PUBLICATIONS

2022

  •  Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, and Mark H. Carpenter, "Provably stable flux reconstruction high-order methods on curvilinear elements", (arxiv; Pre-print; Accepted in Journal of Computational Physics, April 2022).

  • Alexander Cicchino, David C. Del Rey Fernández, and Siva Nadarajah, "Nonlinearly stable flux reconstruction high-order methods in split form", (arxiv; Accepted in Journal of Computational Physics, February 2022).

2021

  • Jesse Chan, Mario Bencomo, and David C. Del Rey Fernández, "Mortar-Based Entropy-Stable Discontinuous Galerkin
    Methods on Non-Conforming Quadrilateral and Hexahedral Meshes", (Journal; arxiv) Journal of Scientific Computing, Vol. 89, 2021.

  • Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C. Del Rey Fernández, Hendrik Ranocha, David E. Keyes, and Matteo Parsani, "On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations", (Journal; arxiv) Journal of Computational Physics, Vol. 426, 2021.

  • Matteo Parsani, Radouan Boukharfane, Irving Reyna Nolasco, David C. Del Rey Fernández, Stefano Zampini, Bilel Hadri, and Lisandro Dalcin, "High-order accurate entropy stable discontinuous collocated  methods for the next generation of compressible CFD frameworks: Scalable SSDC algorithms and flow solver", (Journal) Journal of Computational Physics, Vol. 424, 2021.

2020

  • David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcin, Lucas Friedrich, Digeo Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, and Matteo Parsani, "Entropy stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations", (Journal) Computers & Fluids, Vol. 210, 2020.

  • Irving Reyna Nolasco, Lisandro Dalcin, David C. Del Rey Fernández, Stefano Zampini, and Matteo Parsani, "Optimized geometrical metrics satisfying free-stream preservation", (Journal; arxiv) Computers & Fluids, Vol. 207, 2020.

  • David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcin, Stefano Zampini, and Matteo Parsani, "Entropy stable h/p-nonconforming discretizations with the summation-by-parts property for the Compressible Euler and Navier-Stokes equations", (Journal; arxiv) SN Partial Differential Equations and Applications, Vol. 1, No. 2,  2020.

2019

  • Nail K. Yamaleev, David C.\ Del Rey Fernández, Jialin Lou, and Mark H. Carpenter, "Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids", (Journal; arxiv) Journal of Computational Physics, Vol. 399, 2019.

  • Jesse Chan, David C. Del Rey Fernández, and Mark H. Carpenter, "Efficient entropy stable gauss collocation methods", (Journal; arxiv) SIAM Journal on Scientific Computing, Vol. 41, No. 5, 2019, pp. A2938-A2966.

  • David C. Del Rey Fernández, Pieter D. Boom, Mark H. Carpenter, and David W. Zingg, "Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates", (Journal; Pre-print) Journal of Scientific Computing, Vol. 80, No. 3, 2019, pp. 1957-1996.

  • Lisandro Dalcin, Diego B. Rojas, Stefano Zampini, David C. Del Rey Fernández, Mark H. Carpenter, and Matteo Parsani, "Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer", (Journal; arxiv) Journal of Computational Physics, Vol. 397, 2019.

  • David C. Del Rey Fernández, Jared Crean, Mark H. Carpenter, and Jason E. Hicken, "Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates'", (Journal) Journal of Computational Physics, Vol. 392, No. 1, 2019, pp. 161-186.

  • Lucas Friedrich, Gero Schnucke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, and Mark H. Carpenter, "Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws", (Journal; arxiv) Journal of Scientific Computing, Vol. 80, No. 1, 2019, pp. 175-222.

  • Longfei Gao, David C. Del Rey Fernández, Mark H. Carpenter, and David Keyes, "SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids", (Journal; arxiv) Journal of Computational and Applied Mathematics, Vol. 348, No. 1, 2019, pp. 421-444.

2018

  • Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, and Mark H. Carpenter, "An entropy stable h/p non-conforming discontinuous Galerkin method with the summation-by-parts property", (Journal; arxiv) Journal of Scientific Computing, Vol. 77, No. 2, 2018, pp. 689-725.

  • Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, Mark H. Carpenter, and David W. Zingg, "Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements", (Journal; Pre-print) Journal of Computational Physics, Vol. 356, No. 1, 2018, pp. 410-438.

  • Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, and Jason E. Hicken, "Conservative and stable degree preserving SBP finite-difference operators for non-conforming meshes", (Journal; Pre-print) Journal of Scientific Computing, Vol. 75, No. 2, 2018, pp. 657-686.

  • David C. Del Rey Fernández, Jason E. Hicken, and David W. Zingg, "Simultaneous approximation terms for multi-dimensional summation-by-parts operators", (Journal; Pre-print) Journal of Scientific Computing, Vol. 75, No. 1, 2018, pp. 83-110.

2017

  • David C. Del Rey Fernández, Pieter D. Boom, and David W. Zingg, "Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy", (Journal; Pre-print) Journal of Computational Physics,
    Vol. 330, No. 1, 2017, pp. 902-923.

2016

  • Jason E. Hicken, David C. Del Rey Fernández, and David W. Zingg, "Multidimensional summation-by-parts operators: General theory and application to simplex elements", (Journal; Pre-print) SIAM Journal on Scientific Computing, Vol. 28, No. 4, 2016, pp.  A1935-A1958.

2015

  • David C. Del Rey Fernández and David W. Zingg, "Generalized summation-by-parts operators for the second derivative with a variable coefficient", (Journal; Pre-print) SIAM Journal on Scientific Computing, Vol. 36, No. 6, 2015, pp. A2840-A2864.

2014

  • David C. Del Rey Fernández, Pieter D. Boom, and David W. Zingg, "A generalized framework for nodal first derivative summation-by-parts operators'', (Journal) Journal of Computational Physics, Vol. 266, No. 1, 2014, pp.  214-239.

  • David C. Del Rey Fernández, Jason E. Hicken, and David W. Zingg, "Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations", (Journal; Pre-print) Computers & Fluids, Vol. 95, No. 22, 2014, pp. 171-196.

2011

  • David C. Del Rey Fernández, Syed Z. Husain, and Jerzy M. Floryan, "Immersed boundary conditions method for heat conduction problems in slots with time-dependent geometry",  (Journal) The International Journal for Numerical Methods in Fluids, Vol. 67, No. 4, 2011, pp. 478-500.

2009

  • Nathan Bluvol, Anat Kornecki, Allison Shaikh, David C. Del Rey Fernández, Donald H. Taves, and Aaron Fenster, "Freehand versus guided breast biopsy: Comparison of accuracy, needle motion, and biopsy time in a tissue model", (Journal) American Journal of Roentgenology, Vol. 192, No. 6, 2009, pp. 1720-1725.

2008

  • Nathan Bluvol, Allison Shaikh, Anat Kornecki, David Del C. Rey Fernández, Donal Downey, and Aaron Fenster, "A needle guidance system for biopsy and therapy using two-dimensional ultrasound", (Journal) Medical Physics, Vol. 35, No. 2, 2008, pp. 617-628.