DOI10.1006/jcph.2001.6977zbMath0996.65108OpenAlexW2054320306MaRDI QIDQ1604443
Li-Tien Cheng, Ronald P. Fedkiw, Myungjoo Kang, Frédéric Gibou
Publication date: 4 July 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9aa1f6e74db9b460751e958f7930dae94053e754
An explicit algorithm for imbedding solid boundaries in Cartesian grids for the reactive Euler equations ⋮
Optimal preconditioners on solving the Poisson equation with Neumann boundary conditions ⋮
Fictitious domain methods for two-phase flow energy balance computations in nuclear components ⋮
A volume-of-fluid method for interface-resolved simulations of phase-changing two-fluid flows ⋮
Solving elliptic interface problems with jump conditions on Cartesian grids ⋮
A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains ⋮
A comparison of the finite difference and multiresolution method for the elliptic equations with Dirichlet boundary conditions on irregular domains ⋮
Direct forcing immersed boundary methods: improvements to the ghost-cell method ⋮
A reconstruction-based Chebyshev-collocation method for the Poisson equation: an accurate treatment of the Gibbs-Wilbraham phenomenon on irregular interfaces ⋮
A multigrid ghost-point level-set method for incompressible Navier-Stokes equations on moving domains with curved boundaries ⋮
A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows ⋮
Directly resolving particles in an electric field: local charge, force, torque, and applications ⋮
A linearised inverse conductivity problem for the Maxwell system at a high frequency ⋮
Efficient calculation of fully resolved electrostatics around large biomolecules ⋮
A level-set based space-time finite element approach to the modelling of solidification and melting processes ⋮
Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method ⋮
A ghost fluid/level set method for boiling flows and liquid evaporation: application to the leidenfrost effect ⋮
A coupling interface method for elliptic interface problems ⋮
A volume of fluid approach for crystal growth simulation ⋮
SYSTEM IDENTIFICATION IN TUMOR GROWTH MODELING USING SEMI-EMPIRICAL EIGENFUNCTIONS ⋮
Sharp Boundary Electrocardiac Simulations ⋮
A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids ⋮
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition ⋮
Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions ⋮
A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants ⋮
A directional ghost-cell immersed boundary method for low Mach number reacting flows with interphase heat and mass transfer ⋮
Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids ⋮
Free boundary problem for cell protrusion formations: theoretical and numerical aspects ⋮
Characteristic features of error in high-order difference calculation of 1D Poisson equation and unlimited high-accurate calculation under multi-precision calculation ⋮
Lagrangian differencing dynamics for incompressible flows ⋮
A finite difference method on irregular grids with local second order ghost point extension for solving Maxwell's equations around curved PEC objects ⋮
Solving incompressible Navier-Stokes equations on irregular domains and quadtrees by monolithic approach ⋮
A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain ⋮
Universal AMG accelerated embedded boundary method without small cell stiffness ⋮
A two-dimensional multi-species model for different \textit{Listeria monocytogenes} biofilm structures and its numerical simulation ⋮
An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on leidenfrost droplet ⋮
Simulation of heat conduction in complex domains of multi-material composites using a meshless method ⋮
A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble ⋮
An efficient tracking method of evaporative and flat free surfaces for turbulent convection ⋮
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems ⋮
Finite element interpolated neural networks for solving forward and inverse problems ⋮
On the coupling between direct numerical simulation of nucleate boiling and a micro-region model at the contact line ⋮
A compressible solver for two phase-flows with phase change for bubble cavitation ⋮
A front tracking method for direct numerical simulation of evaporation process in a multiphase system ⋮
Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving chimera meshes ⋮
A multiple level-set approach for modelling containerless freezing process ⋮
A computational framework for interface-resolved DNS of simultaneous atomization, evaporation and combustion ⋮
A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing ⋮
Three-dimensional simulation of saturated film boiling on a horizontal cylinder ⋮
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review ⋮
A multidimensional multispecies continuum model for heterogeneous biofilm development ⋮
A ghost-point smoothing strategy for geometric multigrid on curved boundaries ⋮
A finite difference method for a numerical solution of elliptic boundary value problems ⋮
Modelling in vitro lung branching morphogenesis during development ⋮
Geometric multigrid method for solving Poisson's equation on octree grids with irregular boundaries ⋮
A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli ⋮
Limit behaviour of spatially growing cell cultures ⋮
Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators ⋮
Nonlinear simulation of the effect of microenvironment on tumor growth ⋮
Sharp interface approaches and deep learning techniques for multiphase flows ⋮
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures ⋮
Rational Krylov methods for functions of matrices with applications to fractional partial differential equations ⋮
A finite difference discretization method for heat and mass transfer with Robin boundary conditions on irregular domains ⋮
A moment-of-fluid method for diffusion equations on irregular domains in multi-material systems ⋮
A directional ghost-cell immersed boundary method for incompressible flows ⋮
Fluids-membrane interaction with a full Eulerian approach based on the level set method ⋮
Simulation of topological chaos in laminar flows ⋮
Chaotic advection of finite-size bodies in a cavity flow ⋮
A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries ⋮
A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation ⋮
Numerical Study of Turbidity Current over a Three-Dimensional Seafloor ⋮
Simulation of free dendritic crystal growth in a gravity environment ⋮
A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮
A level set method for thin film epitaxial growth ⋮
A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport ⋮
On the accuracy of direct forcing immersed boundary methods with projection methods ⋮
A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids ⋮
Direct numerical simulation of a bubble motion in a spherical tank under external forces and microgravity conditions ⋮
A geometric multigrid accelerated incompressible flow simulation over complex geometries ⋮
Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies ⋮
A stream function solver for liquid simulations ⋮
A locally second order symmetric method for discontinuous solution of Poisson's equation on uniform Cartesian grids ⋮
A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains ⋮
Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces ⋮
An immersed-boundary method for compressible viscous flows and its application in the gas-kinetic BGK scheme ⋮
An adaptive cut-cell method for environmental fluid mechanics ⋮
Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces ⋮
Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical (\(r,v_r,v_\theta\)) phase space coordinates ⋮
Sharp interface Cartesian grid method. I: An easily implemented technique for 3D moving boundary computations ⋮
Sharp interface Cartesian grid method. III: Solidification of pure materials and binary solutions ⋮
Development of general finite differences for complex geometries using a sharp interface formulation ⋮
A sharp numerical method for the simulation of Stefan problems with convective effects ⋮
A second-order boundary condition capturing method for solving the elliptic interface problems on irregular domains ⋮
A Cartesian grid embedded boundary method for the heat equation and Poisson's equation in three dimensions ⋮
PICIN: A Particle-in-Cell Solver for Incompressible Free Surface Flows with Two-Way Fluid-Solid Coupling ⋮
A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem ⋮
Semi-implicit finite volume level set method for advective motion of interfaces in normal direction ⋮
A novel supermesh method for computing solutions to the multi-material Stefan problem with complex deforming interfaces and microstructure ⋮
A sharp computational method for the simulation of the solidification of binary alloys ⋮
Immersed boundary method for the complete electrode model in electrical impedance tomography ⋮
An effective preconditioning strategy for volume penalized incompressible/low Mach multiphase flow solvers ⋮
Impact of surfactants on the rise of deformable bubbles and interfacial gas–liquid mass transfer ⋮
A new ghost-cell/level-set method for three-dimensional flows ⋮
A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. ⋮
A front tracking method for particle-resolved simulation of evaporation and combustion of a fuel droplet ⋮
A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate ⋮
Convergence analysis of the standard central finite difference method for Poisson equation ⋮
The island dynamics model on parallel quadtree grids ⋮
Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface ⋮
The LS-STAG method: a new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties ⋮
Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method ⋮
Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework ⋮
A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids ⋮
Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains ⋮
Reduction of the discretization stencil of direct forcing immersed boundary methods on rectangular cells: the ghost node shifting method ⋮
A variable-density fictitious domain method for particulate flows with broad range of particle-fluid density ratios ⋮
A monolithic mass tracking formulation for bubbles in incompressible flow ⋮
A first-passage kinetic Monte Carlo method for reaction-drift-diffusion processes ⋮
Benchmarks and numerical methods for the simulation of boiling flows ⋮
Multigrid lattice Boltzmann method for accelerated solution of elliptic equations ⋮
A new incompressibility discretization for a hybrid particle MAC grid representation with surface tension ⋮
Analyses on the finite difference method by gibou et al. for Poisson equation ⋮
A second-order Cartesian method for the simulation of electropermeabilization cell models ⋮
A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees ⋮
Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative ⋮
A sharp interface method for incompressible two-phase flows ⋮
A numerical method for capillarity-dominant free surface flows ⋮
A level set method for vaporizing two-phase flows ⋮
An efficient block parallel AMR method for two phase interfacial flow simulations ⋮
Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers ⋮
A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change ⋮
Cartesian grid method for gas kinetic scheme on irregular geometries ⋮
A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities ⋮
Level set method for numerical simulation of a cavitation bubble, its growth, collapse and rebound near a rigid wall ⋮
Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation ⋮
A new ghost cell/level set method for moving boundary problems: application to tumor growth ⋮
Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method ⋮
Accurate asymptotic preserving boundary conditions for kinetic equations on Cartesian grids ⋮
Incompressible material point method for free surface flow ⋮
Geometric discretization of the multidimensional Dirac delta distribution -- application to the Poisson equation with singular source terms ⋮
Direct numerical simulation of incompressible multiphase flow with phase change ⋮
Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson equation ⋮
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions ⋮
A level set method for vapor bubble dynamics ⋮
A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions ⋮
Semi-implicit surface tension formulation with a Lagrangian surface mesh on an Eulerian simulation grid ⋮
A symmetric positive definite formulation for monolithic fluid structure interaction ⋮
High resolution sharp computational methods for elliptic and parabolic problems in complex geometries ⋮
A class of renormalised meshless Laplacians for boundary value problems ⋮
An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary condition ⋮
A review of level-set methods and some recent applications ⋮
A level-set method for two-phase flows with soluble surfactant ⋮
Gradient augmented level set method for phase change simulations ⋮
A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. ⋮
A new modification of the immersed boundaries method for fluid-solid flows: Moderate Reynolds numbers ⋮
On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains ⋮
A ghost-cell immersed boundary method for flow in complex geometry. ⋮
A fast solver for the Stokes equations with distributed forces in complex geometries. ⋮
An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application ⋮
The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data ⋮
A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries ⋮
A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries ⋮
Numerical simulation of dendritic solidification with convection: three-dimensional flow. ⋮
Physalis method for heterogeneous mixtures of dielectrics and conductors: accurately simulating one million particles using a PC ⋮
A correction function method for Poisson problems with interface jump conditions ⋮
Numerical simulation of nucleate boiling on a horizontal surface at high heat fluxes ⋮
An adaptive local grid refinement method for 2D diffusion equation with variable coefficients based on block-centered finite differences ⋮
A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients ⋮
A comparative study on evaluation methods of fluid forces on Cartesian grids ⋮
A space-time discontinuous Galerkin spectral element method for the Stefan problem ⋮
A fourth-order kernel-free boundary integral method for the modified Helmholtz equation ⋮
Second order front tracking algorithm for Stefan problem on a regular grid ⋮
Accurate discretization of diffusion in the LS-STAG cut-cell method using diamond cell techniques ⋮
Numerical modeling of turbulence-induced interfacial instability in two-phase flow with moving interface ⋮
High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces ⋮
A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid ⋮
A node-centered local refinement algorithm for Poisson's equation in complex geometries ⋮
The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions ⋮
A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries ⋮
Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems ⋮
A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries ⋮
Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth ⋮
Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method ⋮
A two-grid adaptive volume of fluid approach for dendritic solidification ⋮
A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries ⋮
Topology-free immersed boundary method for incompressible turbulence flows: an aerodynamic simulation for ``dirty CAD geometry ⋮ Poisson equations in irregular domains with Robin boundary conditions -- solver with second-order accurate gradients ⋮ Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework ⋮ A second order virtual node method for elliptic problems with interfaces and irregular domains ⋮ A consistent direct discretization scheme on Cartesian grids for convective and conjugate heat transfer ⋮ On two-phase flow solvers in irregular domains with contact line ⋮ A second order accurate level set method on non-graded adaptive Cartesian grids ⋮ An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces ⋮ A sharp interface immersed boundary method for compressible viscous flows ⋮ Numerical modeling of fluid-particle interactions ⋮ A comparative study of penalization and phase field methods for the solution of the diffusion equation in complex geometries ⋮ Anisotropic mesh adaptation with optimal convergence for finite elements using embedded geometries ⋮ Level set method for computational multi-fluid dynamics: a review on developments, applications and analysis ⋮ Meshfree point collocation method with intrinsic enrichment for interface problems ⋮ An efficient fluid-solid coupling algorithm for single-phase flows ⋮ xGFM: recovering convergence of fluxes in the ghost fluid method ⋮ Spatially adaptive techniques for level set methods and incompressible flow ⋮ Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods
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