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Volumn 41, Issue 2, 2009, Pages 300-320

Guidelines for poisson solvers on irregular domains with dirichlet boundary conditions using the ghost fluid method

Author keywords

Ghost fluid method; Irregular domains; Level set; Poisson equation

Indexed keywords

CONVERGENCE RATES; DIRICHLET BOUNDARY CONDITION; EXTRAPOLATION SCHEMES; FIRST ORDER; GHOST FLUID METHOD; HIGHER ORDER; INTERFACE LOCATIONS; IRREGULAR DOMAINS; LEVEL SET; LINEAR EXTRAPOLATION; LINEAR INTERPOLATION; NONSYMMETRIC LINEAR SYSTEMS; NUMERICAL EVIDENCE; POISSON PROBLEM; POISSON SOLVERS; QUADRATIC EXTRAPOLATION; QUADRATIC INTERPOLATION; SECOND ORDERS; VARIABLE COEFFICIENTS;

EID: 70349883878     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-009-9299-8     Document Type: Article
Times cited : (38)

References (16)
  • 1
    • 0002631224 scopus 로고    scopus 로고
    • A Simple Level Set Method for Solving Stefan Problems
    • DOI 10.1006/jcph.1997.5721, PII S0021999197957211
    • S. Chen B. Merriman S. Osher P. Smereka 1997 A simple level set method for solving Stefan problems J. Comput. Phys. 135 8 29 0889.65133 10.1006/jcph.1997.5721 1461705 (Pubitemid 127343379)
    • (1997) Journal of Computational Physics , vol.135 , Issue.1 , pp. 8-29
    • Chen, S.1    Merriman, B.2    Osher, S.3    Smereka, P.4
  • 2
    • 34547506442 scopus 로고    scopus 로고
    • A coupling interface method for elliptic interface problems
    • 1123.65108 10.1016/j.jcp.2007.03.012 2349699
    • I.-L. Chern Y.-C. Shu 2007 A coupling interface method for elliptic interface problems J. Comput. Phys. 225 2138 2174 1123.65108 10.1016/j.jcp.2007.03.012 2349699
    • (2007) J. Comput. Phys. , vol.225 , pp. 2138-2174
    • Chern, I.-L.1    Shu, Y.-C.2
  • 3
    • 0346905274 scopus 로고    scopus 로고
    • Using the particle level set method and a second order accurate pressure boundary condition for free surface flows
    • number FEDSM2003-45144. ASME
    • Enright, D., Nguyen, D., Gibou, F., Fedkiw, R.: Using the particle level set method and a second order accurate pressure boundary condition for free surface flows. In: Proc. 4th ASME-JSME Joint Fluids Eng. Conf., number FEDSM2003-45144. ASME (2003)
    • (2003) Proc. 4th ASME-JSME Joint Fluids Eng. Conf.
    • Enright, D.1    Nguyen, D.2    Gibou, F.3    Fedkiw, R.4
  • 4
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
    • 0957.76052 10.1006/jcph.1999.6236 1699710
    • R. Fedkiw T. Aslam B. Merriman S. Osher 1999 A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method) J. Comput. Phys. 152 457 492 0957.76052 10.1006/jcph.1999.6236 1699710
    • (1999) J. Comput. Phys. , vol.152 , pp. 457-492
    • Fedkiw, R.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 5
    • 33847046340 scopus 로고    scopus 로고
    • A level set based sharp interface method for incompressible flows with phase change
    • 1158.76403 10.1016/j.jcp.2006.07.035 2313414
    • F. Gibou L. Chen D. Nguyen S. Banerjee 2007 A level set based sharp interface method for incompressible flows with phase change J. Comput. Phys. 222 536 555 1158.76403 10.1016/j.jcp.2006.07.035 2313414
    • (2007) J. Comput. Phys. , vol.222 , pp. 536-555
    • Gibou, F.1    Chen, L.2    Nguyen, D.3    Banerjee, S.4
  • 6
    • 10244220985 scopus 로고    scopus 로고
    • A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
    • DOI 10.1016/j.jcp.2004.07.018, PII S0021999104002980
    • F. Gibou R. Fedkiw 2005 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem J. Comput. Phys. 202 577 601 1061.65079 10.1016/j.jcp.2004.07.018 2145393 (Pubitemid 39620329)
    • (2005) Journal of Computational Physics , vol.202 , Issue.2 , pp. 577-601
    • Gibou, F.1    Fedkiw, R.2
  • 7
    • 0042164092 scopus 로고    scopus 로고
    • A level set approach for the numerical simulation of dendritic growth
    • 1081.74560 10.1023/A:1025399807998 2028842
    • F. Gibou R. Fedkiw R. Caflisch S. Osher 2003 A level set approach for the numerical simulation of dendritic growth J. Sci. Comput. 19 183 199 1081.74560 10.1023/A:1025399807998 2028842
    • (2003) J. Sci. Comput. , vol.19 , pp. 183-199
    • Gibou, F.1    Fedkiw, R.2    Caflisch, R.3    Osher, S.4
  • 8
    • 0037050814 scopus 로고    scopus 로고
    • A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
    • 0996.65108 10.1006/jcph.2001.6977 1881544
    • F. Gibou R. Fedkiw L.-T. Cheng M. Kang 2002 A second-order-accurate symmetric discretization of the Poisson equation on irregular domains J. Comput. Phys. 176 205 227 0996.65108 10.1006/jcph.2001.6977 1881544
    • (2002) J. Comput. Phys. , vol.176 , pp. 205-227
    • Gibou, F.1    Fedkiw, R.2    Cheng, L.-T.3    Kang, M.4
  • 9
    • 0004236492 scopus 로고
    • The John Hopkins University Press Baltimore 0733.65016
    • Golub, G., Loan, C.: Matrix Computations. The John Hopkins University Press, Baltimore (1989)
    • (1989) Matrix Computations
    • Golub, G.1    Loan, C.2
  • 10
    • 10244227858 scopus 로고    scopus 로고
    • The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions
    • DOI 10.1016/j.jcp.2004.07.011, PII S0021999104002955
    • Z. Jomaa C. Macaskill 2005 The embedded finite difference method for the Poisson equation in a domain with and irregular boundary and Dirichlet boundary conditions J. Comput. Phys. 202 488 506 1061.65107 10.1016/j.jcp.2004.07.011 2145390 (Pubitemid 39620326)
    • (2005) Journal of Computational Physics , vol.202 , Issue.2 , pp. 488-506
    • Jomaa, Z.1    Macaskill, C.2
  • 11
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • DOI 10.1023/A:1011178417620
    • M. Kang R. Fedkiw X.-D. Liu 2000 A boundary condition capturing method for multiphase incompressible flow J. Sci. Comput. 15 323 360 1049.76046 10.1023/A:1011178417620 1828747 (Pubitemid 32508315)
    • (2000) Journal of Scientific Computing , vol.15 , Issue.3 , pp. 323-360
    • Kang, M.1    Fedkiw, R.P.2    Liu, X.-D.3
  • 12
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • 0811.65083 10.1137/0731054 1286215
    • R. LeVeque Z. Li 1994 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM J. Numer. Anal. 31 1019 1044 0811.65083 10.1137/0731054 1286215
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • Leveque, R.1    Li, Z.2
  • 13
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • 10.1006/jcph.2000.6444 1756763
    • X.D. Liu R. Fedkiw M. Kang 2000 A boundary condition capturing method for Poisson's equation on irregular domains J. Comput. Phys. 154 151 10.1006/jcph.2000.6444 1756763
    • (2000) J. Comput. Phys. , vol.154 , pp. 151
    • Liu, X.D.1    Fedkiw, R.2    Kang, M.3
  • 14
    • 13844270736 scopus 로고    scopus 로고
    • A node-centered local refinement algorithm for Poisson's equation in complex geometries
    • DOI 10.1016/j.jcp.2004.04.022, PII S0021999104001901
    • P. McCorquodale P. Colella D. Grote J.-L. Vay 2004 A node-centered local refinement algorithm for Poisson's equation in complex geometries J. Comput. Phys. 201 34 60 1059.65094 10.1016/j.jcp.2004.04.022 2098852 (Pubitemid 40256583)
    • (2004) Journal of Computational Physics , vol.201 , Issue.1 , pp. 34-60
    • McCorquodale, P.1    Colella, P.2    Grote, D.P.3    Vay, J.-L.4
  • 15
    • 0035455631 scopus 로고    scopus 로고
    • A boundary condition capturing method for incompressible flame discontinuities
    • DOI 10.1006/jcph.2001.6812
    • D. Nguyen R. Fedkiw M. Kang 2001 A boundary condition capturing method for incompressible flame discontinuities J. Comput. Phys. 172 71 98 1065.76575 10.1006/jcph.2001.6812 1852323 (Pubitemid 33098525)
    • (2001) Journal of Computational Physics , vol.172 , Issue.1 , pp. 71-98
    • Nguyen, D.Q.1    Fedkiw, R.P.2    Kang, M.3


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