Nathaniel Trask
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Intercomparison of 3D pore-scale flow and solute transport simulation methods
X Yang, Y Mehmani, WA Perkins, A Pasquali, M Schönherr, K Kim, ...
Advances in water resources 95, 176-189, 2016
Smoothed particle hydrodynamics and its applications for multiphase flow and reactive transport in porous media
AM Tartakovsky, N Trask, K Pan, B Jones, W Pan, JR Williams
Computational Geosciences 20 (4), 807-834, 2016
Diesel spray CFD simulations based on the Σ-Υ Eulerian atomization model
JM Garcia-Oliver, JM Pastor, A Pandal, N Trask, E Baldwin, DP Schmidt
Atomization and Sprays 23 (1), 2013
Multidimensional modeling of condensing two-phase ejector flow
M Colarossi, N Trask, DP Schmidt, MJ Bergander
International journal of refrigeration 35 (2), 290-299, 2012
Compressible modeling of the internal two-phase flow in a gas-centered swirl coaxial fuel injector
N Trask, DP Schmidt, M Lightfoot, S Danczyk
Journal of Propulsion and Power 28 (4), 685-693, 2012
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows
N Trask, M Maxey, K Kim, M Perego, ML Parks, K Yang, J Xu
Computer Methods in Applied Mechanics and Engineering 289, 155-178, 2015
An asymptotically compatible meshfree quadrature rule for non-local problems with applications to peridynamics
N Trask, H You, Y Yu, M Parks
arxiv 1801.04488: preprint submitted to CMAME, 2018
A high-order staggered meshless method for elliptic problems
N Trask, M Perego, P Bochev
SIAM Journal on Scientific Computing 39 (2), A479-A502, 2017
A compatible high-order meshless method for the Stokes equations with applications to suspension flows
N Trask, M Maxey, X Hu
Journal of Computational Physics 355, 310-326, 2018
Robust training and initialization of deep neural networks: An adaptive basis viewpoint
EC Cyr, MA Gulian, RG Patel, M Perego, NA Trask
Mathematical and Scientific Machine Learning, 512-536, 2020
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach
BJ Gross, N Trask, P Kuberry, PJ Atzberger
Journal of Computational Physics 409, 109340, 2020
GMLS-Nets: A framework for learning from unstructured data
N Trask, RG Patel, BJ Gross, PJ Atzberger
arXiv preprint arXiv:1909.05371, 2019
Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations
N Trask, M Maxey, X Hu
Journal of Computational Physics 326, 596-611, 2016
Data-driven learning of robust nonlocal physics from high-fidelity synthetic data
H You, Y Yu, N Trask, M Gulian, M D'Elia
arXiv preprint arXiv:2005.10076, 2020
Implementation of an eulerian atomization model to characterize primary spray formation
NA Trask
Masters Theses, 434, 2010
A spatially adaptive high-order meshless method for fluid–structure interactions
W Hu, N Trask, X Hu, W Pan
Computer Methods in Applied Mechanics and Engineering 355, 67-93, 2019
Modeling of the internal two-phase flow in a gas-centered swirl coaxial fuel injector
N Trask, JB Perot, D Schmidt, M Lightfoot, S Danczyk, T Meyer
48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and …, 2010
A conservative, consistent, and scalable meshfree mimetic method
N Trask, P Bochev, M Perego
Journal of Computational Physics 409, 109187, 2020
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
H You, XY Lu, N Task, Y Yu
ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 1373-1413, 2020
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion
Y Leng, X Tian, N Trask, JT Foster
SIAM Journal on Numerical Analysis 59 (1), 88-118, 2021
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