An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary
From MaRDI portal
Publication:1011582
DOI10.1016/j.cma.2007.08.018zbMath1158.76381OpenAlexW2025567872MaRDI QIDQ1011582
Publication date: 8 April 2009
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.2007.08.018
Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid, A decoupled augmented IIM strategy for incompressible two-phase flows with interfaces on irregular domains, An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries, A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids, A non-iterative immersed boundary method for spherical particles of arbitrary density ratio, Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids, An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
Cites Work
- Modeling physiological resistance in bacterial biofilms
- On the accuracy of finite difference methods for elliptic problems with interfaces.
- A computational model of the cochlea using the immersed boundary method
- Numerical analysis of blood flow in the heart
- Modeling arteriolar flow and mass transport using the immersed boundary method
- A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
- Sperm motility in the presence of boundaries
- Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
- Cusping, capture, and breakup of interacting drops by a curvatureless boundary-integral algorithm
- Modeling Water Transport across Elastic Boundaries Using an Explicit Jump Method
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains
- Unnamed Item
