Journal of Computational Physics

Article	Citations
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations	379
B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data	347
When and why PINNs fail to train: A neural tangent kernel perspective	265
PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain	202
A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems	149
RANS turbulence model development using CFD-driven machine learning	136
Weak adversarial networks for high-dimensional partial differential equations	132
Parallel physics-informed neural networks via domain decomposition	121
Data-driven POD-Galerkin reduced order model for turbulent flows	102
Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning	100
DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks	90
Transfer learning based multi-fidelity physics informed deep neural network	90
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations	86
Learning constitutive relations from indirect observations using deep neural networks	85
Direct shape optimization through deep reinforcement learning	85
Physics-informed machine learning for reduced-order modeling of nonlinear problems	83
Deep learning observables in computational fluid dynamics	83
A multi-resolution SPH method for fluid-structure interactions	82
Data-driven deep learning of partial differential equations in modal space	81
A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel	77
Physics-informed neural networks for inverse problems in supersonic flows	75
A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations	74
Enforcing statistical constraints in generative adversarial networks for modeling chaotic dynamical systems	73
Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation	72
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism	68

Multi-fidelity Bayesian neural networks: Algorithms and applications	66
An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries	65
Weak SINDy for partial differential equations	65
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows	65
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation	65
Learning constitutive relations using symmetric positive definite neural networks	64
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons	64
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications	63
DPM: A deep learning PDE augmentation method with application to large-eddy simulation	60
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder	59
A volume-of-fluid method for interface-resolved simulations of phase-changing two-fluid flows	59
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes	59
Adaptive multidimensional integration: vegas enhanced	58
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions	57
A computational model for nanosecond pulse laser-plasma interactions	57
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators	55
The lattice Boltzmann method for nearly incompressible flows	52
A generalized approximate control variate framework for multifidelity uncertainty quantification	52
Deep unsupervised learning of turbulence for inflow generation at various Reynolds numbers	50
Thermodynamically consistent physics-informed neural networks for hyperbolic systems	49
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice	49
Can we find steady-state solutions to multiscale rarefied gas flows within dozens of iterations?	49
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm	49
Arbitrarily high-order linear energy stable schemes for gradient flow models	48
A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems	47
Atomic cluster expansion: Completeness, efficiency and stability	47
Unstructured un-split geometrical Volume-of-Fluid methods – A review	46
The mixed Deep Energy Method for resolving concentration features in finite strain hyperelasticity	46
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data	46
DeepMoD: Deep learning for model discovery in noisy data	45
Data-driven surrogate model with latent data assimilation: Application to wildfire forecasting	45
Theory-guided hard constraint projection (HCP): A knowledge-based data-driven scientific machine learning method	44
Solving and learning nonlinear PDEs with Gaussian processes	43
An immersed boundary fluid–structure interaction method for thin, highly compliant shell structures	43
Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing	42
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation	42
Calibrate, emulate, sample	41
A conservative diffuse-interface method for compressible two-phase flows	40
A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks	40
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs	40
Deep learning of free boundary and Stefan problems	39
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method	39
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds	39
Deep multiscale model learning	39
Gradient-based constrained optimization using a database of linear reduced-order models	39
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations	38
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach	38
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance	38
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems	38
Machine learning for prediction with missing dynamics	37

Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations	37
PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries	37
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters	36
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers	36
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows	36
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method	36
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation	36
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation	34
On an artificial neural network for inverse scattering problems	34
Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems	34
Optimal design of acoustic metamaterial cloaks under uncertainty	33
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations	33
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios	33
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism	33
4D large scale variational data assimilation of a turbulent flow with a dynamics error model	33
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition	32
Physics-informed semantic inpainting: Application to geostatistical modeling	32
Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks	32
Physics-informed PointNet: A deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries	32
Meta-learning PINN loss functions	32
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
A geometric VOF method for interface resolved phase change and conservative thermal energy advection	32
A gradient-based deep neural network model for simulating multiphase flow in porous media	32
Using deep learning to extend the range of air pollution monitoring and forecasting	31
A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory	31
Analysis and reduction of spurious noise generated at grid refinement interfaces with the lattice Boltzmann method	31
Consistent, essentially conservative and balanced-force Phase-Field method to model incompressible two-phase flows	31
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics	31
Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning	31
Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows	30
Physics-informed neural networks for the shallow-water equations on the sphere	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
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media	30
A resolved CFD-DEM coupling model for modeling two-phase fluids interaction with irregularly shaped particles	30
Data driven approximation of parametrized PDEs by reduced basis and neural networks	30
A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability	30
Coupling of turbulence wall models and immersed boundaries on Cartesian grids	29
Constraint-aware neural networks for Riemann problems	29
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction	29
An immersed finite element method for elliptic interface problems in three dimensions	29
Arbitrary Lagrangian–Eulerian finite element method for curved and deforming surfaces	29
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model	29
Self-adaptive physics-informed neural networks	29
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations	29
Regularized ensemble Kalman methods for inverse problems	29
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach	28
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid	28
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations	28
Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena	28
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs	28
A neural network based shock detection and localization approach for discontinuous Galerkin methods	28
A consistent method for direct numerical simulation of droplet evaporation	27
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization	27
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations	27
Enhanced weakly-compressible MPS method for violent free-surface flows: Role of particle regularization techniques	27
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification	27
A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis	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
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system	26
Machine learning for fluid flow reconstruction from limited measurements	26
Structure-preserving neural networks	26
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation	25
Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet	25
A linear stability analysis of compressible hybrid lattice Boltzmann methods	25
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes	25
A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows	25
Weak form theory-guided neural network (TgNN-wf) for deep learning of subsurface single- and two-phase flow	25
MIM: A deep mixed residual method for solving high-order partial differential equations	25
An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields	25
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations	25
Efficient boundary condition-enforced immersed boundary method for incompressible flows with moving boundaries	25
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation	25
A new efficient momentum preserving Level-Set/VOF method for high density and momentum ratio incompressible two-phase flows	24
A POD-Galerkin reduced order model for a LES filtering approach	24
Quantum algorithm for the collisionless Boltzmann equation	24
An efficient phase-field method for turbulent multiphase flows	24
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity	24
Unified gas-kinetic wave-particle methods III: Multiscale photon transport	24

A generalized SAV approach with relaxation for dissipative systems	24
Bayesian optimization with output-weighted optimal sampling	24
Solving elliptic interface problems with jump conditions on Cartesian grids	24
A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies	24
A low-rank method for two-dimensional time-dependent radiation transport calculations	24
A three-phase VOF solver for the simulation of in-nozzle cavitation effects on liquid atomization	24
Fractional centered difference scheme for high-dimensional integral fractional Laplacian	24
FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions	24
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation	23
Inverse reflector design for a point source and far-field target	23
Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: A computation and data-driven approach	23
Methods for suspensions of passive and active filaments	23
Solving inverse-PDE problems with physics-aware neural networks	23
Deep reinforcement learning for the control of conjugate heat transfer	23
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques	23
Deep neural network modeling of unknown partial differential equations in nodal space	23
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh	23
Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation	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
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains	23
Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics	23
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics	23
Entropy stable reduced order modeling of nonlinear conservation laws	23
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows	23
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature	23
A scalable computational platform for particulate Stokes suspensions	23
A least-squares particle model with other techniques for 2D viscoelastic fluid/free surface flow	22
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension	22
Learning functional priors and posteriors from data and physics	22
DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations	22
A deep learning framework for constitutive modeling based on temporal convolutional network	22
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations	22
A high-order accurate meshless method for solution of incompressible fluid flow problems	22
Inclusion of an acoustic damper term in weakly-compressible SPH models	22
Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows	22
Preventing spurious pressure oscillations in split convective form discretization for compressible flows	22
Provably optimal parallel transport sweeps on semi-structured grids	22
Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells	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
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
SelectNet: Self-paced learning for high-dimensional partial differential equations	21
A derivative-free method for solving elliptic partial differential equations with deep neural networks	21
A physics-informed and hierarchically regularized data-driven model for predicting fluid flow through porous media	21
A semi-implicit, energy- and charge-conserving particle-in-cell algorithm for the relativistic Vlasov-Maxwell equations	21
High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids	21
X-dispersionless Maxwell solver for plasma-based particle acceleration	21
Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver	21
Application of Gene Expression Programming to a-posteriori LES modeling of a Taylor Green Vortex	21
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach	21
KNOSOS: A fast orbit-averaging neoclassical code for stellarator geometry	21
Data-driven molecular modeling with the generalized Langevin equation	21
Accurate conservative phase-field method for simulation of two-phase flows	21
Solving inverse problems using conditional invertible neural networks	21
Physics and equality constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fusion	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
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach	20
Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows	20
Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation	20
xGFM: Recovering convergence of fluxes in the ghost fluid method	20
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations	20
Estimation of distributions via multilevel Monte Carlo with stratified sampling	20
A level-set method for moving contact lines with contact angle hysteresis	20
Feature-based and goal-oriented anisotropic mesh adaptation for RANS applications in aeronautics and aerospace	19
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources	19
Fisher information regularization schemes for Wasserstein gradient flows	19
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation	19
A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows	19
A generalized multiphase modelling approach for multiscale flows	19
Analyses and reconstruction of the lattice Boltzmann flux solver	19
Multi-objective CFD-driven development of coupled turbulence closure models	19
Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy	19
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods	19
Data-driven discovery of coarse-grained equations	19
Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach	19
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system	19
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure	19
An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing	19
A hybrid Eulerian-Eulerian/Eulerian-Lagrangian method for dense-to-dilute dispersed phase flows	19
An efficient four-way coupled lattice Boltzmann – discrete element method for fully resolved simulations of particle-laden flows	19
Overset meshes for incompressible flows: On preserving accuracy of underlying discretizations	19
Physics constrained learning for data-driven inverse modeling from sparse observations	19
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations	18
A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches	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
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
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary	18
A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows	18
Obstacle segmentation based on the wave equation and deep learning	18
Long-time integration of parametric evolution equations with physics-informed DeepONets	18
A hybrid particle approach based on the unified stochastic particle Bhatnagar-Gross-Krook and DSMC methods	18
Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function	18