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Applied Numerical Algorithms Group

Dan Martin

Dan Martin
Group Leader
Staff Scientist
Phone: +1 510 495 2852
Fax: +1 510 486 6900

Dan Martin is a computational scientist and group leader for the Applied Numerical Algorithms Group at Lawrence Berkeley National Laboratory. His research involves the 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 the BISICLES AMR ice sheet model as a part of the SCIDAC-funded ProSPect 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.

He is the Level 3 Lead for the  Applications Development Earth and Space Science Portfolio in the DOE ASCR Exascale Computing Project (ECP).

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

Journal Articles

Will Thacher, Hans Johansen, Daniel Martin, "A high order cut-cell method for solving the shallow-shelf equations", Journal of Computational Science, August 1, 2024, 80, doi: 10.1016/j.jocs.2024.102319

Lois Curfman McInnes, Paige Kinsley, Daniel Martin, Suzanne Parete-Koon, Sreeranjani (Jini) Ramprakash, "Building a Diverse and Inclusive HPC Community for Mission-Driven Team Science", Computing in Science & Engineering, April 12, 2024, 25:5:31-38, doi: 10.1109/MCSE.2023.3348943

Will Thacher and Hans Johansen and Daniel Martin, "A high order Cartesian grid, finite volume method for elliptic interface problems", Journal of Computational Physics, October 15, 2023, 491, doi: 10.1016/

S. Bevan, S. Cornford, L. Gilbert, I. Otosaka, D. Martin, T. Surawy-Stepney, "Amundsen Sea Embayment ice-sheet mass-loss predictions to 2050 calibrated using observations of velocity and elevation change", Journal of Glaciology, August 14, 2023, 1-11, doi: 10.1017/jog.2023.57

Anne M. Felden, Daniel F. Martin, Esmond G. Ng, "SUHMO: an AMR SUbglacial Hydrology MOdel v1.0", Geosci. Model Dev. Discuss., July 27, 2022,

Samuel B. Kachuck, Morgan Whitcomb, Jeremy N. Bassis, Daniel F. Martin, Stephen F. Price, "Simulating ice-shelf extent using damage mechanics", Journal of Glaciology, March 7, 2022, 68(271):987-998, doi: 10.1017/jog.2022.12

Thomas M Evans, Andrew Siegel, Erik W Draeger,Jack Deslippe, Marianne M Francois, Timothy C Germann,William E Hart, Daniel F Martin, "A survey of software implementations used by application codes in the Exascale Computing Project", The International Journal of High Performance Computing Applications, June 25, 2021, doi:

Tamsin L. Edwards, Sophie Nowicki, Ben Marzeion, Regine Hock, Heiko Goelzer, Hélène Seroussi, Nicolas C. Jourdain, Donald A. Slater, Fiona E. Turner, Christopher J. Smith, Christine M. McKenna, Erika Simon, Ayako Abe-Ouchi, Jonathan M. Gregory, Eric Larour, William H. Lipscomb, Antony J. Payne, Andrew Shepherd, Cécile Agosta, Patrick Alexander, Torsten Albrecht, Brian Anderson, Xylar Asay-Davis, Andy Aschwanden, Alice Barthel, Andrew Bliss, Reinhard Calov, Christopher Chambers, Nicolas Champollion, Youngmin Choi, Richard Cullather, Joshua Cuzzone, Christophe Dumas, Denis Felikson, Xavier Fettweis, Koji Fujita, Benjamin K. Galton-Fenzi, Rupert Gladstone, Nicholas R. Golledge, Ralf Greve, Tore Hattermann, Matthew J. Hoffman, Angelika Humbert, Matthias Huss, Philippe Huybrechts, Walter Immerzeel, Thomas Kleiner, Philip Kraaijenbrink, Sébastien Le clec’h, Victoria Lee, Gunter R. Leguy, Christopher M. Little, Daniel P. Lowry, Jan-Hendrik Malles, Daniel F. Martin, Fabien Maussion, Mathieu Morlighem, James F. O’Neill, Isabel Nias, Frank Pattyn, Tyler Pelle, Stephen F. Price, Aurélien Quiquet, Valentina Radić, Ronja Reese, David R. Rounce, Martin Rückamp, Akiko Sakai, Courtney Shafer, Nicole-Jeanne Schlegel, Sarah Shannon, Robin S. Smith, Fiammetta Straneo, Sainan Sun, Lev Tarasov, Luke D. Trusel, Jonas Van Breedam, Roderik van de Wal, Michiel van den Broeke, Ricarda Winkelmann, Harry Zekollari, Chen Zhao, Tong Zhang, Thomas Zwinger, "Projected land ice contributions to twenty-first-century sea level rise", Nature, May 5, 2021, 593:74-82, doi: 10.1038/s41586-021-03302-y

Sun, S., Pattyn, F., Simon, E., Albrecht, T., Cornford, S., Calov, R., . . . Zhang, T., "Antarctic ice sheet response to sudden and sustained ice-shelf collapse (ABUMIP)", Journal of Glaciology, September 14, 2020, 1-14, doi: 10.1017/jog.2020.67

S. B. Kachuck, D. F. Martin, J. N. Bassis, S. F. Price, "Rapid viscoelastic deformation slows marine ice sheet instability at Pine Island Glacier", Geophysical Research Letters, May 7, 2020, 47, doi: 10.1029/2019GL086446

Levermann, A., Winkelmann, R., Albrecht, T., Goelzer, H., Golledge, N. R., Greve, R., Huybrechts, P., Jordan, J., Leguy, G., Martin, D., Morlighem, M., Pattyn, F., Pollard, D., Quiquet, A., Rodehacke, C., Seroussi, H., Sutter, J., Zhang, T., Van Breedam, J., Calov, R., DeConto, R., Dumas, C., Garbe, J., Gudmundsson, G. H., Hoffman, M. J., Humbert, A., Kleiner, T., Lipscomb, W. H., Meinshausen, M., Ng, E., Nowicki, S. M. J., Perego, M., Price, S. F., Saito, F., Schlegel, N.-J., Sun, S., van de Wal, R. S. W, "Projecting Antarctica’s contribution to future sea level rise from basal ice shelf melt using linear response functions of 16 ice sheet models (LARMIP-2)", Earth System Dynamics, February 14, 2020, 11:35–76, doi: 10.5194/esd-11-35-2020

James R.G. Parkinson, Daniel F. Martin, Andrew J. Wells, Richard F. Katz, "Modelling binary alloy solidification with adaptive mesh refinement", Journal of Computational Physics: X, January 7, 2020, 5, doi: 10.1016/j.jcpx.2019.100043

Mark Adams, Stephen Cornford, Daniel Martin, Peter McCorquodale, "Composite matrix construction for structured grid adaptive mesh refinement", Computer Physics Communications, November 2019, 244:35-39, doi: 10.1016/j.cpc.2019.07.006

Daniel F. Martin, Stephen L. Cornford, Antony J. Payne, "Millennial‐scale Vulnerability of the Antarctic Ice Sheet to Regional Ice Shelf Collapse", Geophysical Research Letters, January 9, 2019, doi: 10.1029/2018gl081229


The Antarctic Ice Sheet (AIS) remains the largest uncertainty in projections of future sea level rise. A likely climate‐driven vulnerability of the AIS is thinning of floating ice shelves resulting from surface‐melt‐driven hydrofracture or incursion of relatively warm water into subshelf ocean cavities. The resulting melting, weakening, and potential ice‐shelf collapse reduces shelf buttressing effects. Upstream ice flow accelerates, causing thinning, grounding‐line retreat, and potential ice sheet collapse. While high‐resolution projections have been performed for localized Antarctic regions, full‐continent simulations have typically been limited to low‐resolution models. Here we quantify the vulnerability of the entire present‐day AIS to regional ice‐shelf collapse on millennial timescales treating relevant ice flow dynamics at the necessary ∼1km resolution. Collapse of any of the ice shelves dynamically connected to the West Antarctic Ice Sheet (WAIS) is sufficient to trigger ice sheet collapse in marine‐grounded portions of the WAIS. Vulnerability elsewhere appears limited to localized responses.

Plain Language Summary:

The biggest uncertainty in near‐future sea level rise (SLR) comes from the Antarctic Ice Sheet. Antarctic ice flows in relatively fast‐moving ice streams. At the ocean, ice flows into enormous floating ice shelves which push back on their feeder ice streams, buttressing them and slowing their flow. Melting and loss of ice shelves due to climate changes can result in faster‐flowing, thinning and retreating ice leading to accelerated rates of global sea level rise.To learn where Antarctica is vulnerable to ice‐shelf loss, we divided it into 14 sectors, applied extreme melting to each sector's floating ice shelves in turn, then ran our ice flow model 1000 years into the future for each case. We found three levels of vulnerability. The greatest vulnerability came from attacking any of the three ice shelves connected to West Antarctica, where much of the ice sits on bedrock lying below sea level. Those dramatic responses contributed around 2m of sea level rise. The second level came from four other sectors, each with a contribution between 0.5‐1m. The remaining sectors produced little to no contribution. We examined combinations of sectors, determining that sectors behave independently of each other for at least a century.

M. S. Waibel, C. L. Hulbe, C. S. Jackson, D. F. Martin, "Rate of Mass Loss Across the Instability Threshold for Thwaites Glacier Determines Rate of Mass Loss for Entire Basin", Geophysical Research Letters, February 19, 2018, 45:809-816, doi: 10.1002/2017GL076470

S.L. Cornford, D.F.Martin, V. Lee, A.J. Payne, E.G. Ng, "Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics", Annals of Glaciology, September 2016, 57 (73), doi: 10.1017/aog.2016.13

Xylar S. Asay-Davis, Stephen L. Cornford, Gaël Durand, Benjamin K. Galton-Fenzi, Rupert M. Gladstone, G. Hilmar Gudmundsson, Tore Hattermann, David M. Holland, Denise Holland, Paul R. Holland, Daniel F. Martin, Pierre Mathiot, Frank Pattyn, Hélène Seroussi, "Experimental design for three interrelated marine ice sheet and ocean model intercomparison projects: MISMIP v. 3 (MISMIP +), ISOMIP v. 2 (ISOMIP +) and MISOMIP v. 1 (MISOMIP1)", Geoscientific Model Development, July 2016, 9(7), doi: doi:10.5194/gmd-9-2471-2016

S. L. Cornford, D. F. Martin, A. J. Payne, E. G. Ng, A. M. Le Brocq, R. M. Gladstone, T. L. Edwards, S. R. Shannon, C. Agosta, M. R. van den Broeke, H. H. Hellmer, G. Krinner, S. R. M. Ligtenberg, R. Timmermann, D. G. Vaughan, "Century-scale simulations of the response of the West Antarctic Ice Sheet to a warming climate", The Cryosphere, August 18, 2015, doi: 10.5194/tc-9-1579-2015, 2015

Frank Pattyn, Laura Perichon, Gaël Durand, Lionel Favier, Olivier Gagliardini, Richard C.A. Hindmarsh, Thomas Zwinger, Torsten Albrecht, Stephen Cornford, David Docquier, Johannes J. Fürst, Daniel Goldberg, G. Hilmar Gudmundsson, Angelika Humbert, Moritz Hütten, Philippe Huybrechts, Guillaume Jouvet, Thomas Kleiner, Eric Larour, Daniel Martin, Mathieu Morlighem, Anthony J. Payne, David Pollard, Martin Rückamp, Oleg Rybak, Hélène Seroussi, Malte Thoma, Nina Wilkens, "Grounding-line migration in plan-view marine ice-sheet models: results of the ice2sea MISMIP3d intercomparison", Journal of Glaciology, 2013, 59:410-422, doi: 10.3189/2013JoG12J129

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,

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, doi: 10.1016/

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, doi: 10.1016/

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, doi: 10.1016/j.cpc.2004.06.032

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, doi: 10.1006/jcph.2000.6575

Conference Papers

Xiaocheng Zou, David A Boyuka II, Dhara Desai, Daniel F Martin, Suren Byna, Kesheng Wu, "AMR-aware in situ indexing and scalable querying", Proceedings of the 24th High Performance Computing Symposium, January 1, 2016, 26,

Xiaocheng Zou, Kesheng Wu, David A. Boyuka, Daniel F. Martin, Suren Byna, Houjun, Kushal Bansal, Terry J. Ligocki, Hans Johansen, and Nagiza F. Samatova, "Parallel In Situ Detection of Connected Components Adaptive Mesh Refinement Data", Proceedings of the Cluster, Cloud and Grid Computing (CCGrid) 2015, 2015,

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)

Gunther Weber, "Recent advances in visit: Amr streamlines and query-driven visualization", 2010,

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,

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,

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,

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,


Daniel F. Martin, Stephen L. Cornford, Esmond G. Ng, Impact of Improved Bedrock Geometry and Basal Friction Relations on Antarctic Vulnerability to Regional Ice Shelf Collapse, Americal Geophysical Union Fall Meeting, December 15, 2021,

Anne M. Felden, Daniel F. Martin, Esmond G. Ng, SUHMO: An SUbglacial Hydrology MOdel based on the Chombo AMR framework, American Geophysical Union Fall Meeting, December 13, 2021,

Daniel F. Martin, Stephen L. Cornford, Esmond G Ng, Effect of Improved Bedrock Geometry on Antarctic Vulnerability to Regional Ice Shelf Collapse, European Geosciences Union 2020 General Assembly, May 5, 2020,

Andrew Wells, James Parkinson, Daniel F Martin, Three-dimensional convection, phase change, and solute transport in mushy sea ice, European Geosciences Union 2020 General Assembly,, May 4, 2020,

Daniel Martin, Modeling Antarctic Ice Sheet Dynamics using Adaptive Mesh Refinement, 2019 SIAM Conference on Computational Science and Engineering, February 26, 2019,

Dan Martin, Brent Minchew, Stephen Price, Esmond Ng, Modeling Marine Ice Cliff Instability: Higher resolution leads to lower impact, AGU Fall Meeting, December 12, 2018,

Dan Martin, Ice sheet model-dependence of persistent ice-cliff formation, European Geosciences Union General Assembly 2018, April 11, 2018,

Daniel Martin, Stephen Cornford, Antony Payne, Millennial-Scale Vulnerability of the Antarctic Ice Sheet to localized subshelf warm-water forcing, International Symposium on Polar Ice, Polar Climate, Polar Change, August 18, 2017,

Daniel Martin, Xylar Asay-Davis, Stephen Cornford, Stephen Price, Esmond Ng, William Collins, A Tale of Two Forcings: Present-Day Coupled Antarctic Ice-sheet/Southern Ocean dynamics using the POPSICLES model., European Geosciences Union General Assembly 2015, April 16, 2015,

Daniel Martin, Peter O. Schwartz, Esmond G. Ng, Improving Grounding Line Discretization using an Embedded-Boundary Approach in BISICLES, 2015 SIAM Conference on Computational Science and Engineering, March 14, 2015,

Daniel F. Martin, Response of the Antarctic Ice Sheet to Ocean Forcing using the POPSICLES Coupled Ice sheet-ocean model, Joint Land Ice Working Group/Polar Climate Working Group Meeting, Boulder, CO, February 3, 2015,

Daniel Martin, Xylar Asay-Davis, Stephen Price, Stephen Cornford, Esmond Ng, William Collins, Response of the Antarctic ice sheet to ocean forcing using the POPSICLES coupled ice sheet - ocean model, Twenty-first Annual WAIS Workshop, September 25, 2014,


Esmond Ng, Katherine J. Evans, Peter Caldwell, Forrest M. Hoffman, Charles Jackson, Kerstin Van Dam, Ruby Leung, Daniel F. Martin, George Ostrouchov, Raymond Tuminaro, Paul Ullrich, Stefan Wild, Samuel Williams, "Advances in Cross-Cutting Ideas for Computational Climate Science (AXICCS)", January 2017, doi: 10.2172/1341564

M. Adams, P. Colella, D. T. Graves, J.N. Johnson, N.D. Keen, T. J. Ligocki. D. F. Martin. P.W. McCorquodale, D. Modiano. P.O. Schwartz, T.D. Sternberg, B. Van Straalen, "Chombo Software Package for AMR Applications - Design Document", Lawrence Berkeley National Laboratory Technical Report LBNL-6616E, January 9, 2015,

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,


Daniel F. Martin, Steven B. Roberts, Hans Johansen, David J Gardner, Carol S Woodward, "Impacts of improved time evolution in BISICLES using SUNDIALS", December 14, 2023,

Duncan Carpenter, Anjali Sandip, Samuel Kachuck, Daniel Martin, "Does Damaged Ice affect Ice Sheet Evolution?", American Geophysical Union Fall Meeting, December 14, 2023,

Daniel Martin, Samuel Kachuck, Joanna Millstein, Brent Minchew, "Examining the Sensitivity of Ice Sheet Models to Updates in Rheology (n=4)", AGU Fall Meeting, December 15, 2022,

Samuel Benjamin Kachuck, Morgan Whitcomb, Jeremy N Bassis, Daniel F Martin, and Stephen F Price,, "When are (simulations of) ice shelves stable? Stabilizing forces in fracture-permitting models", AGU Fall Meeting, December 16, 2021,

Courtney Shafer, Daniel F Martin and Esmond G Ng, "Comparing the Shallow-Shelf and L1L2 Approximations using BISICLES in the Context of MISMIP+ with Buttressing Effects", AGU Fall Meeting, December 13, 2021,

Hans Johansen, Daniel Martin, Esmond Ng, "High-resolution Treatment of Topography and Grounding Line Dynamics in BISICLES", AGU 2019 Fall Meeting, December 13, 2019,

Daniel F. Martin, James Parkinson, Andrew Wells, Richard Katz, "3D convection, phase change, and solute transport in mushy sea ice", AGU 2019 Fall Meeting, December 12, 2019,

Samuel Kachuck, Daniel Martin, Jeremy Bassis, Stephen Price, "Rapid viscoelastic deformation slows marine ice sheet instability at Pine Island Glacier", AGU 2019 Fall Meeting, December 10, 2019,

Chaincy Kuo, Daniel Feldman, Daniel Martin, "Quantification of seasonal heat retention by sea-ice: calculations from analytic surface-energy balance", AGU Fall Meeting 2019, December 9, 2019,

D.F. Martin, H.S. Johansen, P.O. Schwartz, E.G. Ng, "Improved Discretization of Grounding Lines and Calving Fronts using an Embedded-Boundary Approach in BISICLES", European Geosciences Union General Assembly, April 10, 2019,

Daniel F Martin, Xylar Asay-Davis, Jan De Rydt,, "Sensitivity of Ice-Ocean coupling to interactions with subglacial hydrology", AGU 2018 Ocean Sciences Meeting,, February 14, 2018,

D.F. Martin, X.S.Asay-Davis, S.F. Price, S.L. Cornford, M. Maltrud, E.G. Ng, W.D. Collins, "Response of the Antarctic ice sheet to ocean forcing using the POPSICLES coupled ice sheet-ocean model", AmericanGeophysical Union Fall Meeting, December 17, 2014,

E.G. Ng, D.F. Martin, X. S. Asay-Davis , S.F. Price , W.D. Collins, "High-resolution coupled ice sheet-ocean modeling using the POPSICLES model", American Geophysical Union Fall Meeting, December 17, 2014,