Journal of Computational Physics

Papers
(The TQCC of Journal of Computational Physics is 8. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations391
B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data362
When and why PINNs fail to train: A neural tangent kernel perspective280
PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain210
A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems155
RANS turbulence model development using CFD-driven machine learning144
Weak adversarial networks for high-dimensional partial differential equations133
Parallel physics-informed neural networks via domain decomposition128
Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning103
Data-driven POD-Galerkin reduced order model for turbulent flows102
DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks93
Transfer learning based multi-fidelity physics informed deep neural network93
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations90
Physics-informed machine learning for reduced-order modeling of nonlinear problems88
Direct shape optimization through deep reinforcement learning88
Learning constitutive relations from indirect observations using deep neural networks87
A multi-resolution SPH method for fluid-structure interactions85
Physics-informed neural networks for inverse problems in supersonic flows84
Deep learning observables in computational fluid dynamics84
Data-driven deep learning of partial differential equations in modal space83
A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations80
A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel77
Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation74
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons71
Weak SINDy for partial differential equations69
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism69
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation67
Multi-fidelity Bayesian neural networks: Algorithms and applications67
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications67
An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries67
Learning constitutive relations using symmetric positive definite neural networks66
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows65
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions64
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder63
DPM: A deep learning PDE augmentation method with application to large-eddy simulation61
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators60
Adaptive multidimensional integration: vegas enhanced60
The lattice Boltzmann method for nearly incompressible flows52
A generalized approximate control variate framework for multifidelity uncertainty quantification52
A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems50
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm50
Thermodynamically consistent physics-informed neural networks for hyperbolic systems49
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice49
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data49
Arbitrarily high-order linear energy stable schemes for gradient flow models49
The mixed Deep Energy Method for resolving concentration features in finite strain hyperelasticity49
Atomic cluster expansion: Completeness, efficiency and stability48
Unstructured un-split geometrical Volume-of-Fluid methods – A review47
Data-driven surrogate model with latent data assimilation: Application to wildfire forecasting46
Theory-guided hard constraint projection (HCP): A knowledge-based data-driven scientific machine learning method46
DeepMoD: Deep learning for model discovery in noisy data46
An immersed boundary fluid–structure interaction method for thin, highly compliant shell structures45
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation45
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method44
Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing44
Solving and learning nonlinear PDEs with Gaussian processes43
Calibrate, emulate, sample43
Gradient-based constrained optimization using a database of linear reduced-order models42
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance41
A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks41
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds41
A conservative diffuse-interface method for compressible two-phase flows41
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs41
Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations40
Deep learning of free boundary and Stefan problems40
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method40
PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries40
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems40
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations39
Machine learning for prediction with missing dynamics38
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach38
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation38
On an artificial neural network for inverse scattering problems36
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows36
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers36
Physics-informed semantic inpainting: Application to geostatistical modeling36
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios36
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation36
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters35
Physics-informed PointNet: A deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries34
Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning34
Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems34
A gradient-based deep neural network model for simulating multiphase flow in porous media34
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations34
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism34
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs33
Optimal design of acoustic metamaterial cloaks under uncertainty33
Using deep learning to extend the range of air pollution monitoring and forecasting33
Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks33
Self-adaptive physics-informed neural networks33
Physics-informed neural networks for the shallow-water equations on the sphere33
4D large scale variational data assimilation of a turbulent flow with a dynamics error model33
A resolved CFD-DEM coupling model for modeling two-phase fluids interaction with irregularly shaped particles32
Meta-learning PINN loss functions32
A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory32
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition32
A geometric VOF method for interface resolved phase change and conservative thermal energy advection32
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model32
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction32
Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows31
Analysis and reduction of spurious noise generated at grid refinement interfaces with the lattice Boltzmann method31
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics31
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method30
Coupling of turbulence wall models and immersed boundaries on Cartesian grids30
Data driven approximation of parametrized PDEs by reduced basis and neural networks30
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations30
Non-intrusive reduced-order modeling using uncertainty-aware Deep Neural Networks and Proper Orthogonal Decomposition: Application to flood modeling30
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification29
Constraint-aware neural networks for Riemann problems29
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model29
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization29
Regularized ensemble Kalman methods for inverse problems29
An immersed finite element method for elliptic interface problems in three dimensions29
A neural network based shock detection and localization approach for discontinuous Galerkin methods29
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations28
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid28
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations28
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation28
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach28
Enhanced weakly-compressible MPS method for violent free-surface flows: Role of particle regularization techniques28
Machine learning for fluid flow reconstruction from limited measurements28
A consistent method for direct numerical simulation of droplet evaporation27
Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models27
A coupled LBM-DEM method for simulating the multiphase fluid-solid interaction problem27
MIM: A deep mixed residual method for solving high-order partial differential equations27
A low-rank method for two-dimensional time-dependent radiation transport calculations27
A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis27
Structure-preserving neural networks27
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system27
Deep reinforcement learning for the control of conjugate heat transfer26
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation26
FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions26
An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields26
Deep neural network modeling of unknown partial differential equations in nodal space25
A generalized SAV approach with relaxation for dissipative systems25
Efficient boundary condition-enforced immersed boundary method for incompressible flows with moving boundaries25
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature25
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques25
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations25
Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet25
Quantum algorithm for the collisionless Boltzmann equation25
A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows25
Weak form theory-guided neural network (TgNN-wf) for deep learning of subsurface single- and two-phase flow25
A POD-Galerkin reduced order model for a LES filtering approach25
A linear stability analysis of compressible hybrid lattice Boltzmann methods25
A new efficient momentum preserving Level-Set/VOF method for high density and momentum ratio incompressible two-phase flows24
Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation24
Fractional centered difference scheme for high-dimensional integral fractional Laplacian24
A high-order accurate meshless method for solution of incompressible fluid flow problems24
DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations24
Unified gas-kinetic wave-particle methods III: Multiscale photon transport24
Solving inverse-PDE problems with physics-aware neural networks24
An efficient phase-field method for turbulent multiphase flows24
Inclusion of an acoustic damper term in weakly-compressible SPH models24
A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies24
Methods for suspensions of passive and active filaments24
Bayesian optimization with output-weighted optimal sampling24
A scalable computational platform for particulate Stokes suspensions24
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity24
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation23
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics23
Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: A computation and data-driven approach23
A deep learning framework for constitutive modeling based on temporal convolutional network23
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension23
Learning functional priors and posteriors from data and physics23
Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics23
Entropy stable reduced order modeling of nonlinear conservation laws23
Solving inverse problems using conditional invertible neural networks23
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
Inverse reflector design for a point source and far-field target23
Physics and equality constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fusion23
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh23
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows23
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains23
Boiling and evaporation model for liquid-gas flows: A sharp and conservative method based on the geometrical VOF approach22
An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation22
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary22
A physics-informed and hierarchically regularized data-driven model for predicting fluid flow through porous media22
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations22
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and flow solver22
X-dispersionless Maxwell solver for plasma-based particle acceleration22
xGFM: Recovering convergence of fluxes in the ghost fluid method22
A derivative-free method for solving elliptic partial differential equations with deep neural networks22
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods22
Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones22
Preventing spurious pressure oscillations in split convective form discretization for compressible flows22
Accurate conservative phase-field method for simulation of two-phase flows21
Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows21
Application of Gene Expression Programming to a-posteriori LES modeling of a Taylor Green Vortex21
High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids21
Data-driven molecular modeling with the generalized Langevin equation21
SelectNet: Self-paced learning for high-dimensional partial differential equations21
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation21
KNOSOS: A fast orbit-averaging neoclassical code for stellarator geometry21
Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver21
A hybrid Eulerian-Eulerian/Eulerian-Lagrangian method for dense-to-dilute dispersed phase flows21
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach21
NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems20
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations20
A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions20
On generalized residual network for deep learning of unknown dynamical systems20
Physics constrained learning for data-driven inverse modeling from sparse observations20
An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing20
Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation20
Fisher information regularization schemes for Wasserstein gradient flows20
A level-set method for moving contact lines with contact angle hysteresis20
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system20
Analyses and reconstruction of the lattice Boltzmann flux solver20
Multi-objective CFD-driven development of coupled turbulence closure models20
Estimation of distributions via multilevel Monte Carlo with stratified sampling20
Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy20
A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows20
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach20
Natural grid stretching for DNS of wall-bounded flows19
Surrogate and inverse modeling for two-phase flow in porous media via theory-guided convolutional neural network19
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations19
Overset meshes for incompressible flows: On preserving accuracy of underlying discretizations19
A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches19
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure19
Feature-based and goal-oriented anisotropic mesh adaptation for RANS applications in aeronautics and aerospace19
Stochastic physics-informed neural ordinary differential equations19
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods19
Data-driven discovery of coarse-grained equations19
A generalized multiphase modelling approach for multiscale flows19
Long-time integration of parametric evolution equations with physics-informed DeepONets19
A well-balanced central-upwind scheme for the thermal rotating shallow water equations19
Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov–Maxwell solver19
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources19
An efficient four-way coupled lattice Boltzmann – discrete element method for fully resolved simulations of particle-laden flows19
Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach19
A hybrid particle approach based on the unified stochastic particle Bhatnagar-Gross-Krook and DSMC methods19
GINNs: Graph-Informed Neural Networks for multiscale physics19
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws19
A physics-informed diffusion model for high-fidelity flow field reconstruction18
A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws18
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation18
Continuum simulation for regularized non-local μ(I) model of dense granular flows18
Int-Deep: A deep learning initialized iterative method for nonlinear problems18
Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function18
Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics18
A conservative discontinuous Galerkin discretization for the chemically reacting Navier-Stokes equations18
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity18
A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations18
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations18
A fifth-order low-dissipation discontinuity-resolving TENO scheme for compressible flow simulation18
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids18
Variational training of neural network approximations of solution maps for physical models18
GENE-3D: A global gyrokinetic turbulence code for stellarators18
Obstacle segmentation based on the wave equation and deep learning18
A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows18
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