Fetching the paper…
Reading the bibliography…
In high-speed flow past a normal shock, the fluid temperature rises rapidly triggering downstream chemical dissociation reactions.
DeepXDE: A deep learning library for solving differential equations
L. Lu, X. Meng, Z. Mao, and G. E. Karniadakis · 1907
Earlier work this paper cites.
L. Lu, P. Jin, and G. E. Karniadakis · 1910
Earlier work this paper cites.
Approximation by superpositions of a sigmoidal function
G. Cybenko · 1992
Earlier work this paper cites.
Approximations of continuous functionals by neural networks with application to dynamic systems
T. Chen and H. Chen · 1993
Earlier work this paper cites.
Weighted essentially non-oscillatory schemes
X.-D. Liu, S. Osher, T. Chan, et al · 1994
Earlier work this paper cites.
Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems
T. Chen and H. Chen · 1995
Earlier work this paper cites.
A semi-implicit numerical scheme for reacting flow: I. stiff chemistry
H. N. Najm, P. S. Wyckoff, and O. M. Knio · 1998
Earlier work this paper cites.
Numerical simulation of laminar reacting flows with complex chemistry
M. S. Day and J. B. Bell · 2000
Earlier work this paper cites.
Conservative high-order finite-difference schemes for low-Mach number flows
F. Nicoud · 2000
Earlier work this paper cites.
A robust high-order method for large eddy simulation
S. Nagarajan, S. K. Lele, and J. H. Ferziger · 2003
Earlier work this paper cites.
Impact of detailed chemistry and transport models on turbulent combustion simulations
R. Hilbert, F. Tap, H. El-Rabii, and D. Thévenin · 2004
Earlier work this paper cites.
Transport algorithms for partially ionized and unmagnetized plasmas
T. E. Magin and G. Degrez · 2004
Earlier work this paper cites.
Shock/shock and shock/boundary-layer interactions in two-body configurations
K. Kitamura, I. Men’shov, and Y. Nakamura · 2005
Cited alongside, same era.
Modeling low Mach number reacting flow with detailed chemistry and transport
H. N. Najm and O. M. Knio · 2005
Cited alongside, same era.
Verification of a fluid-dynamics solver using correlations with linear stability results
G. Matheou, C. Pantano, and P. E. Dimotakis · 2008
Cited alongside, same era.
Procedure to validate direct numerical simulations of wall-bounded turbulence including finite-rate reactions
L. Duan and M. P. Martín · 2009
Cited alongside, same era.
High-order shock-fitting methods for direct numerical simulation of hypersonic flow with chemical and thermal nonequilibrium
A. Prakash, N. Parsons, X. Wang, and X. Zhong · 2011
Cited alongside, same era.
Learning functionals via LSTM neural networks for predicting vessel dynamics in extreme sea states
J. del Águila Ferrandis, M. Triantafyllou, C. Chryssostomidis, and G. Karniadakis · 2019
Later among the works it cites.
Nonlinearly most dangerous disturbance for high-speed boundary-layer transition
R. Jahanbakhshi and T. A. Zaki · 2019
Later among the works it cites.
Kriging-enhanced ensemble variational data assimilation for scalar-source identification in turbulent environments
V. Mons, Q. Wang, and T. A. Zaki · 2019
Later among the works it cites.
NVIDIA CEO talk, SC’19, 44th min https://www.youtube.com/watch?v=69neepdejzu
NVIDIA · 2019
Later among the works it cites.
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
M. Raissi, P. Perdikaris, and G. E. Karniadakis · 2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows
W. Wang, H. C. Yee, B. Sjögreen, T. Magin, and C.-W. Shu · 2011
Cited alongside, same era.
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
X. Zhang and C.-W. Shu · 2011
Cited alongside, same era.
Additive semi-implicit Runge–Kutta methods for computing high-speed nonequilibrium reactive flows
X. Zhong · 2011
Cited alongside, same era.
Three-dimensional boundary conditions for numerical simulations of reactive compressible flows with complex thermochemistry
A. Coussement, O. Gicquel, J. Caudal, B. Fiorina, and G. Degrez · 2012
Cited alongside, same era.
Spectral/hp element methods for computational fluid dynamics
G. Karniadakis and S. Sherwin · 2013
Cited alongside, same era.
A method for the direct numerical simulation of hypersonic boundary-layer instability with finite-rate chemistry
O. Marxen, T. E. Magin, E. S. Shaqfeh, and G. Iaccarino · 2013
Cited alongside, same era.
Sensitivity of high-speed boundary-layer stability to base-flow distortion
J. Park and T. A. Zaki · 2018
Cited alongside, same era.
Discrete adjoint of fractional-step incompressible Navier-Stokes solver in curvilinear coordinates and application to data assimilation
M. Wang, Q. Wang, and T. A. Zaki · 2019
Later among the works it cites.
Spatial reconstruction of steady scalar sources from remote measurements in turbulent flow
Q. Wang, Y. Hasegawa, and T. A. Zaki · 2019
Later among the works it cites.
Observation-infused simulations of high-speed boundary layer transition
D. A. Buchta and T. A. Zaki · 2020
Closest in time.
Physics-informed neural networks for high-speed flows
Z. Mao, A. D. Jagtap, and G. E. Karniadakis · 2020
Closest in time.
Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations
M. Raissi, A. Yazdani, and G. E. Karniadakis · 2020
Closest in time.
Parabolized stability analysis of chemically reacting boundary-layer flows in equilibrium conditions
L. Zanus, F. M. Miró, and F. Pinna · 2020
Closest in time.