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Dan Graves

Dan Graves (Full-time)
Phone: +1 510 486 8697
Fax: +1 510 486 6900

Dr. Daniel Graves received his BS from the University  of New Hampshire in 1989.  He received his Ph.D. from the University of California, Berkeley in 1996.  Both degrees were in Mechanical Engineering.  He has been a research scientist at Lawrence Berkeley National Laboratory since 1997.  He is a senior member of the Applied Numerical Algorithms Group.

His research is in the area of numerical methods for partial differential equations, with contributions in the areas of adaptive mesh refinement, Cartesian grid embedded boundary methods, massively parallel computation and library design for scientific computing.  He has contributed significantly in algorithms for incompressible flow, shock physics, viscoelastic flows and elliptic solvers for magneto-hydrodynamics.

Journal Articles

Anshu Dubey, Ann Almgren, John Bell, Martin Berzins, Steve Brandt, Greg Bryan, Phillip Colella, Daniel Graves, Michael Lijewski, Frank Löffler, Brian O’Shea, Erik Schnetter, Brian Van Straalen, Klaus Weide, "A Survey of High Level Frameworks in Block-Structured Adaptive Mesh Refinement Packages", Journal of Parallel and Distributed Computing, 2014, doi: http://dx.doi.org/10.1016/j.jpdc.2014.07.001

Daniel T. Graves, Phillip Colella, David Modiano, Jeffrey Johnson, Bjorn Sjogreen, Xinfeng Gao, "A Cartesian Grid Embedded Boundary Method for the Compressible Navier Stokes Equations", Communications in Applied Mathematics and Computational Science, December 23, 2013,

In this paper, we present an unsplit method for the time-dependent
  compressible Navier-Stokes equations in two and three dimensions.
  We use a a conservative, second-order Godunov algorithm.
  We use a Cartesian grid, embedded boundary method to resolve complex
  boundaries.  We solve for viscous and conductive terms with a
  second-order semi-implicit algorithm.  We demonstrate second-order
  accuracy in solutions of smooth problems in smooth geometries and
  demonstrate robust behavior for strongly discontinuous initial
  conditions in complex geometries.

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,

R.K. Crockett, P. Colella, and D.T. Graves, "A Cartesian Grid Embedded Boundary Method for Solving the Poisson and Heat Equations with Discontinuous Coefficients in Three Dimensions", Journal of Computational Physics , 230(7):2451-2469, 2010,

A. Nonaka, D. Trebotich, G. H. Miller, D. T. Graves, and P. Colella, "A Higher-Order Upwind Method for Viscoelastic Flow", Comm. App. Math. and Comp. Sci., 4(1):57-83, 2009,

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,

D. T. Graves, D Trebotich, G. H. Miller, P. Colella, "An Efficient Solver for the Equations of Resistive MHD with Spatially-Varying Resistivity", Journal of Computational Physics Vol 227 (2008) pp.4797-4804., 2008,

Colella, P., Graves, D.T., Keen, B.J., Modiano, D., "A Cartesian Grid Embedded Boundary Method for Hyperbolic Conservation Laws", Journal of Computational Physics. Vol. 211 (2006), pp. 347-366., 2006, LBNL 56420,

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,

Conference Papers

Gunther H. Weber, Hans Johansen, Daniel T. Graves, Terry J. Ligocki, "Simulating Urban Environments for Energy Analysis", Proceedings Visualization in Environmental Sciences (EnvirVis), 2014, LBNL LBNL-6652E,

C. Shen, D. Trebotich, S. Molins, D. T. Graves, B. Van Straalen, T. Ligocki and C. I. Steefel, "High Performance Computations of Subsurface Reactive Transport Processes at the Pore Scale", Journal of Physics: Conference Series, Proceedings of SciDAC 2011, 2011,

B. Van Straalen, P. Colella, D. T. Graves, N. Keen, "Petascale Block-Structured AMR Applications Without Distributed Meta-data", Euro-Par 2011 Parallel Processing - 17th International Conference, Euro-Par 2011, August 29 - September 2, 2011, Proceedings, Part II. Lecture Notes in Computer Science 6853 Springer 2011, ISBN 978-3-642-23396-8, Bordeaux, France, 2011,

E. Ateljevich, P. Colella, D.T. Graves, T.J. Ligocki, J. Percelay, P.O. Schwartz, Q. Shu, "CFD Modeling in the San Francisco Bay and Delta", 2009 Proceedings of the Fourth SIAM Conference on Mathematics for Industry (MI09), pp. 99-107, 2010,

P. Colella, D. Graves, T. Ligocki, D. Trebotich and B.V. Straalen, "Embedded Boundary Algorithms and Software for Partial Differential Equations", 2008 J. Phys.: Conf. Ser. 125 012084, 2008,

D. Trebotich, B.V. Straalen, D. Graves and P. Colella, "Performance of Embedded Boundary Methods for CFD with Complex Geometry", 2008 J. Phys.: Conf. Ser. 125 012083, 2008,

Colella, P., Graves, D.T., Modiano, D., Puckett, E.G., Sussman, M., "An Embedded Boundary / Volume of Fluid Method for Free Surface Flows in Irregular Geometries", ASME Paper FEDSM99-7108, in Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference, 18-23 July, San Francisco, CA, 1999,


Colella, P., Graves, D.T., Greenough, J.A., "A Second-Order Method for Interface Recontruction in Orthogonal Coordinate Systems", January 2002, LBNL 45244,


An Approximate Projection Method Suitable for the Modeling of Rapidly Rotating Flows, Graves, D.T., 1996,