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Dan Martin

Dan Martin (Full-time)
Phone: +1 510 495 2852
Fax: +1 510 486 6900

Dan Martin is a computational scientist in the Applied Numerical Algorithms Group at Lawrence Berkeley National Laboratory. His research involves development of algorithms and software for solving systems of PDEs using adaptive mesh refinement (AMR) finite volume schemes, high (4th)-order finite volume schemes for conservation laws on mapped meshes, and Chombo development and support.

Current applications of interest are developing an AMR ice sheet model as a part of the SCIDAC-funded PISCEES application partnership, and some development work related to the COGENT gyrokinetic modeling code, which is being developed in partnership with Lawrence Livermore National Laboratory as a part of the Edge Simulation Laboratory (ESL) collaboration. Dan joined ANAG and LBL as a post-doc in 1998. He has published in a broad range of application areas including projection methods for incompressible flow, adaptive methods for MHD, phase-field dynamics in materials, and Ice sheet modeling.

Dan is also the LBL practicum coordinator for the DOE´s Computational Science Graduate Fellowship program.

Journal Articles

S.L. Cornford, D.F. Martin, D.T. Graves, D.F. Ranken, A.M. Le Brocq, R.M. Gladstone, A.J. Payne, E.G. Ng, W.H. Lipscomb, "Adaptive mesh, finite volume modeling of marine ice sheets", Journal of Computational Physics, 232(1):529-549, 2013,

P.S. Li, D.F. Martin, R.I. Klein, and C.F. McKee, "A Stable, Accurate Methodology for High Mach Number, Strong Magnetic Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement Studies", The Astrophysical Journal Supplement Series, 2012,

F. Miniati and D.F. Martin, "Constrained-transport Magnetohydrodynamics with Adaptive Mesh Refinement in CHARM", The Astrophysical Journal Supplement Series, 195(1):5, 2011,

P. Colella, M.R. Dorr, J.A.F. Hittinger, and D.F. Martin, "High-Order Finite-Volume Methods in Mapped Coordinates", Journal of Computational Physics, 230(8):2952-2976 (2011), 2011,

Prateek Sharma, Phillip Colella, and Daniel F. Martin, "Numerical Implementation of Streaming Down the Gradient: Application to Fluid Modeling of Cosmic Rays", SIAM Journal on Scientific Computing , Vol 32(6), 3564-3583, 2010,

Martin, D.F., Colella, P., and Graves, D.T., "A Cell-Centered Adaptive Projection Method for the Incompressible Navier-Stokes Equations in Three Dimensions", Journal of Computational Physics Vol 227 (2008) pp. 1863-1886., 2008, LBNL 62025,

Martin, D.F., Colella, P., Anghel, M., Alexander, F., "Adaptive Mesh Refinement for Multiscale Nonequilibrium Physics", Computing in Science and Engineering Vol.7 N.3 (2005), pp. 24-31, 2005,

Trebotich, D., Miller, G.H., Colella, P., Graves, D.T., Martin, D.F., Schwartz, P.O., "A Tightly Coupled Particle-Fluid Model for DNA-Laden Flows in Complex Microscale Geometries", Computational Fluid and Solid Mechanics 2005, pp. 1018-1022, Elsevier (K. J. Bathe editor), 2005,

Samtaney, R., Colella, P., Jardin, S.C., Martin, D.F., "3D Adaptive Mesh Refinement Simulations of Pellet Injection in Tokamaks", Computer Physics Communications Vol.164 (2004), pp. 220-228, 2004,

Martin D., Colella, P., "A Cell-Centered Adaptive Projection Method for the Incompressible Euler Equations", J. Comput. Phys. Vol.163 (2000), pp. 271-312, 2000,

Conference Papers

Deines E., Weber, G.H., Garth, C., Van Straalen, B. Borovikov, S., Martin, D.F., and Joy, K.I., "On the computation of integral curves in adaptive mesh refinement vector fields", Proceedings of Dagstuhl Seminar on Scientific Visualization 2009, Schloss Dagstuhl, 2011, 2:73-91, LBNL 4972E,

  • Download File: 7.pdf (pdf: 799 KB)

R.H. Cohen, J. Compton, M. Dorr, J. Hittinger, W.M Nevins, T.D. Rognlien, Z.Q. Xu, P. Colella, and D. Martin, "Testing and Plans for the COGENT edge kinetic code", (abstract) submitted to Sherwood 2010, 2010,

G. H. Weber, S. Ahern, E.W. Bethel, S. Borovikov, H.R. Childs, E. Deines, C. Garth, H. Hagen, B. Hamann, K.I. Joy, D. Martin, J. Meredith, Prabhat, D. Pugmire, O. Rübel, B. Van Straalen and K. Wu, "Recent Advances in VisIt: AMR Streamlines and Query-Driven Visualization", Numerical Modeling of Space Plasma Flows: Astronum-2009 (Astronomical Society of the Pacific Conference Series, 3185E, 2010, 429:329-334,

P. Colella, M. Dorr, J. Hittinger, P.W. McCorquodale, and D.F. Martin, "High-Order Finite-Volume Methods on Locally-Structured Grids", Numerical Modeling of Space Plasma Flows: Astronum 2008 -- Proceedings of the 3rd International Conference, June 8-13, 2008, St John, U.S. Virgin Islands, 2009, pp. 207-216, 2009,

P. Colella, M. Dorr, J. Hittinger, D.F. Martin, and P. McCorquodale, "High-Order Finite-Volume Adaptive Methods on Locally Rectangular Grids", 2009 J. Phys.: Conf. Ser. 180 012010, 2009,

Martin, D.F., Colella, P.. and Keen, N., A. Deane, G. Brenner, A. Ecer, D. Emerson, J. McDonough, J. Periaux, N. Satofuka, & D. Tromeur-Dervout (Eds.), "An Incompressible Navier-Stokes with Particles Algorithm and Parallel Implementation", Parallel Computational Fluid Dynamics: Theory and Applications, Proceedings of the 2005 International Conference on Parallel Computational Fluid Dynamics, May 24-27, College Park, MD, USA, Elsevier (2006), p. 461-468., 2006, LBNL 58787,


Martin, D.F., Cartwright, K.L., "Solving Poisson's Equation using Adaptive Mesh Refinement", U.C. Berkeley Electronics Research Laboratory report No. UCB/ERL M96/66, October 19, 1996,


An Adaptive Cell-Centered Projection Method for the Incompressible Euler Equations, Martin, D.F., 1998,