Francis X. Giraldo

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 17

Top Topics

Explicit Or Implicit

Mesh Refinement

Nonlinear Least Squares

Differential Equations

Top Venues

J. Comput. Phys.

Int. J. High Perform. Comput. Appl.

J. Sci. Comput.

Publications

Daniel S. Abdi, Ann Almgren, Francis X. Giraldo, Isidora Jankov
Comparison of adaptive mesh refinement techniques for numerical weather prediction. CoRR (2024)
Francis X. Giraldo, Felipe A. V. de Braganca Alves, James F. Kelly, Soonpil Kang, P. Alex Reinecke
A performance study of horizontally explicit vertically implicit (HEVI) time-integrators for non-hydrostatic atmospheric models. J. Comput. Phys. 515 (2024)
Soonpil Kang, James F. Kelly, Anthony P. Austin, Francis X. Giraldo
Multiscale Modeling Framework using Element-based Galerkin Methods for Moist Atmospheric Limited-Area Simulations. CoRR (2024)
Sohail R. Reddy, Maciej Waruszewski, Felipe A. V. de Braganca Alves, Francis X. Giraldo
Schur complement IMplicit-EXplicit formulations for discontinuous Galerkin non-hydrostatic atmospheric models. J. Comput. Phys. 491 (2023)
Francis X. Giraldo, Felipe Augusto Ventura de Braganca Alves, James F. Kelly, Soonpil Kang, P. Alex Reinecke
A Performance Study of Horizontally Explicit Vertically Implicit (HEVI) Time-Integrators for Non-Hydrostatic Atmospheric Models. CoRR (2023)
James F. Kelly, Sohail Reddy, Francis X. Giraldo, P. Alex Reinecke, John T. Emmert, McArthur Jones, Stephen D. Eckermann
A physics-based open atmosphere boundary condition for height-coordinate atmospheric models. J. Comput. Phys. 482 (2023)
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo
Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity. J. Comput. Phys. 468 (2022)
Sohail Reddy, Maciej Waruszewski, Felipe A. V. de Braganca Alves, Francis X. Giraldo
IMplicit-EXplicit Formulations for Discontinuous Galerkin Non-Hydrostatic Atmospheric Models. CoRR (2022)
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo
Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to Euler with Gravity. CoRR (2021)
Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh
IMEX HDG-DG: A coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. J. Comput. Phys. 401 (2020)
Daniel S. Abdi, Lucas C. Wilcox, Timothy C. Warburton, Francis X. Giraldo
A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model. Int. J. High Perform. Comput. Appl. 33 (1) (2019)
Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. Carr, Lucas C. Wilcox, Timothy C. Warburton
Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors. Int. J. High Perform. Comput. Appl. 33 (2) (2019)
Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo
Strong scaling for numerical weather prediction at petascale with the atmospheric model NUMA. Int. J. High Perform. Comput. Appl. 33 (2) (2019)
Boris Bonev, Jan S. Hesthaven, Francis X. Giraldo, Michal A. Kopera
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. J. Comput. Phys. 362 (2018)
Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems. CoRR (2017)
Daniel S. Abdi, Francis X. Giraldo
Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. J. Comput. Phys. 320 (2016)
L. E. Carr III, C. F. Borges, Francis X. Giraldo
Matrix-Free Polynomial-Based Nonlinear Least Squares Optimized Preconditioning and Its Application to Discontinuous Galerkin Discretizations of the Euler Equations. J. Sci. Comput. 66 (3) (2016)
Simone Marras, Francis X. Giraldo
A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: Application to the simulation of 3D squall lines using spectral elements. J. Comput. Phys. 283 (2015)
Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo
Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA. CoRR (2015)
Simone Marras, Murtazo Nazarov, Francis X. Giraldo
Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. J. Comput. Phys. 301 (2015)
Michal A. Kopera, Francis X. Giraldo
Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. J. Comput. Phys. 297 (2015)
Michal A. Kopera, Francis X. Giraldo
Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. J. Comput. Phys. 275 (2014)
Leonid Yelash, Andreas Müller, Mária Lukácová-Medvid'ová, Francis X. Giraldo, Volkmar Wirth
Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. J. Comput. Phys. 268 (2014)
Andreas Müller, Jörn Behrens, Francis X. Giraldo, Volkmar Wirth
Comparison between adaptive and uniform discontinuous Galerkin simulations in dry 2D bubble experiments. J. Comput. Phys. 235 (2013)
Francis X. Giraldo, James F. Kelly, Emil M. Constantinescu
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA). SIAM J. Sci. Comput. 35 (5) (2013)
James F. Kelly, Francis X. Giraldo
Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode. J. Comput. Phys. 231 (24) (2012)
J. A. Escobar-Vargas, Peter J. Diamessis, Francis X. Giraldo
High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. Appl. Math. Comput. 218 (9) (2012)
Joseph M. Lindquist, Beny Neta, Francis X. Giraldo
High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements. Appl. Math. Comput. 218 (12) (2012)
L. E. Carr III, C. F. Borges, Francis X. Giraldo
An Element-Based Spectrally Optimized Approximate Inverse Preconditioner for the Euler Equations. SIAM J. Sci. Comput. 34 (4) (2012)
Joseph M. Lindquist, Francis X. Giraldo, Beny Neta
Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Appl. Math. Comput. 217 (6) (2010)
Francis X. Giraldo, Marco Restelli, Matthias Läuter
Semi-Implicit Formulations of the Navier--Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling. SIAM J. Sci. Comput. 32 (6) (2010)
Marco Restelli, Francis X. Giraldo
A Conservative Discontinuous Galerkin Semi-Implicit Formulation for the Navier-Stokes Equations in Nonhydrostatic Mesoscale Modeling. SIAM J. Sci. Comput. 31 (3) (2009)
Francis X. Giraldo, Marco Restelli
A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases. J. Comput. Phys. 227 (8) (2008)
Matthias Läuter, Francis X. Giraldo, Dörthe Handorf, Klaus Dethloff
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. J. Comput. Phys. 227 (24) (2008)
Francis X. Giraldo
Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators. Comput. Math. Appl. 52 (8-9) (2006)
Francis X. Giraldo
High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. J. Comput. Phys. 214 (2) (2006)