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Terry Ligocki

Terry J. Ligocki
Computer Systems Engineer
Phone: +1 510 486 6140
Fax: +1 510 486 6900

Terry has been a core developer of the Chombo library for numerically solving PDE using adaptive mesh refinement techniques since he joined the Applied Numerical Algorithms Group, ANAG, at LBNL in 2001.  He has focused on the embedded boundary aspects of the Chombo library.  Specifically, embedded boundary generation from implicitly defined volumes created using constructive solid geometry.  His research interests include computational geometry, finite volume numerical algorithms, and transforming complex algorithms for large scale computing.  He was a member of APDEC for SciDAC and SciDAC 2 and is currently a member of FASTMath for SciDAC 3.


  • ICIAM 2003 (July 8, 2003) - Cartesian Grid Embedded Boundary Methods for Solving Applied PDEs (PDF)
  • IPAM Talk (March 28, 2005) - Hyperbolic Conservation Laws and Visualization and Data Analysis In Chombo (PDF)
  • IPDPS 2009 (May 28, 2009) - Scalability Challenges for Massively Parallel AMR Applications (PDF)

Mathematical Musings

Journal Articles

Dharshi Devendran, Daniel T. Graves, Hans Johansen,Terry Ligocki, "A Fourth Order Cartesian Grid Embedded Boundary Method for Poisson's Equation", Communications in Applied Mathematics and Computational Science, edited by Silvio Levy, May 12, 2017, 12:51-79, doi: DOI 10.2140/camcos.2017.12.51

Peter Schwartz, Julie Percelay, Terry J. Ligocki, Hans Johansen, Daniel T. Graves, Dharshi Devendran, Phillip Colella, Eli Ateljevich, "High-accuracy embedded boundary grid generation using the divergence theorem", Communications in Applied Mathematics and Computational Science 10-1 (2015), 83--96. DOI 10.2140/camcos.2015.10.83, March 31, 2015,


Sergi Molins, David Trebotich, Li Yang, Jonathan B. Ajo-Franklin, Terry J. Ligocki, Chaopeng Shen and Carl Steefel, "Pore-Scale Controls on Calcite Dissolution Rates from Flow-through Laboratory and Numerical Experiments", Environmental Science and Technology, May 27, 2014, 48:7453-7460, doi: 10.1021/es5013438

Schwartz, P., Barad, M., Colella, P., Ligocki, T.J., "A Cartesian Grid Embedded Boundary Method for the Heat Equation and Poisson's Equation in Three Dimensions", Journal of Computational Physics. Vol. 211 (2006), pp. 531-550., 2006, LBNL 56607,

Conference Papers

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,

Yu Jung Lo, Samuel Williams, Brian Van Straalen, Terry J. Ligocki, Matthew J. Cordery, Leonid Oliker, Mary W. Hall, "Roofline Model Toolkit: A Practical Tool for Architectural and Program Analysis", Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS), November 2014, doi: 10.1007/978-3-319-17248-4_7

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 6652E,

Chaopeng Shen, David Trebotich, Sergi Molins, Daniel T Graves, BV Straalen, DT Graves, T Ligocki, CI Steefel, "High performance computations of subsurface reactive transport processes at the pore scale", Proceedings of SciDAC, 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,

B.V. Straalen, J. Shalf, T. Ligocki, N. Keen, and W. Yang, "Scalability Challenges for Massively Parallel AMR Application", 23rd IEEE International Symposium on Parallel and Distributed Processing, 2009., 2009,

Brian van Straalen, Shalf, J. Ligocki, Keen, Woo-Sun Yang, "Scalability challenges for massively parallel AMR applications", IPDPS, 2009, 1-12,

G.H. Weber, V. Beckner, H. Childs, T. Ligocki, M. Miller, B. van Straalen, E.W. Bethel, "Visualization of Scalar Adaptive Mesh Refinement Data", Numerical Modeling of Space Plasma Flows: Astronum-2007 (Astronomical Society of the Pacific Conference Series), April 2008, 385:309-320, LBNL 220E,

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,

T.J. Ligocki, P.O. Schwartz, J. Percelay, P. Colella, "Embedded Boundary Grid Generation using the Divergence Theorem, Implicit Functions, and Constructive Solid Geometry", 2008 J. Phys.: Conf. Ser. 125 012080, 2008,

Phillip Colella, John Bell, Noel Keen, Terry Ligocki, Michael Lijewski, Brian van Straalen, "Performance and Scaling of Locally-Structured Grid Methods for Partial Differential Equations", presented at SciDAC 2007 Annual Meeting, 2007,


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,

P. Colella, D. T. Graves, T. J. Ligocki, G.H. Miller , D. Modiano, P.O. Schwartz, B. Van Straalen, J. Pillod, D. Trebotich, M. Barad, "EBChombo Software Package for Cartesian Grid, Embedded Boundary Applications", Lawrence Berkeley National Laboratory Technical Report LBNL-6615E, January 9, 2015,

Brian Van Straalen, David Trebotich, Terry Ligocki, Daniel T. Graves, Phillip Colella, Michael Barad, "An Adaptive Cartesian Grid Embedded Boundary Method for the Incompressible Navier Stokes Equations in Complex Geometry", LBNL Report Number: LBNL-1003767, 2012, LBNL LBNL Report Numb,

We present a second-order accurate projection method to solve the
  incompressible Navier-Stokes equations on irregular domains in two
  and three dimensions.  We use a finite-volume discretization
  obtained from intersecting the irregular domain boundary with a
  Cartesian grid.  We address the small-cell stability problem
  associated with such methods by hybridizing a conservative
  discretization of the advective terms with a stable, nonconservative
  discretization at irregular control volumes, and redistributing the
  difference to nearby cells.  Our projection is based upon a
  finite-volume discretization of Poisson's equation.  We use a
  second-order, $L^\infty$-stable algorithm to advance in time.  Block
  structured local refinement is applied in space.  The resulting
  method is second-order accurate in $L^1$ for smooth problems.  We
  demonstrate the method on benchmark problems for flow past a
  cylinder in 2D and a sphere in 3D as well as flows in 3D geometries
  obtained from image data.

M. Christen, N. Keen, T. Ligocki, L. Oliker, J. Shalf, B. van Straalen, S. Williams, "Automatic Thread-Level Parallelization in the Chombo AMR Library", LBNL Technical Report, 2011, LBNL 5109E,


Gunther H. Weber, Oliver Kreylos, Terry J. Ligocki, Jonh Shalf, Hans Hagen, Bernd Hamann, Ken I. Joy, Kwan-Liu Ma, High-quality Volume Rendering of Adaptive Mesh Refinement Data, VMV, Pages: 121-128 2001,