High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. - Gustaaf B. Jacobs; Jan S. Hesthaven (J. Comput. Phys., 2006)

A Conservative Isothermal Wall Boundary Condition for the Compressible Navier-Stokes Equations. - Gustaaf B. Jacobs; David A. Kopriva; Farzad Mashayek (J. Sci. Comput., 2007)

Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning. - Gustaaf B. Jacobs; Jan S. Hesthaven (Comput. Phys. Commun., 2009)

A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks. - Gustaaf B. Jacobs; Wai-Sun Don (J. Comput. Phys., 2009)

A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws. - Jean-Piero Suarez; Gustaaf B. Jacobs; Wai-Sun Don (SIAM J. Sci. Comput., 2014)

DG-FTLE: Lagrangian coherent structures with high-order discontinuous-Galerkin methods. - Daniel A. Nelson; Gustaaf B. Jacobs (J. Comput. Phys., 2015)

Evaluation of convergence behavior of metamodeling techniques for bridging scales in multi-scale multimaterial simulation. - Oishik Sen; Sean Davis; Gustaaf Jacobs; H. S. Udaykumar (J. Comput. Phys., 2015)

Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows. - Arnab Chaudhuri; Gustaaf B. Jacobs; Wai-Sun Don; H. Abbassi; Farzad Mashayek (J. Comput. Phys., 2017)

Evaluation of kriging based surrogate models constructed from mesoscale computations of shock interaction with particles. - Oishik Sen; Nicholas J. Gaul; K. K. Choi; Gustaaf Jacobs; H. S. Udaykumar (J. Comput. Phys., 2017)

Regularization of Singularities in the Weighted Summation of Dirac-Delta Functions for the Spectral Solution of Hyperbolic Conservation Laws. - Jean-Piero Suarez; Gustaaf B. Jacobs (J. Sci. Comput., 2017)

Evaluation of multifidelity surrogate modeling techniques to construct closure laws for drag in shock-particle interactions. - Oishik Sen; Nicholas J. Gaul; K. K. Choi; Gustaaf Jacobs; H. S. Udaykumar (J. Comput. Phys., 2018)

Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels. - B. W. Wissink; Gustaaf B. Jacobs; Jennifer K. Ryan; Wai-Sun Don; E. T. A. van der Weide (J. Sci. Comput., 2018)

An explicit semi-Lagrangian, spectral method for solution of Lagrangian transport equations in Eulerian-Lagrangian formulations. - Hareshram Natarajan; Gustaaf B. Jacobs (CoRR, 2019)

Two-way coupled Cloud-In-Cell modeling of non-isothermal particle-laden flows: A Subgrid Particle-Averaged Reynolds Stress-Equivalent (SPARSE) formulation. - Søren Taverniers; H. S. Udaykumar; Gustaaf B. Jacobs (J. Comput. Phys., 2019)

Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods. - Marvin Bohm; Sven Schermeng; Andrew R. Winters; Gregor J. Gassner; Gustaaf B. Jacobs (J. Sci. Comput., 2019)

Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method. - Gustaaf B. Jacobs; Hareshram Natarajan; Pavel Popov; David A. Kopriva (CoRR, 2022)

High-order Lagrangian algorithms for Liouville models of particle-laden flows. - Daniel Domínguez-Vázquez; Sergio A. Castiblanco-Ballesteros; Gustaaf B. Jacobs; Daniel M. Tartakovsky (J. Comput. Phys., 2024)