[1] |
Agresar, G.: A computational environment for the study of circulating cell mechanics and adhesion. (1996) |

[2] |
Agresar, G.; Linderman, J. J.; Tryggvason, G.; Powell, K. G.: An adaptive, Cartesian, front-tracking method for the motion, deformation and adhesion of circulating cells. J. comput. Phys. 143, 346 (1998) · Zbl 0935.76047 |

[3] |
S. A. Bayyuk, K. G. Powell, and B. van Leer, A simulation technique for 2-D unsteady inviscid flows around arbitrary moving and deforming bodies of arbitrary geometry, in Proceedings, AIAA 11th Computational Fluid Dynamics Conference, Orlando, FL., July 6--9, 1993, pp. 1013--1024. |

[4] |
Bell, J.; Marcus, D. L.: A second-order projection method for variable density flows. J. comput. Phys. 101, 334 (1992) · Zbl 0759.76045 |

[5] |
Bell, J.; Colella, P.; Glaz, H. M.: A second-order projection method for the incompressible Navier--Stokes equations. J. comput. Phys. 85, 257 (1989) · Zbl 0681.76030 |

[6] |
Berger, M. J.: Adaptive mesh refinement for hyperbolic partial differential equations. (1982) |

[7] |
Berger, M. J.; Colella, P.: Local adaptive mesh refinement for shock hydrodynamics. J. comput. Phys. 82, 64 (1989) · Zbl 0665.76070 |

[8] |
Berger, M. J.; Oliger, J.: Adaptive mesh refinement for hyperbolic partical differential equations. J. comput. Phys. 53, 484 (1984) · Zbl 0536.65071 |

[9] |
Berger, M. J.; Rigoutsos, I.: An algorithm for point clustering and grid generation. IEEE trans. Systems, man, cybernet. 21, 1278 (September/October 1991) |

[10] |
Beyer, R. P.: A computational model of the cochlea using the immersed boundary method. J. comput. Phys. 98, 145 (1992) · Zbl 0744.76128 |

[11] |
Chorin, A. J.: Numerical solution of the Navier--Stokes equations. Math. comp. 22, 745 (1968) · Zbl 0198.50103 |

[12] |
Chorin, A. J.: On the convergence of discrete approximations to the Navier--Stokes equations. Comm. pure appl. Math. 23, 341 (1969) · Zbl 0184.20103 |

[13] |
P. Colella, A multidimensional second order godunov scheme for conservation laws, Technical Report LBL-17023, Lawrence Berkeley Laboratory, May 1984. [Unpublished] |

[14] |
Fauci, L. J.: Interaction of oscillating filaments--A computational study. J. comput. Phys. 86, 294 (1990) · Zbl 0682.76105 |

[15] |
Fogelson, A. L.: A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. J. comput. Phys. 56, 111 (1984) · Zbl 0558.92009 |

[16] |
J. A. Greenough, V. Beckner, R. B. Pember, W. Y. Crutchfield, J. B. Bell, and, P. Colella, An adaptive multifluid interface-capturing method for compressible flow in complex geometries, in, Proceedings, AIAA 26th Computational Fluid Dynamics Conference, San Diego, 1995; AIAA Paper 95-1718. |

[17] |
Haj-Hariri, H.; Shi, Q.; Borhan, A.: Thermocapillary motion of deformable drops at finite Reynolds and Marangoni numbers. Phys. fluids 9, 845 (1997) |

[18] |
Harlow, F. H.; Welch, J. E.: Numerical calculation of time-dependent viscous incompressible flow of fluids with free surfaces. Phys. fluids 8, 251 (1965) · Zbl 1180.76043 |

[19] |
Howell, L. H.; Bell, J. B.: An adaptive mesh projection method for viscous incompressible flow. SIAM J. Sci. comput. 18, 996 (July 1997) · Zbl 0901.76057 |

[20] |
Leveque, R. J.; Li, Z.: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. anal. 31, 1019 (August 1994) · Zbl 0811.65083 |

[21] |
Leveque, R. J.; Li, Z.: Immersed interface methods for Stokes flow with elastic boundaries or surface tension. (February 1995) · Zbl 0879.76061 |

[22] |
Li, Z.: The immersed interface method--A numerical approach for partial differential equations with interfaces. (1994) |

[23] |
Li, Z.: Immersed interface method for moving interface problems. (May 1995) |

[24] |
Mayo, A. A.; Peskin, C. S.: An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Contemp. math. 141, 261 (1993) · Zbl 0787.76055 |

[25] |
Minion, M. L.: Two methods for the study of vortex patch evolution on locally refined grids. (May 1994) |

[26] |
Peskin, C. S.: Flow patterns around heart valves: A digital computer method for solving the equations of motion. (July 1972) |

[27] |
Peskin, C. S.: Flow patterns around heart valves: A numerical method. J. comput. Phys. 10, 252 (1972) · Zbl 0244.92002 |

[28] |
Peskin, C. S.; Mcqueen, D. M.: A three-dimensional computational method for blood flow in the heart. I. immersed elastic fibers in a viscous incompressible fluid. J. comput. Phys. 81, 372 (1989) · Zbl 0668.76159 |

[29] |
Peskin, C. S.; Mcqueen, D. M.: Computational biofluid dynamics. Contemp. math. 141, 161 (1993) · Zbl 0786.76108 |

[30] |
C. S. Peskin, and, D. M. McQueen, A general method for the computer simulation of biological systems interacting with fluids, in, Proceedings, SEB Symposium on Biological Fluid Dynamics, Leeds, England, July 5--8, 1994. |

[31] |
Peyret, R.; Taylor, T. D.: Computational methods for fluid flow. (1990) · Zbl 0717.76003 |

[32] |
Printz, B. F.: Computer modeling of blood flow through the heart during the complete cardiac cycle. (1992) |

[33] |
Quirk, J. J.: An adaptive mesh refinement algorithm for computational shock hydrodynamics. (1991) |

[34] |
Roma, A. M.: A multilevel self-adaptive version of the immersed boundary method. (January 1996) |

[35] |
Rosar, M. E.: A three-dimensional computer model for fluid flow through a collapsible tube. (June 1994) |

[36] |
M. Sussman, A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell, and, M. L. Welcome, An adaptive level set approach for incompressible two-phase flows, in, Proceedings, the ASME Fluids Engineering Summer Meeting: Forum on Advances in Numerical Modeling of Free Surface and Interface Dynamics, 1996, Vol, 3, p, 355. · Zbl 0930.76068 |

[37] |
M. Sussman, A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell, and, M. L. Welcome, An adaptive level set approach for incompressible two-phase flows, J. Comput. Phys, to appear. · Zbl 0930.76068 |

[38] |
Tu, C.; Peskin, C. S.: Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods. SIAM J. Sci. statist. Comput. 13, 1361 (1992) · Zbl 0760.76067 |

[39] |
Unverdi, S. O.; Tryggvason, G.: A front-tracking method for viscous, incompressible flows. J. comput. Phys. 100, 25 (1992) · Zbl 0758.76047 |