A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains

No abstract is available for this paper.

• Publication year

  1998

• Venue

  Journal of Computational Physics

• Publication date

  1998-11-01

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1006/JCPH.1998.5965
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Embedded Boundary Algorithms for Solving the Poisson Equation on Complex Domains

  1998cited by this paper
• A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations

  1998cited by this paper
• A Fast Iterative Algorithm for Elliptic Interface Problems

  1998cited by this paper
• An Adaptive Mesh Projection Method for Viscous Incompressible Flow

  1997cited by this paper
• A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows

  1997cited by this paper
• A Projection Method for Locally Refined Grids

  1996cited by this paper
• A Direct Adaptive Poisson Solver of Arbitrary Order Accuracy

  1996cited by this paper
• The analysis of multigrid algorithms for cell centered finite difference methods

  1996cited by this paper
• Computation of Three Dimensional Dendrites with Finite Elements

  1996cited by this paper
• Solving Poisson's Equation using Adaptive Mesh Renemen t

  1996cited by this paper
• A Multigrid Algorithm for Immersed Interface Problems

  1996cited by this paper
• Adaptation and surface modeling for cartesian mesh methods

  1995cited by this paper
• Modeling, mesh generation, and adaptive numerical methods for partial differential equations

  1995cited by this paper
• Cartesian grid method for unsteady compressible flow in irregular regions

  1995influential reference
• The immersed interface method: a numerical approach for partial differential equations with interfaces

  1995cited by this paper
• A Fast Poisson Solver for Complex Geometries

  1995cited by this paper
• A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries

  1994influential reference
• Object-Oriented Implementation of Adaptive Mesh Refinement Algorithms

  1993cited by this paper
• Improved Volume Conservation in the Computation of Flows with Immersed Elastic Boundaries

  1993cited by this paper
• An adaptive projection method for the incompressible Euler equations

  1993cited by this paper
• Domain Decomposition Algorithms

  1993cited by this paper
• Abstract of papers to appear in future issuesThe rapid evaluation of volume integrals of potential theory on general regions

  1992cited by this paper
• Conservative front-tracking for inviscid compressible flow

  1991cited by this paper
• Composite overlapping meshes for the solution of partial differential equations

  1990cited by this paper
• The von Neumann paradox for the diffraction of weak shock waves

  1990cited by this paper
• A locally refined rectangular grid finite element method: application to computational fluid dynamics and computational physics

  1990cited by this paper
• Numerical solution of partial differential equations by the finite element method

  1990cited by this paper
• Local adaptive mesh refinement for shock hydrodynamics

  1989cited by this paper
• Toward a universal h-p adaptive finite element strategy

  1989cited by this paper
• A multigrid tutorial

  1987cited by this paper
• Two-dimensional fully adaptive solutions of solid-solid alloying reactions

  1986cited by this paper
• Adaptive mesh refinement for hyperbolic partial differential equations

  1982cited by this paper
• Elliptic Partial Differential Equa-tions of Second Order

  1977cited by this paper

• A higher-order cut-cell finite element method for elliptic equations in arbitrary planar domains

  2026cites this paper
• A review of level-set modeling in epitaxial growth and alloys solidification

  2026cites this paper
• Finite Element Eigenfunction Network (FEENet): A Hybrid Framework for Solving PDEs on Complex Geometries

  2026cites this paper
• Optimal local truncation error method for 3-D elastodynamics interface problems on unfitted Cartesian meshes

  2026cites this paper
• How internal fins enhance the thermohydraulic performance of geothermal pipes: A direct numerical simulation study

  2026cites this paper
• Analysis and simulations of droplet generation regimes in a coaxial microfluidic device

  2026cites this paper
• A Fourth-Order Cut-cell Multigrid Method for Solving Elliptic Equations on Arbitrary Domains

  2026influential citation
• Regularization errors in the resolution of elliptic equations in the presence of discontinuities and interfacial sources

  2025cites this paper
• Coupled liquid–gas flow over a submerged cylinder: interface topology, wake structure and hydrodynamic lift

  2025cites this paper
• An unfitted domain approach using a stabilized residual minimization method for Dirichlet problems

  2025cites this paper
• Growth Rate and Energy Dissipation in Wind‐Forced Breaking Waves

  2025cites this paper
• Droplet dynamics in capillary parallel plate channel

  2025cites this paper
• Numerical analysis of air entrainment and flows around a surface-piercing finite circular cylinder

  2025cites this paper
• Semi-implicit continuum kinetic modeling of weakly collisional parallel transport in a magnetic mirror

  2025cites this paper
• Optimal local truncation error method on unfitted Cartesian meshes for solution of 3-D wave and heat equations for heterogeneous materials

  2025cites this paper
• A sharp cartesian grid method for simulating flow past viscous droplets of arbitrary shape and viscosity

  2025cites this paper
• A space-time extension of a conservative two-fluid cut-cell method for moving diffusion problems

  2025cites this paper
• Volume-conserving method for dynamic contact line on complex surfaces

  2025cites this paper
• An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma

  2025cites this paper
• A Cartesian Cut-Cell Two-Fluid Method for Two-Phase Diffusion Problems

  2025cites this paper
• An immersed interface Adaptive Mesh Refinement algorithm for Li-ion battery simulations. II. Multi-dimensional extension and separator modeling

  2025cites this paper
• A hybrid kernel-free boundary integral method with operator learning for solving parametric partial differential equations in irregular domains

  2025cites this paper
• 10-th order of accuracy for numerical solution of 3-D elasticity equations for heterogeneous materials on unfitted Cartesian meshes

  2025cites this paper
• Numerical Error Analysis of the Poisson Equation under RHS Inaccuracies in Particle-in-Cell Simulations

  2025cites this paper
• A high order multigrid-preconditioned immersed interface solver for the Poisson equation with boundary and interface conditions

  2025cites this paper
• Numerical investigation of hydrodynamics in porous media of two-dimensional rod packings: Flow regimes from pre-Darcy to post-Darcy

  2025cites this paper
• A lubrication-based method for reconstructing the dynamic parameters of particle–wall collisions in liquids

  2025cites this paper
• An Eulerian-based immersed boundary method using direct forcing on piecewise linear constructed interface

  2025cites this paper
• Numerical algorithm to estimate formation factor of digital rocks

  2025cites this paper
• A 2D sharp and conservative VOF method for modeling the contact line dynamics with hysteresis on complex boundary

  2025cites this paper
• A Fast Fourth-Order Cut Cell Method for Solving Elliptic Equations in Two-Dimensional Irregular Domains

  2025cites this paper
• Local slip length and surfactant effects on liquid-infused surfaces

  2025cites this paper
• Computation of a Distance Field by Means of Combined Geometry Representation in Fluid Dynamics Simulations with Embedded Boundaries

  2024cites this paper
• A robust cut‐cell finite element method for Poisson's equation in three dimensions

  2024cites this paper
• Dynamics of a viscoelastic droplet migrating in a ratchet microchannel under AC electric field

  2024cites this paper
• A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains

  2024cites this paper
• An Edge-based Interface Tracking (EBIT) method for multiphase flows with phase change

  2024cites this paper
• Multicomponent droplet evaporation in a geometric volume-of-fluid framework

  2024cites this paper
• How surface modifications enhance vertical falling film evaporation

  2024cites this paper
• A flow control strategy for a near-wall square cylinder using porous media: A direct numerical simulation study

  2024cites this paper
• A coupled VOF/embedded boundary method to model two-phase flows on arbitrary solid surfaces

  2024influential citation
• Numerical Simulation of Cavitation Control around a Circular Cylinder Using Porous Surface by Volume Penalized Method

  2024cites this paper
• Momentum fluxes in wind-forced breaking waves

  2024cites this paper
• A levelset-based cut-cell method for interfacial flows: part 1—Navier–Stokes equations and Rayleigh–Bénard instability with melting boundary

  2024cites this paper
• A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains

  2024cites this paper
• An Evaluation of the Immersed Boundary Method for Subsonic Wall-Modeled Large Eddy Simulations

  2024cites this paper
• Binary interactions between stationary circular and non-circular cylinders in steady unbounded flow

  2024cites this paper
• An accurate and scalable direction-splitting solver for flows laden with non-spherical rigid bodies—Part 2: Moving rigid bodies

  2024cites this paper
• Modelling wind-induced changes to overturning wave shape

  2024cites this paper
• Radial Basis Function-Finite Difference Solution Combined with Level-Set Embedded Boundary Method for Improving a Diffusive Logistic Model with a Free Boundary

  2024cites this paper
• Accurate numerical prototypes of microfluidic droplet generators with open source tools

  2024cites this paper
• An AI-Aided Algorithm for Multivariate Polynomial Reconstruction on Cartesian Grids and the PLG Finite Difference Method

  2024influential citation
• Optimal local truncation error method for 3-D elasticity interface problems

  2024cites this paper
• A conservative sharp interface method for incompressible viscous two-phase flows with topology changes and large density ratio

  2024cites this paper
• A high-order finite difference method for moving immersed domain boundaries and material interfaces

  2024cites this paper
• Three-dimensional sharp and conservative VOF method for the simulation of binary solidification

  2023cites this paper
• Optimal Local Truncation Error Method for Solution of Partial Differential Equations on Irregular Domains and Interfaces Using Unfitted Cartesian Meshes: Review

  2023cites this paper
• Solver comparison for Poisson-like equations on tokamak geometries

  2023cites this paper
• A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries

  2023cites this paper
• Simulation and modeling of the vaporization of a freely moving and deforming drop at low to moderate Weber numbers

  2023cites this paper
• Stochastic and self-consistent 3D modeling of streamer discharge trees with Kinetic Monte Carlo

  2023cites this paper
• Optimal local truncation error method for solution of 2-D elastodynamics problems with irregular interfaces and unfitted Cartesian meshes as well as for post-processing

  2023cites this paper
• Steady three-dimensional unbounded flow past an obstacle continuously deviating from a sphere to a cube

  2023cites this paper
• A High Order Cartesian Grid, Finite Volume Method for Elliptic Interface Problems

  2023cites this paper
• Multiresolution method for bending of plates with complex shapes

  2023cites this paper
• Direct numerical simulations of flows around an array of rough cylinders partially coated with porous media at Re = 3900

  2023cites this paper
• Fluid Simulation on Neural Flow Maps

  2023cites this paper
• Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations

  2023cites this paper
• High-fidelity simulations of plasma-assisted oxidation of hydrocarbon fuels using nanosecond pulsed discharges

  2023cites this paper
• A conservative sharp interface method for two-dimensional incompressible two-phase flows with phase change

  2023cites this paper
• Exponential Time Differencing Method for a Reaction- Diffusion System with Free Boundary

  2023cites this paper
• A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries

  2022cites this paper
• Optimal local truncation error method for 2‐D elastodynamics problems on irregular domains and unfitted Cartesian meshes

  2022influential citation
• A Consistent Volume-of-Fluid Approach for Direct Numerical Simulation of the Aerodynamic Breakup of a Vaporizing Drop

  2022cites this paper
• Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Modeling and Robust Simulations

  2022cites this paper
• An Immersed Boundary Wall-Modeled Large-Eddy Simulation Approach for Low Speed Turbulent Flows

  2022cites this paper
• Integration factor combined with level set method for reaction-diffusion systems with free boundary in high spatial dimensions

  2022cites this paper
• The 10-th order of accuracy of ‘quadratic’ elements for elastic heterogeneous materials with smooth interfaces and unfitted Cartesian meshes

  2022cites this paper
• An immersed boundary method for wall-modeled large-eddy simulation of turbulent high-Mach-number flows

  2022cites this paper
• Optimal local truncation error method for solution of 3-D Poisson equation with irregular interfaces and unfitted Cartesian meshes as well as for post-processing

  2022cites this paper
• Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes

  2022cites this paper
• Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness

  2022cites this paper
• Effect of phase change on jet atomization: a direct numerical simulation study

  2022cites this paper
• A hybrid level-set / embedded boundary method applied to solidification-melt problems

  2022influential citation
• Less can be more: Insights on the role of electrode microstructure in redox flow batteries from 2D direct numerical simulations

  2022cites this paper
• : A

  2022cites this paper
• A Cartesian-octree adaptive front-tracking solver for immersed biological capsules in large complex domains

  2022cites this paper
• A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains

  2022cites this paper
• Adjoint-based optimization of two-dimensional Stefan problems

  2022cites this paper
• The numerical solution of the 3D Helmholtz equation with optimal accuracy on irregular domains and unfitted Cartesian meshes

  2021cites this paper
• Boiling and evaporation model for liquid-gas flows: A sharp and conservative method based on the geometrical VOF approach

  2021cites this paper
• Predator-prey plankton dynamics in turbulent wakes behind islands

  2021cites this paper
• Large-scale dark matter simulations

  2021cites this paper
• New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils

  2021cites this paper
• Optimal local truncation error method for solution of elasticity problems for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes

  2021cites this paper
• Bayesian Calibration for Large-Scale Fluid Structure Interaction Problems Under Embedded/Immersed Boundary Framework

  2021cites this paper
• Confined self-propulsion of an isotropic active colloid

  2021cites this paper
• Predator-prey plankton dynamics in turbulent flow past an obstacle

  2021cites this paper
• Optimal local truncation error method for solution of wave and heat equations for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes

  2021cites this paper
• Poisson Solver for Upscaling the Physical Properties of Porous Materials

  2021cites this paper