. Comput. Phys. , vol.49 , pp. 357-397
    • Harten, A.1
  • 15
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • A. Harten, P.D. Lax, and B. van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Rev., 25 (1983), pp. 35-61.
    • (1983) SIAM Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 16
    • 19644394765 scopus 로고    scopus 로고
    • A high-resolution rotated grid method for conservation laws with embedded geometries
    • DOI 10.1137/S106482750343028X
    • C. Helzel, M.J. Berger, and R.J. LeVeque, A high-resolution rotated grid method for conservation laws with embedded geometries, SIAM J. Sci. Comput., 26 (2005), pp. 785- 809. (Pubitemid 40738107)
    • (2005) SIAM Journal of Scientific Computing , vol.26 , Issue.3 , pp. 785-809
    • Helzel, C.1    Berger, M.J.2    Leveque, R.J.3
  • 17
    • 79955674273 scopus 로고    scopus 로고
    • Partially implicit peer methods for compressible Euler equations
    • S. Jebens, O. Knoth, and R. Weiner, Partially implicit peer methods for compressible Euler equations, J. Comput. Phys., 230 (2011), pp. 4955-4974.
    • (2011) J. Comput. Phys. , vol.230 , pp. 4955-4974
    • Jebens, S.1    Knoth, O.2    Weiner, R.3
  • 18
    • 16844385333 scopus 로고    scopus 로고
    • A second order kinetic scheme for gas dynamics on arbitrary grids
    • B. Keen and S. Karni, A second order kinetic scheme for gas dynamics on arbitrary grids, J. Comput. Phys., 205 (2005), pp. 108-130.
    • (2005) J. Comput. Phys. , vol.205 , pp. 108-130
    • Keen, B.1    Karni, S.2
  • 20
    • 69949109555 scopus 로고    scopus 로고
    • A Cartesian embedded boundary method for the compressible Navier-Stokes equations
    • M. Kupiainen and B. Sjögreen, A Cartesian embedded boundary method for the compressible Navier-Stokes equations, J. Sci. Comput., 41 (2009), pp. 94-117.
    • (2009) J. Sci. Comput. , vol.41 , pp. 94-117
    • Kupiainen, M.1    Sjögreen, B.2
  • 21
    • 0000308880 scopus 로고    scopus 로고
    • Wave propagation algorithms for multidimensional hyperbolic systems
    • R.J. LeVeque, Wave propagation algorithms for multidimensional hyperbolic systems, J. Comput. Phys., 131 (1997), pp. 327-353.
    • (1997) J. Comput. Phys. , vol.131 , pp. 327-353
    • Leveque, R.J.1
  • 23
    • 0000845465 scopus 로고
    • Use of a rotated Riemann solver for the twodimensional Euler equations
    • D. Levy, K. Powell, and B. van Leer, Use of a rotated Riemann solver for the twodimensional Euler equations, J. Comput. Phys., 106 (1993), pp. 201-214.
    • (1993) J. Comput. Phys. , vol.106 , pp. 201-214
    • Levy, D.1    Powell, K.2    Van Leer, B.3
  • 24
    • 0346179635 scopus 로고
    • An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
    • R.B. Pember, J.B. Bell, P. Colella, and W.Y. Crutchfield, An adaptive Cartesian grid method for unsteady compressible flow in irregular regions, J. Comput. Phys., 120 (1995), pp. 278-304.
    • (1995) J. Comput. Phys. , vol.120 , pp. 278-304
    • Pember, R.B.1    Bell, J.B.2    Colella, P.3    Crutchfield, W.Y.4
  • 25
    • 0028179795 scopus 로고
    • An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
    • J.J. Quirk, An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies, Comput. & Fluids, 23 (1994), pp. 125-142. (Pubitemid 285965)
    • (1994) Computers & Fluids , vol.23 , Issue.1 , pp. 125-142
    • Quirk, J.J.1
  • 26
    • 0028386735 scopus 로고
    • A contribution to the great Riemann solver debate
    • J.J. Quirk, A contribution to the great Riemann solver debate, Internat. J. Numer. Methods Fluids, 18 (1994), pp. 555-574.
    • (1994) Internat. J. Numer. Methods Fluids , vol.18 , pp. 555-574
    • Quirk, J.J.1
  • 27
    • 0026965646 scopus 로고
    • Optimum positive linear schemes for advection in two and three dimensions
    • P.L. Roe and D. Sidilkover, Optimum positive linear schemes for advection in two and three dimensions, SIAM J. Numer. Anal., 29 (1992), pp. 1542-1568. (Pubitemid 23606060)
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , Issue.6 , pp. 1542-1568
    • Roe, P.L.1    Sidilkover, D.2
  • 28
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shockcapturing schemes
    • C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shockcapturing schemes, J. Comput. Phys., 77 (1988), pp. 439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 29
    • 38849115658 scopus 로고    scopus 로고
    • A Cartesian embedded boundary method for hyperbolic conservation laws
    • B. Sjögreen and N.A. Petersson, A Cartesian embedded boundary method for hyperbolic conservation laws, Commun. Comput. Phys., 2 (2007), pp. 1199-1219.
    • (2007) Commun. Comput. Phys. , vol.2 , pp. 1199-1219
    • Sjögreen, B.1    Petersson, N.A.2
  • 31
    • 0003122153 scopus 로고
    • Restoration of the contact surface in the HLLRiemann solver
    • E.F. Toro, M. Spruce, and W. Speares, Restoration of the contact surface in the HLLRiemann solver, Shock Waves, 4 (1994), pp. 25-34.
    • (1994) Shock Waves , vol.4 , pp. 25-34
    • Toro, E.F.1    Spruce, M.2    Speares, W.3
  • 33
    • 0030906224 scopus 로고    scopus 로고
    • High resolution numerical simulation of ideal and nonideal compressible reacting flows with embedded internal boundaries
    • S. Xu, T. Aslam, and D. Stewart, High resolution numerical simulation of ideal and nonideal compressible reacting flows with embedded internal boundaries, Combust. Theory Model., 1 (1997), pp. 113-142.
    • (1997) Combust. Theory Model. , vol.1 , pp. 113-142
    • Xu, S.1    Aslam, T.2    Stewart, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.