Smoothed boundary method for simulating incompressible flow in complex geometries
DOI10.1016/j.cma.2022.115312OpenAlexW4285585641WikidataQ113877837 ScholiaQ113877837MaRDI QIDQ2674070
Hui-Chia Yu, Robert Termuhlen, Kieran Fitzmaurice
Publication date: 22 September 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.115312
finite difference methodadaptive mesh refinementfluid dynamicsdiffuse interfaceNavier Stokessmoothed boundary method
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Uses Software
Cites Work
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- A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees
- Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids
- A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids
- A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids
- An adaptive, formally second order accurate version of the immersed boundary method
- Solving PDEs in complex geometries: a diffuse domain approach
- Local adaptive mesh refinement for shock hydrodynamics
- A simple immersed-boundary method for solid-fluid interaction in constant- and stratified-density flows
- Full Eulerian finite element method of a phase field model for fluid-structure interaction problem
- The simulation of compressible multi-fluid multi-solid interactions using the modified ghost method
- A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations
- Modeling melt convection in phase-field simulations of solidification
- Level set methods and dynamic implicit surfaces
- A phase-field model for fluid-structure interaction
- A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations
- An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation
- Efficient numerical scheme for a dendritic solidification phase field model with melt convection
- Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
- A one-field monolithic fictitious domain method for fluid-structure interactions
- A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans
- Simulation of high density ratio interfacial flows on cell vertex/edge-based staggered octree grids with second-order discretization at irregular nodes
- A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids
- CutFEM: Discretizing geometry and partial differential equations
- Algorithms and data structures for massively parallel generic adaptive finite element codes
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
- IMMERSED BOUNDARY METHODS
- Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
- deal.II—A general-purpose object-oriented finite element library
- Sharp Interface and Voltage Conservation in the Phase Field Method: Application to Cardiac Electrophysiology
- An Adaptive Mesh Projection Method for Viscous Incompressible Flow
- Smoothed Boundary Method for Diffusion-Related Partial Differential Equations in Complex Geometries
- Numerische Strömungsmechanik
- Accurate projection methods for the incompressible Navier-Stokes equations
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