메뉴 건너뛰기




Volumn 231, Issue 15, 2012, Pages 4981-4992

A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme

Author keywords

Interface tracking; Mass conservation; Operator splitting; PLIC; Semi Lagrangian advection; Volume tracking; Volume of fluid

Indexed keywords

BENCHMARKING; LAGRANGE MULTIPLIERS; PIECEWISE LINEAR TECHNIQUES;

EID: 84861783562     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2012.04.029     Document Type: Article
Times cited : (11)

References (21)
  • 2
    • 34547533521 scopus 로고    scopus 로고
    • Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry
    • Aulisa E., Manservisi S., Scardovelli R., Zaleski S. Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry. J. Comput. Phys. 2007, 225:2301-2319.
    • (2007) J. Comput. Phys. , vol.225 , pp. 2301-2319
    • Aulisa, E.1    Manservisi, S.2    Scardovelli, R.3    Zaleski, S.4
  • 3
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • Bell J.B., Colella P., Glaz H.M. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 1989, 85:257-283.
    • (1989) J. Comput. Phys. , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 5
    • 0037146444 scopus 로고    scopus 로고
    • A hybrid particle level set method for improved interface capturing
    • Enright D., Fedkiw R., Ferziger J., Mitchell I. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 2002, 183:83-116.
    • (2002) J. Comput. Phys. , vol.183 , pp. 83-116
    • Enright, D.1    Fedkiw, R.2    Ferziger, J.3    Mitchell, I.4
  • 6
    • 13544259663 scopus 로고    scopus 로고
    • A fast and accurate semi-Lagrangian particle level set method
    • Enright D., Losasso F., Fedkiw R. A fast and accurate semi-Lagrangian particle level set method. Comput. Struct. 2005, 83:479-490.
    • (2005) Comput. Struct. , vol.83 , pp. 479-490
    • Enright, D.1    Losasso, F.2    Fedkiw, R.3
  • 7
    • 28144458565 scopus 로고    scopus 로고
    • A semi-Lagrangian level set method for incompressible Navier-Stokes equations with free surface
    • González L.M.G., Bermejo R. A semi-Lagrangian level set method for incompressible Navier-Stokes equations with free surface. Int. J. Numer. Methods Fluids 2005, 49:1111-1146.
    • (2005) Int. J. Numer. Methods Fluids , vol.49 , pp. 1111-1146
    • González, L.M.G.1    Bermejo, R.2
  • 8
    • 0346207426 scopus 로고    scopus 로고
    • Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
    • Gueyffier D., Li J., Nadim A., Scardovelli R., Zaleski S. Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 1999, 152:423-456.
    • (1999) J. Comput. Phys. , vol.152 , pp. 423-456
    • Gueyffier, D.1    Li, J.2    Nadim, A.3    Scardovelli, R.4    Zaleski, S.5
  • 9
    • 78650569847 scopus 로고    scopus 로고
    • Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
    • Qiu J.-M., Shu C.-W. Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. J. Comput. Phys. 2011, 230:863-889.
    • (2011) J. Comput. Phys. , vol.230 , pp. 863-889
    • Qiu, J.-M.1    Shu, C.-W.2
  • 10
    • 0040844790 scopus 로고    scopus 로고
    • Reconstructing volume tracking
    • Rider W.J., Kothe D.B. Reconstructing volume tracking. J. Comput. Phys. 1998, 141:112-152.
    • (1998) J. Comput. Phys. , vol.141 , pp. 112-152
    • Rider, W.J.1    Kothe, D.B.2
  • 11
    • 0037473026 scopus 로고    scopus 로고
    • Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection
    • Scardovelli R., Zaleski S. Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection. Int. J. Numer. Methods Fluids 2003, 41:251-274.
    • (2003) Int. J. Numer. Methods Fluids , vol.41 , pp. 251-274
    • Scardovelli, R.1    Zaleski, S.2
  • 12
    • 0026291228 scopus 로고
    • Semi-Lagrangian integration schemes for atmospheric models - a review
    • Staniforth A.N., Côté J. Semi-Lagrangian integration schemes for atmospheric models - a review. Mon. Weather Rev. 1991, 119:2206-2223.
    • (1991) Mon. Weather Rev. , vol.119 , pp. 2206-2223
    • Staniforth, A.N.1    Côté, J.2
  • 13
    • 0346156219 scopus 로고    scopus 로고
    • Semi-Lagrangian methods for level set equations
    • Strain J. Semi-Lagrangian methods for level set equations. J. Comput. Phys. 1999, 151:498-533.
    • (1999) J. Comput. Phys. , vol.151 , pp. 498-533
    • Strain, J.1
  • 14
    • 0345856424 scopus 로고    scopus 로고
    • A fast semi-Lagrangian contouring method for moving interfaces
    • Strain J. A fast semi-Lagrangian contouring method for moving interfaces. J. Comput. Phys. 2001, 170:373-394.
    • (2001) J. Comput. Phys. , vol.170 , pp. 373-394
    • Strain, J.1
  • 15
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 1968, 5:506-517.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506-517
    • Strang, G.1
  • 16
    • 0001731790 scopus 로고
    • Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic-type equations
    • Takewaki H., Nishiguchi A., Yabe T. Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic-type equations. J. Comput. Phys. 1985, 61:261-268.
    • (1985) J. Comput. Phys. , vol.61 , pp. 261-268
    • Takewaki, H.1    Nishiguchi, A.2    Yabe, T.3
  • 17
    • 58949104724 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for sharp interface simulation of plunging breaking waves
    • Wang Z., Yang J., Koo B., Stern F. A coupled level set and volume-of-fluid method for sharp interface simulation of plunging breaking waves. Int. J. Multiphase Flow 2009, 35:227-246.
    • (2009) Int. J. Multiphase Flow , vol.35 , pp. 227-246
    • Wang, Z.1    Yang, J.2    Koo, B.3    Stern, F.4
  • 18
    • 84862776987 scopus 로고    scopus 로고
    • A new volume-of-fluid method with a constructed distance function on general structured grids
    • Wang Z., Yang J., Stern F. A new volume-of-fluid method with a constructed distance function on general structured grids. J. Comput. Phys. 2012, 231:3703-3722.
    • (2012) J. Comput. Phys. , vol.231 , pp. 3703-3722
    • Wang, Z.1    Yang, J.2    Stern, F.3
  • 19
    • 0035922242 scopus 로고    scopus 로고
    • A semi-Lagrangian high-order method for Navie-Stokes equations
    • Xiu D., Karniadakis G. A semi-Lagrangian high-order method for Navie-Stokes equations. J. Comput. Phys. 2001, 172:658-684.
    • (2001) J. Comput. Phys. , vol.172 , pp. 658-684
    • Xiu, D.1    Karniadakis, G.2
  • 20
    • 0035864724 scopus 로고    scopus 로고
    • On the efficiency of the semi-implicit and semi-Lagrangian spectral methods for the calculation of incompressible flows
    • Xu C., Pasquetti R. On the efficiency of the semi-implicit and semi-Lagrangian spectral methods for the calculation of incompressible flows. Int. J. Numer. Methods Fluids 2001, 35:319-340.
    • (2001) Int. J. Numer. Methods Fluids , vol.35 , pp. 319-340
    • Xu, C.1    Pasquetti, R.2
  • 21
    • 3743101779 scopus 로고
    • Fully multidimensional flux-corrected transport algorithms for fluids
    • Zalesak S.T. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 1979, 31:335-362.
    • (1979) J. Comput. Phys. , vol.31 , pp. 335-362
    • Zalesak, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.