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M. Aftosmis, J. Melton, and M. Berger.
Robust and efficient Cartesian mesh generation for component-based
geometry.
AIAA Journal, 36(6):952-960, June 1998.
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A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell, and M. J. Welcome.
A conservative adaptive projection method for the variable density
incompressible Navier-Stokes equations.
J. Comput. Phys., 142(1):1-46, May 1998.
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A. S. Almgren, T. Buttke, and P. Colella.
A fast adaptive vortex method in three dimensions.
J. Comput. Phys., 113(2):177-200, 1994.
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C. R. Anderson.
A method of local corrections for computing the velocity field due to
a distribution of vortex blobs.
J. Comput. Phys., 62:111-123, 1986.
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G. Balls and P. Colella.
A finite difference domain decomposition method for solving
Poisson's equation using local corrections.
Technical Report LBNL-45035, Lawrence Berkeley National Laboratory,
January 2000.
submitted to J. Comput. Phys.
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J. B. Bell, M. J. Berger, J. S. Saltzman, and M. Welcome.
A three-dimensional adaptive mesh refinement for hyperbolic
conservation laws.
SIAM Journal on Scientific Computing, 15:127-138, 1994.
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J. B. Bell, P. Colella, and M. Welcome.
A conservative front-tracking for inviscid compressible flow.
In Proceedings of the Tenth AIAA Computational Fluid Dynamics
Conference, pages 814-822. AIAA, June 1991.
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M. Berger and J. Oliger.
Adaptive mesh refinement for hyperbolic partial differential
equations.
J. Comput. Phys., 53:484-512, March 1984.
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M. J. Berger and P. Colella.
Local adaptive mesh refinement for shock hydrodynamics.
J. Comput. Phys., 82(1):64-84, May 1989.
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Matthew Tyler Bettencourt.
A Block-Structured Adaptive Steady-State Solver for the
Drift-Diffusion Equations.
PhD thesis, Dept. of Mechanical Engineering, Univ. of California,
Berkeley, May 1998.
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I.-L. Chern and P. Colella.
A conservative front tracking method for hyperbolic conservation
laws.
Technical Report UCRL-97200, Lawrence Livermore National Laboratory,
July 1987.
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P. Colella, M. Dorr, and D. Wake.
Numerical solution of plasma fluid equations using locally refined
grids.
J. Comput. Phys., 152:550-583, 1999.
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W. Y. Crutchfield and M. Welcome.
Object-oriented implementation of adaptive mesh refinement
algorithms.
Scientific Programming, 2(4):145-156, 1993.
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S. A. Dudek and P. Colella.
Steady-state solution-adaptive euler computations on structured
grids.
Technical Report AIAA-98-0543, American Institute of Aeronautics and
Astronautics, January 1998.
presented at the AIAA 36th Aerospace Sciences Meeting, Reno, NV.
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E. Esarey, P. Sprangle, J. Krall, and A. Ting.
Overview of plasma-based accelerator concepts.
Invited Review, IEEE Trans. Plasma Sci., PS-24:252-288, 1996.
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Erich Gamma, Richard Helm, Ralph Johnson, John Vlissides, and Grady Booch.
Design Patterns: Elements of Reusable Object Oriented Software.
Addison-Wesley, 1995.
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P. N. Hilfinger and P. Colella.
FIDIL: A language for scientific programming.
In Robert Grossman, editor, Symbolic Computing: Applications to
Scientific Computing, Frontiers in Applied Mathematics, chapter 5, pages
97-138. SIAM, 1989.
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L. H. Howell, R. B. Pember, P. Colella, J. P. Jessee, and W. A. Fiveland.
A conservative adaptive-mesh algorithm for unsteady, combined-mode
heat transfer using the discrete ordinates method.
Numerical Heat Transfer, Part B: Fundamentals, 1999.
in press.
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J. P. Jessee, W. A. Fiveland, L. H. Howell, P. Colella, and R. B. Pember.
An adaptive mesh refinement algorithm for the radiative transport
equation.
J. Comput. Phys., 139(2):380-398, January 1998.
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H. Johansen and P. Colella.
A Cartesian grid embedded boundary method for Poisson's equation
on irregular domains.
J. Comput. Phys., 147(2):60-85, December 1998.
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Hans Svend Johansen.
Cartesian Grid Embedded Boundary Methods for Elliptic and
Parabolic Partial Differential Equations on Irregular Domains.
PhD thesis, Dept. of Mechanical Engineering, Univ. of California,
Berkeley, December 1997.
- 22
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D. F. Martin and P. Colella.
A cell-centered adaptive projection method for the incompressible
euler equations.
J. Comput. Phys., 163(2):271-312, 2000.
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P. McCorquodale, P. Colella, and H. Johansen.
A Cartesian grid embedded boundary method for the heat equation on
irregular domains.
Technical Report LBNL-47459, Lawrence Berkeley National Laboratory,
February 2001.
submitted to J. Comput. Phys.
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G. H. Miller and E. G. Puckett.
A high-order Godunov method for multiple condensed phases.
J. Comput. Phys., 128(1):134-164, October 1996.
- 25
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M. L. Minion.
Projection method for locally refined grids.
J. Comput. Phys., 127:158-178, 1996.
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D Modiano and P. Colella.
A higher-order embedded boundary method for time-dependent simulation
of hyperbolic conservation laws.
In Proceedings of the FEDSM 00 - ASME Fluids Engineering
Simulation Meeting, Boston, MA, June 2000.
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W. Park, E. V. Belova, G. Y. Fu, X. Z. Tang, H. R. Strauss, and L. E. Sugiyama.
Plasma simulation using multilevel physics models.
Physics of Plasmas, 6(5):1796-1803, 1999.
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R. B. Pember, J. B. Bell, P. Colella, W. Y. Crutchfield, and M. L. Welcome.
An adaptive Cartesian grid method for unsteady compressible flow in
irregular regions.
J. Comput. Phys., 120:278-304, 1995.
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R. M. Propp and P. Colella.
An adaptive mesh refinement algorithm for porous media flows.
submitted for publication, February 1999.
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M. Sussman, A. S. Almgren, J. B. Bell, L. H. Howell, and M. L. Welcome.
An adaptive level set approach for incompressible two-phase flows.
J. Comput. Phys., 148(1):81-124, January 1999.
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P. Volfbeyn, E. Esarey, and W.P. Leemans.
Guiding of laser pulses in plasma channels created by the
ignitor-heater technique.
Invited Paper, Phys. Plasmas, 6:2269-2277, 1999.
Phil Colella
2002-03-04