Journal of Computational Physics

Article	Citations
Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems	454
Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations	320
IGA-Graph-Net: Isogeometric analysis-reuse method based on graph neural networks for topology-consistent models	188
A positivity-preserving scheme for fluctuating hydrodynamics	157
Numerical modelling of reservoir at pore scale: A comprehensive review	150
A non-intrusive data-driven reduced order model for parametrized CFD-DEM numerical simulations	144
A semi-resolved CFD-DEM coupling model using a two-way domain expansion method	132
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics	129
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	128
A Cartesian mesh approach to embedded interface problems using the virtual element method	120
Numerical optimization of Neumann eigenvalues of domains in the sphere	119
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains	116
A cut finite element method for two-phase flows with insoluble surfactants	111
Sparse discovery of differential equations based on multi-fidelity Gaussian process	100
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations	98
Tikhonov regularization as a nonparametric method for uncertainty quantification in aggregate data problems	97
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics	96
Sparse-grid discontinuous Galerkin methods for the Vlasov–Poisson–Lenard–Bernstein model	92
Meshfree method for large deformation analysis without domain re-mesh: A nonlinear scheme based on stabilized collocation method	90
Full-waveform reconstruction of micro-seismic events via topological derivative approach	88
Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: Shared memory architectures	81
Computational mean-field games on manifolds	78
Linear response based parameter estimation in the presence of model error	75
Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example	73
A projection-based Characteristic Mapping method for tracer transport on the sphere	70

PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain	68
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws	67
Numerical shape optimization of the Canham-Helfrich-Evans bending energy	63
A finite volume method for continuum limit equations of nonlocally interacting active chiral particles	63
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate	61
An equivariant neural operator for developing nonlocal tensorial constitutive models	60
A note on the stability of time–accurate and highly–stable explicit operators for stiff differential equations	60
A generalized multiphase modelling approach for multiscale flows	59
Adaptive multidimensional integration: vegas enhanced	57
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation	55
A hybrid stochastic interpolation and compression method for kernel matrices	55
A new surface tension formulation in smoothed particle hydrodynamics for free-surface flows	55
An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme	55
A deep reinforcement learning framework for dynamic optimization of numerical schemes for compressible flow simulations	52
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing	52
Efficient solution of bimaterial Riemann problems for compressible multi-material flow simulations	52
Learning-based local weighted least squares for algebraic multigrid method	51
A horizontally explicit, vertically implicit (HEVI) discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates	50
On the role of global conservation property for finite difference schemes	50
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains	49
Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrodinger equation	47
A high-order residual-based viscosity finite element method for incompressible variable density flow	47
A nonhydrostatic atmospheric dynamical core on cubed sphere using multi-moment finite-volume method	47
Study of accuracy of a non-conformal finite element domain decomposition method	46
Multi-scale three-domain approach for coupling free flow and flow in porous media including droplet-related interface processes	45
Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems	43
Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion	43
A dynamic mass transport method for Poisson-Nernst-Planck equations	43
A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM	43
Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations	43
On the optimization of approximate control variates with parametrically defined estimators	43
A minimalistic approach to physics-informed machine learning using neighbour lists as physics-optimized convolutions for inverse problems involving particle systems	42
Optimal design for kernel interpolation: Applications to uncertainty quantification	42
Implementation of low-storage Runge-Kutta time integration schemes in scalable asynchronous partial differential equation solvers	41
Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes I: Basic formula on regular cells	41
A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures	40
A realizable second-order advection method with variable flux limiters for moment transport equations	39
RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes	39
CAMERA: A method for cost-aware, adaptive, multifidelity, efficient reliability analysis	38
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis	37
Novel pressure inlet and outlet boundary conditions for Smoothed Particle Hydrodynamics, applied to real problems in porous media flow	37
Efficient extraction of resonant states in systems with defects	37
B-DeepONet: An enhanced Bayesian DeepONet for solving noisy parametric PDEs using accelerated replica exchange SGLD	37
A new norm and stability condition for tensor product flux reconstruction schemes	36
Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations	36
Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces	36
Nonlinear weighting process in ghost-cell immersed boundary methods for compressible flow	36
PDE-constrained models with neural network terms: Optimization and global convergence	36
An efficient unconditional energy stable scheme for the simulation of droplet formation	36
Large eddy simulation on unstructured grids using explicit differential filtering: A case study of Taylor-Green vortex	35

Computationally efficient high-fidelity plasma simulations by coupling multi-species kinetic and multi-fluid models on decomposed domains	35
A time-relaxed Monte Carlo method preserving the Navier-Stokes asymptotics	35
A robust phase-field method for two-phase flows on unstructured grids	35
Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations	35
An improved embedded discrete fracture model and domain connectivity algorithms on 3D unstructured grids	35
Optimal preconditioners on solving the Poisson equation with Neumann boundary conditions	35
A fast direct solver for nonlocal operators in wavelet coordinates	34
Surrogate modeling for Bayesian inverse problems based on physics-informed neural networks	34
On the Lagrangian-Eulerian coupling in the immersed finite element/difference method	34
A super-convergence analysis of the Poisson solver with Octree grids and irregular domains	33
Identifying and tracking bubbles and drops in simulations: A toolbox for obtaining sizes, lineages, and breakup and coalescence statistics	33
The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation	33
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers	32
A combined Lattice-Boltzmann-finite element approach to modeling unsaturated poroelastic behavior of heterogeneous media	32
A computational framework based on explicit local chemical equilibrium for coupled chemo-hydro-mechanical effects on fluid-infiltrating porous media	32
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons	32
A DLM/FD method for simulating balls settling in Oldroyd-B viscoelastic fluids	32
A Bayesian-variational cyclic method for solving estimation problems characterized by non-uniqueness (equifinality)	31
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification	31
A new paradigm of dissipation-adjustable, multi-scale resolving schemes for compressible flows	31
Proper orthogonal descriptors for efficient and accurate interatomic potentials	31
Viscous and hyperviscous filtering for direct and large-eddy simulation	30
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow	30
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems	30
Gappy spectral proper orthogonal decomposition	30
Interface-unaware sub-scale dynamics closure model for multimaterial cells in cell-centered arbitrary Lagrangian-Eulerian hydrodynamics	29
A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel	29
A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws	28
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary	28
A modified and efficient phase field model for the biological transport network	28
Monolithic multigrid for implicit Runge–Kutta discretizations of incompressible fluid flow	28
High order, semi-implicit, energy stable schemes for gradient flows	28
Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes	28
Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation	27
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach	27
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions	27
A deterministic verification strategy for electrostatic particle-in-cell algorithms in arbitrary spatial dimensions using the method of manufactured solutions	27
Solving high-dimensional parametric engineering problems for inviscid flow around airfoils based on physics-informed neural networks	27
Low-rank Monte Carlo for Smoluchowski-class equations	26
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation	26
A friction interface model for multi-material interactions in a Eulerian framework	26
Spectral estimation from simulations via sketching	26
A Shifted Boundary Method for the compressible Euler equations	26
Laplace Green's functions for infinite ground planes with local roughness	26
A scalable, robust parallel algorithm on handling of sliding non-conformal interfaces with an efficient supermesh method	26
An efficient hybrid multi-resolution WCNS scheme for solving compressible flows	25
Optimal design of acoustic metamaterial cloaks under uncertainty	25
Learning and correcting non-Gaussian model errors	25
A unified formulation of splitting-based implicit time integration schemes	25
Physics constrained learning for data-driven inverse modeling from sparse observations	25
Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method	25
Exponential DG methods for Vlasov equations	25
Handling Neumann and Robin boundary conditions in a fictitious domain volume penalization framework	25
DeepBND: A machine learning approach to enhance multiscale solid mechanics	25
A cache-efficient reordering method for unstructured meshes with applications to wall-resolved large-eddy simulations	25
Preconditioning elliptic operators in high-performance all-scale atmospheric models on unstructured meshes	24
Ray decomposition radiation transport for high performance computing	24
Accessibility constraints in structural optimization via distance functions	24
Multi-species kinetic-fluid coupling for high-energy density simulations	24
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping	23
Free surface tension modelling using particle-grid hybrid method without considering gas particles	23
A high order positivity-preserving polynomial projection remapping method	23
Second-order numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media	23
Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes	23
Nonlinear mixed-dimension model for embedded tubular networks with application to root water uptake	23
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology	23
A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers	23
The extended Discontinuous Galerkin method for two-phase flows with evaporation	23
Scalable implicit solvers with dynamic mesh adaptation for a relativistic drift-kinetic Fokker–Planck–Boltzmann model	23
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure	23
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations	23
Reduced-order modeling of neutron transport separated in energy by Proper Generalized Decomposition with applications to nuclear reactor physics	23
Treecode-accelerated Green iteration for Kohn-Sham density functional theory	23
Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinuous Galerkin and Virtual Element methods	23
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries	22
A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem	22
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers	22
Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure	22
Adaptive mesh methods on compact manifolds via Optimal Transport and Optimal Information Transport	22
Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture	22

Midpoint geometric integrators for inertial magnetization dynamics	22
Geometrically parametrised reduced order models for studying the hysteresis of the Coanda effect in finite element-based incompressible fluid dynamics	22
An electromechanics-driven fluid dynamics model for the simulation of the whole human heart	22
A vertex scheme for two-phase flow in heterogeneous media	22
Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation	22
A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics	22
A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer	22
A well-balanced second-order finite volume approximation for a coupled system of granular flow	21
Deep learning of first-order nonlinear hyperbolic conservation law solvers	21
Magnetohydrodynamic with Adaptively Embedded Particle-in-Cell model: MHD-AEPIC	21
Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure	21
High resolution optimized high-order schemes for discretization of non-linear straight and mixed second derivative terms	20
High order unfitted finite element discretizations for explicit boundary representations	20
A learned conservative semi-Lagrangian finite volume scheme for transport simulations	20
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation	20
Transport error estimation using residual Monte Carlo	20
Fluid-reduced-solid interaction (FrSI): Physics- and projection-based model reduction for cardiovascular applications	20
An adaptive phase-field method for structural topology optimization	20
Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation	20
Perturbation-theory informed integrators for cosmological simulations	20
A method for generating moving, orthogonal, area preserving polygonal meshes	20
A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals	20
A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids	20
Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations	20
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder	20
High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations	20
A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations	20
A prediction-correction based iterative convolution-thresholding method for topology optimization of heat transfer problems	19
An adaptive low-rank splitting approach for the extended Fisher–Kolmogorov equation	19
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics	19
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories	19
Data-driven probability density forecast for stochastic dynamical systems	19
A robust solver for elliptic PDEs in 3D complex geometries	19
Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations	19
Exact and efficient wall distance pre-classification overset grid assembly for unstructured grids	19
A Koopman framework for rare event simulation in stochastic differential equations	19
Inf-sup neural networks for high-dimensional elliptic PDE problems	19
Committor functions via tensor networks	19
A data-driven statistical-stochastic surrogate modeling strategy for complex nonlinear non-stationary dynamics	19
A general purpose strategy for realizing the zero-variance importance sampling and calculating the unknown integration constant	19
Analytical formulas for verification of aerodynamic force and moment computations	19
A highly efficient and accurate numerical method for the electromagnetic scattering problem with rectangular cavities	19
Algorithmic Differentiation for adjoint sensitivity calculation in plasma edge codes	19
An explicit characteristic-based immersed boundary method for compressible flows	19
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields	19
On spurious solutions encountered in Helmholtz scattering resonance computations in 19
The local tangential lifting method for moving interface problems on surfaces with applications	19
The smooth forcing extension method: A high-order technique for solving elliptic equations on complex domains	19
Multi-scale two-domain numerical modeling of stationary positive DC corona discharge/drift-region coupling	18
DNN modeling of partial differential equations with incomplete data	18
On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics	18
Structure probing neural network deflation	18
A finite-volume method for simulating contact lines on unstructured meshes in a conservative level-set framework	18
Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility	18
Full-waveform inversion using level set and cut elements for sharp-interface problems	18
A characteristic-featured shock wave indicator on unstructured grids based on training an artificial neuron	18
Parametric reduced order modeling-based discrete velocity method for simulation of steady rarefied flows	18
A shallow Ritz method for elliptic problems with singular sources	18
High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws	18
Maximum bound principle preserving additive partitioned Runge-Kutta schemes for the Allen-Cahn equation	18
Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics	18
An ALE meshfree method for surface PDEs coupling with forced mean curvature flow	18
Direct forcing immersed boundary methods: Improvements to the ghost-cell method	18
Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws	18
The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme	18
Consideration of artificial compressibility for explicit computational fluid dynamics simulation	18
Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry	17
A front-tracking method for simulating interfacial flows with particles and soluble surfactants	17
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations	17
Fokker-Planck multi-species equations in the adiabatic asymptotics	17
An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases	17
A new approach to the evaluation and solution of the relativistic kinetic dispersion relation and verification with continuum kinetic simulation	17
Correcting noisy dynamic mode decomposition with Kalman filters	17
A transformer-based convolutional method to model inverse cascade in forced two-dimensional turbulence	17
A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement	17
Contour dynamics for one-dimensional Vlasov-Poisson plasma with the periodic boundary	17
An improved model for compressible multiphase flows based on Smoothed Particle Hydrodynamics with enhanced particle regeneration technique	17
A flow-reconstruction based approach for the computation of hydrodynamic stresses on immersed body surface	17
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations	17
Efficient and scalable path-planning algorithms for curvature constrained motion in the Hamilton-Jacobi formulation	17
An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces	17
A MCMC method based on surrogate model and Gaussian process parameterization for infinite Bayesian PDE inversion	17
Simplified inverse distance weighting-immersed boundary method for simulation of fluid-structure interaction	17
Data driven Dirichlet sampling on manifolds	17
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation	17
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics	17
Field-split preconditioned active-set reduced-space algorithm for complex black oil reservoir simulation at large-scale	17
Navier-Stokes characteristic boundary conditions for high-enthalpy compressible flows in thermochemical non-equilibrium	17
A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework	17
Machine learning for fluid flow reconstruction from limited measurements	17
Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme	17
A coupled finite element approach to spatially resolved lithium plating and stripping in three-dimensional anode microstructures of lithium-ion cells	17
Detection and prediction of equilibrium states in kinetic plasma simulations via mode tracking using reduced-order dynamic mode decomposition	17
A high-order finite difference method for moving immersed domain boundaries and material interfaces	17
Efficient calculation of fully resolved electrostatics around large biomolecules	17