Journal of Computational Physics

Article	Citations
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations	391
B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data	362
When and why PINNs fail to train: A neural tangent kernel perspective	280
PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain	210
A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems	155
RANS turbulence model development using CFD-driven machine learning	144
Weak adversarial networks for high-dimensional partial differential equations	133
Parallel physics-informed neural networks via domain decomposition	128
Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning	103
Data-driven POD-Galerkin reduced order model for turbulent flows	102
Transfer learning based multi-fidelity physics informed deep neural network	93
DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks	93
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations	90
Physics-informed machine learning for reduced-order modeling of nonlinear problems	88
Direct shape optimization through deep reinforcement learning	88
Learning constitutive relations from indirect observations using deep neural networks	87
A multi-resolution SPH method for fluid-structure interactions	85
Deep learning observables in computational fluid dynamics	84
Physics-informed neural networks for inverse problems in supersonic flows	84
Data-driven deep learning of partial differential equations in modal space	83
A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations	80
A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel	77
Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation	74
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons	71
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism	69

Weak SINDy for partial differential equations	69
Multi-fidelity Bayesian neural networks: Algorithms and applications	67
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications	67
An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries	67
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation	67
Learning constitutive relations using symmetric positive definite neural networks	66
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows	65
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions	64
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder	63
DPM: A deep learning PDE augmentation method with application to large-eddy simulation	61
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators	60
Adaptive multidimensional integration: vegas enhanced	60
A generalized approximate control variate framework for multifidelity uncertainty quantification	52
The lattice Boltzmann method for nearly incompressible flows	52
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm	50
A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems	50
Arbitrarily high-order linear energy stable schemes for gradient flow models	49
The mixed Deep Energy Method for resolving concentration features in finite strain hyperelasticity	49
Thermodynamically consistent physics-informed neural networks for hyperbolic systems	49
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice	49
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data	49
Atomic cluster expansion: Completeness, efficiency and stability	48
Unstructured un-split geometrical Volume-of-Fluid methods – A review	47
Theory-guided hard constraint projection (HCP): A knowledge-based data-driven scientific machine learning method	46
DeepMoD: Deep learning for model discovery in noisy data	46
Data-driven surrogate model with latent data assimilation: Application to wildfire forecasting	46
An immersed boundary fluid–structure interaction method for thin, highly compliant shell structures	45
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation	45
Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing	44
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method	44
Calibrate, emulate, sample	43
Solving and learning nonlinear PDEs with Gaussian processes	43
Gradient-based constrained optimization using a database of linear reduced-order models	42
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds	41
A conservative diffuse-interface method for compressible two-phase flows	41
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs	41
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance	41
A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks	41
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method	40
PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries	40
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems	40
Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations	40
Deep learning of free boundary and Stefan problems	40
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations	39
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation	38
Machine learning for prediction with missing dynamics	38
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach	38
Physics-informed semantic inpainting: Application to geostatistical modeling	36
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios	36
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation	36

On an artificial neural network for inverse scattering problems	36
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows	36
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers	36
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters	35
Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems	34
A gradient-based deep neural network model for simulating multiphase flow in porous media	34
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations	34
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism	34
Physics-informed PointNet: A deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries	34
Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning	34
Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks	33
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs	33
4D large scale variational data assimilation of a turbulent flow with a dynamics error model	33
Using deep learning to extend the range of air pollution monitoring and forecasting	33
Optimal design of acoustic metamaterial cloaks under uncertainty	33
Self-adaptive physics-informed neural networks	33
Physics-informed neural networks for the shallow-water equations on the sphere	33
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model	32
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction	32
A resolved CFD-DEM coupling model for modeling two-phase fluids interaction with irregularly shaped particles	32
Meta-learning PINN loss functions	32
A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory	32
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition	32
A geometric VOF method for interface resolved phase change and conservative thermal energy advection	32
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics	31
Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows	31
Analysis and reduction of spurious noise generated at grid refinement interfaces with the lattice Boltzmann method	31
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations	30
Non-intrusive reduced-order modeling using uncertainty-aware Deep Neural Networks and Proper Orthogonal Decomposition: Application to flood modeling	30
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method	30
Coupling of turbulence wall models and immersed boundaries on Cartesian grids	30
Data driven approximation of parametrized PDEs by reduced basis and neural networks	30
A neural network based shock detection and localization approach for discontinuous Galerkin methods	29
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification	29
Constraint-aware neural networks for Riemann problems	29
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model	29
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization	29
Regularized ensemble Kalman methods for inverse problems	29
An immersed finite element method for elliptic interface problems in three dimensions	29
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations	28
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid	28
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations	28
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation	28
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach	28
Enhanced weakly-compressible MPS method for violent free-surface flows: Role of particle regularization techniques	28
Machine learning for fluid flow reconstruction from limited measurements	28
Structure-preserving neural networks	27
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system	27
A consistent method for direct numerical simulation of droplet evaporation	27
Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models	27
A coupled LBM-DEM method for simulating the multiphase fluid-solid interaction problem	27
MIM: A deep mixed residual method for solving high-order partial differential equations	27
A low-rank method for two-dimensional time-dependent radiation transport calculations	27
A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis	27
An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields	26
Deep reinforcement learning for the control of conjugate heat transfer	26
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation	26
FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions	26
Weak form theory-guided neural network (TgNN-wf) for deep learning of subsurface single- and two-phase flow	25
A POD-Galerkin reduced order model for a LES filtering approach	25
A linear stability analysis of compressible hybrid lattice Boltzmann methods	25
Deep neural network modeling of unknown partial differential equations in nodal space	25
A generalized SAV approach with relaxation for dissipative systems	25
Efficient boundary condition-enforced immersed boundary method for incompressible flows with moving boundaries	25
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature	25
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques	25
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations	25
Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet	25
Quantum algorithm for the collisionless Boltzmann equation	25
A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows	25
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity	24
A new efficient momentum preserving Level-Set/VOF method for high density and momentum ratio incompressible two-phase flows	24
Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation	24
Fractional centered difference scheme for high-dimensional integral fractional Laplacian	24
A high-order accurate meshless method for solution of incompressible fluid flow problems	24
DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations	24
Unified gas-kinetic wave-particle methods III: Multiscale photon transport	24
Solving inverse-PDE problems with physics-aware neural networks	24
An efficient phase-field method for turbulent multiphase flows	24
Inclusion of an acoustic damper term in weakly-compressible SPH models	24

A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies	24
Methods for suspensions of passive and active filaments	24
Bayesian optimization with output-weighted optimal sampling	24
A scalable computational platform for particulate Stokes suspensions	24
Inverse reflector design for a point source and far-field target	23
Physics and equality constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fusion	23
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh	23
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows	23
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains	23
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation	23
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics	23
Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: A computation and data-driven approach	23
A deep learning framework for constitutive modeling based on temporal convolutional network	23
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension	23
Learning functional priors and posteriors from data and physics	23
Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics	23
Entropy stable reduced order modeling of nonlinear conservation laws	23
Solving inverse problems using conditional invertible neural networks	23
A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier–Stokes equations coupled with a heat transfer equation:	23
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and flow solver	22
X-dispersionless Maxwell solver for plasma-based particle acceleration	22
xGFM: Recovering convergence of fluxes in the ghost fluid method	22
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary	22
A derivative-free method for solving elliptic partial differential equations with deep neural networks	22
Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones	22
Preventing spurious pressure oscillations in split convective form discretization for compressible flows	22
Boiling and evaporation model for liquid-gas flows: A sharp and conservative method based on the geometrical VOF approach	22
An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation	22
A physics-informed and hierarchically regularized data-driven model for predicting fluid flow through porous media	22
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations	22
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods	22
SelectNet: Self-paced learning for high-dimensional partial differential equations	21
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation	21
KNOSOS: A fast orbit-averaging neoclassical code for stellarator geometry	21
Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver	21
A hybrid Eulerian-Eulerian/Eulerian-Lagrangian method for dense-to-dilute dispersed phase flows	21
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach	21
Accurate conservative phase-field method for simulation of two-phase flows	21
Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows	21
Application of Gene Expression Programming to a-posteriori LES modeling of a Taylor Green Vortex	21
High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids	21
Data-driven molecular modeling with the generalized Langevin equation	21
An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing	20
Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation	20
Fisher information regularization schemes for Wasserstein gradient flows	20
A level-set method for moving contact lines with contact angle hysteresis	20
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system	20
Analyses and reconstruction of the lattice Boltzmann flux solver	20
Multi-objective CFD-driven development of coupled turbulence closure models	20
Estimation of distributions via multilevel Monte Carlo with stratified sampling	20
Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy	20
A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows	20
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach	20
NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems	20
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations	20
A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions	20
On generalized residual network for deep learning of unknown dynamical systems	20
Physics constrained learning for data-driven inverse modeling from sparse observations	20
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods	19
Data-driven discovery of coarse-grained equations	19
A generalized multiphase modelling approach for multiscale flows	19
Long-time integration of parametric evolution equations with physics-informed DeepONets	19
A well-balanced central-upwind scheme for the thermal rotating shallow water equations	19
Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov–Maxwell solver	19
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources	19
An efficient four-way coupled lattice Boltzmann – discrete element method for fully resolved simulations of particle-laden flows	19
Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach	19
A hybrid particle approach based on the unified stochastic particle Bhatnagar-Gross-Krook and DSMC methods	19
GINNs: Graph-Informed Neural Networks for multiscale physics	19
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws	19
Natural grid stretching for DNS of wall-bounded flows	19
Surrogate and inverse modeling for two-phase flow in porous media via theory-guided convolutional neural network	19
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations	19
Overset meshes for incompressible flows: On preserving accuracy of underlying discretizations	19
A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches	19
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure	19
Feature-based and goal-oriented anisotropic mesh adaptation for RANS applications in aeronautics and aerospace	19
Stochastic physics-informed neural ordinary differential equations	19
Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics	18
A conservative discontinuous Galerkin discretization for the chemically reacting Navier-Stokes equations	18
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity	18
A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations	18
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations	18
A fifth-order low-dissipation discontinuity-resolving TENO scheme for compressible flow simulation	18
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids	18
Variational training of neural network approximations of solution maps for physical models	18
GENE-3D: A global gyrokinetic turbulence code for stellarators	18
Obstacle segmentation based on the wave equation and deep learning	18
A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows	18
A physics-informed diffusion model for high-fidelity flow field reconstruction	18
A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws	18
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation	18
Continuum simulation for regularized non-local μ(I) model of dense granular flows	18
Int-Deep: A deep learning initialized iterative method for nonlinear problems	18
Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function	18