Journal of Computational Physics

Article	Citations
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations	485
B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data	468
When and why PINNs fail to train: A neural tangent kernel perspective	388
PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain	262
Parallel physics-informed neural networks via domain decomposition	176
Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning	134
A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations	116
Transfer learning based multi-fidelity physics informed deep neural network	111
Direct shape optimization through deep reinforcement learning	111
Physics-informed neural networks for inverse problems in supersonic flows	111
DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks	110
Physics-informed machine learning for reduced-order modeling of nonlinear problems	108
A multi-resolution SPH method for fluid-structure interactions	108
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons	108
Weak SINDy for partial differential equations	93
Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation	89
Multi-fidelity Bayesian neural networks: Algorithms and applications	85
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder	83
Learning constitutive relations using symmetric positive definite neural networks	80
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications	80
Self-adaptive physics-informed neural networks	80
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation	78
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions	76
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators	75
Adaptive multidimensional integration: vegas enhanced	72

DPM: A deep learning PDE augmentation method with application to large-eddy simulation	70
Thermodynamically consistent physics-informed neural networks for hyperbolic systems	67
Solving and learning nonlinear PDEs with Gaussian processes	65
Theory-guided hard constraint projection (HCP): A knowledge-based data-driven scientific machine learning method	63
The lattice Boltzmann method for nearly incompressible flows	60
Atomic cluster expansion: Completeness, efficiency and stability	59
A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks	59
The mixed Deep Energy Method for resolving concentration features in finite strain hyperelasticity	57
Data-driven surrogate model with latent data assimilation: Application to wildfire forecasting	55
DeepMoD: Deep learning for model discovery in noisy data	53
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method	52
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation	52
Calibrate, emulate, sample	52
PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries	51
Deep learning of free boundary and Stefan problems	51
Unstructured un-split geometrical Volume-of-Fluid methods – A review	51
An immersed boundary fluid–structure interaction method for thin, highly compliant shell structures	50
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios	50
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation	49
Physics-informed PointNet: A deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries	48
Gradient-based constrained optimization using a database of linear reduced-order models	48
Physics-informed neural networks for the shallow-water equations on the sphere	48
Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning	48
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations	48
Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems	47
Meta-learning PINN loss functions	47
Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations	47
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems	47
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs	45
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers	44
A resolved CFD-DEM coupling model for modeling two-phase fluids interaction with irregularly shaped particles	44
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance	44
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations	43
On an artificial neural network for inverse scattering problems	43
DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations	43
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs	43
A geometric VOF method for interface resolved phase change and conservative thermal energy advection	43
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters	41
Machine learning for prediction with missing dynamics	41
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach	39
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism	39
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction	38
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows	38
A gradient-based deep neural network model for simulating multiphase flow in porous media	38
Structure-preserving neural networks	37
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model	37
Machine learning for fluid flow reconstruction from limited measurements	36
A physics-informed diffusion model for high-fidelity flow field reconstruction	36
Optimal design of acoustic metamaterial cloaks under uncertainty	36
MIM: A deep mixed residual method for solving high-order partial differential equations	36

Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows	36
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations	35
Weak form theory-guided neural network (TgNN-wf) for deep learning of subsurface single- and two-phase flow	35
Coupling of turbulence wall models and immersed boundaries on Cartesian grids	35
Fractional centered difference scheme for high-dimensional integral fractional Laplacian	34
Adaptive deep neural networks methods for high-dimensional partial differential equations	34
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model	34
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics	34
Inclusion of an acoustic damper term in weakly-compressible SPH models	33
Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models	33
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations	33
Non-intrusive reduced-order modeling using uncertainty-aware Deep Neural Networks and Proper Orthogonal Decomposition: Application to flood modeling	33
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification	33
A low-rank method for two-dimensional time-dependent radiation transport calculations	33
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid	33
Physics and equality constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fusion	33
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system	33
A neural network based shock detection and localization approach for discontinuous Galerkin methods	33
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation	33
A physics-informed and hierarchically regularized data-driven model for predicting fluid flow through porous media	32
A generalized SAV approach with relaxation for dissipative systems	32
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method	32
Optimal control of PDEs using physics-informed neural networks	32
Deep reinforcement learning for the control of conjugate heat transfer	32
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations	32
Deep neural network modeling of unknown partial differential equations in nodal space	31
A coupled LBM-DEM method for simulating the multiphase fluid-solid interaction problem	31
Learning functional priors and posteriors from data and physics	31
Accurate conservative phase-field method for simulation of two-phase flows	31
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations	31
Multi-objective CFD-driven development of coupled turbulence closure models	31
A POD-Galerkin reduced order model for a LES filtering approach	31
NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems	30
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature	30
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity	30
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization	30
A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows	30
A deep learning framework for constitutive modeling based on temporal convolutional network	30
Long-time integration of parametric evolution equations with physics-informed DeepONets	29
SelectNet: Self-paced learning for high-dimensional partial differential equations	29
Enhanced weakly-compressible MPS method for violent free-surface flows: Role of particle regularization techniques	29
A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis	28
A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows	28
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation	28
On generalized residual network for deep learning of unknown dynamical systems	28
Physics constrained learning for data-driven inverse modeling from sparse observations	28
Methods for suspensions of passive and active filaments	27
Bayesian optimization with output-weighted optimal sampling	27
Efficient boundary condition-enforced immersed boundary method for incompressible flows with moving boundaries	27
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary	27
Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones	27
A linear stability analysis of compressible hybrid lattice Boltzmann methods	27
A high-order accurate meshless method for solution of incompressible fluid flow problems	26
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics	26
Surrogate and inverse modeling for two-phase flow in porous media via theory-guided convolutional neural network	26
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension	26
Preventing spurious pressure oscillations in split convective form discretization for compressible flows	26
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods	26
Boiling and evaporation model for liquid-gas flows: A sharp and conservative method based on the geometrical VOF approach	26
Application of Gene Expression Programming to a-posteriori LES modeling of a Taylor Green Vortex	26
Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation	25
An efficient phase-field method for turbulent multiphase flows	25
Mesh-Conv: Convolution operator with mesh resolution independence for flow field modeling	25
Entropy stable reduced order modeling of nonlinear conservation laws	25
A hybrid Eulerian-Eulerian/Eulerian-Lagrangian method for dense-to-dilute dispersed phase flows	25
Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach	25
A fifth-order low-dissipation discontinuity-resolving TENO scheme for compressible flow simulation	25
Solving inverse problems using conditional invertible neural networks	25
Solving inverse-PDE problems with physics-aware neural networks	25
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:	25
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation	24
Multifidelity modeling for Physics-Informed Neural Networks (PINNs)	24
Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: A computation and data-driven approach	24
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach	24
A locally conservative multiphase level set method for capillary-controlled displacements in porous media	24
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	24
Data-driven discovery of coarse-grained equations	24
A consistent and conservative Phase-Field model for thermo-gas-liquid-solid flows including liquid-solid phase change	24
A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions	24
Iterated Kalman methodology for inverse problems	24

Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation	23
Viscous and hyperviscous filtering for direct and large-eddy simulation	23
Analyses and reconstruction of the lattice Boltzmann flux solver	23
Feature-based and goal-oriented anisotropic mesh adaptation for RANS applications in aeronautics and aerospace	23
Simple computational strategies for more effective physics-informed neural networks modeling of turbulent natural convection	23
A physics-informed convolutional neural network for the simulation and prediction of two-phase Darcy flows in heterogeneous porous media	23
A hybrid particle approach based on the unified stochastic particle Bhatnagar-Gross-Krook and DSMC methods	23
Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics	23
On computing the hyperparameter of extreme learning machines: Algorithm and application to computational PDEs, and comparison with classical and high-order finite elements	23
Natural grid stretching for DNS of wall-bounded flows	23
Stabilized neural ordinary differential equations for long-time forecasting of dynamical systems	23
An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems	23
An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing	23
Stochastic physics-informed neural ordinary differential equations	23
An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation	22
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations	22
Overset meshes for incompressible flows: On preserving accuracy of underlying discretizations	22
High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids	22
Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver	22
A phase-field method for boiling heat transfer	22
A phase field-based systematic multiscale topology optimization method for porous structures design	22
GINNs: Graph-Informed Neural Networks for multiscale physics	22
Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov–Maxwell solver	22
High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics	22
GENE-3D: A global gyrokinetic turbulence code for stellarators	22
An efficient four-way coupled lattice Boltzmann – discrete element method for fully resolved simulations of particle-laden flows	22
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach	22
Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models	22
A novel interface method for two-dimensional multiphase SPH: Interface detection and surface tension formulation	21
An accurate SPH Volume Adaptive Scheme for modeling strongly-compressible multiphase flows. Part 1: Numerical scheme and validations with basic 1D and 2D benchmarks	21
Pore-network modeling of Ostwald ripening in porous media: How do trapped bubbles equilibrate?	21
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods	21
Peridynamics enabled learning partial differential equations	21
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations	21
A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches	21
Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics	21
Periodic boundary conditions for arbitrary deformations in molecular dynamics simulations	21
A fully well-balanced scheme for the 1D blood flow equations with friction source term	21
General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows	21
Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations	21
A class of high-order finite difference schemes with minimized dispersion and adaptive dissipation for solving compressible flows	21
Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows	21
A state redistribution algorithm for finite volume schemes on cut cell meshes	21
Continuum simulation for regularized non-local μ(I) model of dense granular flows	21
Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy	21
A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows	21
A generalized multiphase modelling approach for multiscale flows	21
A thermodynamically consistent pseudo-potential lattice Boltzmann model for multi-component, multiphase, partially miscible mixtures	20
Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration	20
A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws	20
Deep-learning accelerated calculation of real-fluid properties in numerical simulation of complex flowfields	20
Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation	20
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure	20
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves	20
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system	20
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations	19
A conservative discontinuous Galerkin discretization for the chemically reacting Navier-Stokes equations	19
A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws	19
A discontinuity capturing shallow neural network for elliptic interface problems	19
The ultraspherical spectral element method	19
A greedy non-intrusive reduced order model for shallow water equations	19
On Particle Shifting Techniques (PSTs): Analysis of existing laws and proposition of a convergent and multi-invariant law	19
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics	19
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation	19
Least-squares ReLU neural network (LSNN) method for linear advection-reaction equation	19
A weighted Shifted Boundary Method for free surface flow problems	19
Comprehensive analysis of entropy conservation property of non-dissipative schemes for compressible flows: KEEP scheme redefined	19
An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models	19
An immersed boundary method for wall-modeled large-eddy simulation of turbulent high-Mach-number flows	19
An accurate SPH Volume Adaptive Scheme for modeling strongly-compressible multiphase flows. Part 2: Extension of the scheme to cylindrical coordinates and simulations of 3D axisymmetric problems with	19
A consistent and conservative model and its scheme for N-phase-M-component incompressible flows	19
Adjoint complement to the volume-of-fluid method for immiscible flows	19
A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales	19
A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations	19
Phase-change modeling based on a novel conservative phase-field method	19
An energy- and charge-conserving electrostatic implicit particle-in-cell algorithm for simulations of collisional bounded plasmas	18
A metalearning approach for Physics-Informed Neural Networks (PINNs): Application to parameterized PDEs	18
Deep learning of the spanwise-averaged Navier–Stokes equations	18
Physics-informed machine learning with conditional Karhunen-Loève expansions	18
Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations	18
A new coupled multiphase flow–finite strain deformation–fault slip framework for induced seismicity	18
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics	18
Meta-MgNet: Meta multigrid networks for solving parameterized partial differential equations	18
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems	18
Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems	18
Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry	18
An asymptotic preserving unified gas kinetic particle method for radiative transfer equations	18
High-order consistent SPH with the pressure projection method in 2-D and 3-D	18
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh	18
A conservative level set method for N-phase flows with a free-energy-based surface tension model	18
Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids	18
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary	18
Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data	18
THINC scaling method that bridges VOF and level set schemes	18
ModalPINN: An extension of physics-informed Neural Networks with enforced truncated Fourier decomposition for periodic flow reconstruction using a limited number of imperfect sensors	18