A velocity decomposition approach for moving interfaces in viscous fluids
From MaRDI portal
Publication:1017596
DOI10.1016/j.jcp.2009.01.023zbMath1160.76327OpenAlexW2143358274MaRDI QIDQ1017596
J. Thomas Beale, Anita T. Layton
Publication date: 12 May 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.023
Stokes flowstiff equationsboundary integralimmersed interfaceimmersed boundaryNavier-Stokes flowfractional stepping
Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) PDEs with low regular coefficients and/or low regular data (35R05) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations, Partially implicit motion of a sharp interface in Navier-Stokes flow, A Velocity Decomposition Approach for Solving the Immersed Interface Problem with Dirichlet Boundary Conditions, A level-set immersed interface method for simulating the electrohydrodynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Simulating the dynamics and interactions of flexible fibers in Stokes flows
- On the accuracy of finite difference methods for elliptic problems with interfaces.
- An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries
- Unconditionally stable discretizations of the immersed boundary equations
- An adaptive, formally second order accurate version of the immersed boundary method
- Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations
- An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
- A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D
- Implicit second-order immersed boundary methods with boundary mass
- Improved volume conservation in the computation of flows with immersed elastic boundaries
- Removing the stiffness from interfacial flows with surface tension
- A fast solver for the Stokes equations with distributed forces in complex geometries.
- The blob projection method for immersed boundary problems
- Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces
- On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
- An immersed interface method for simulating the interaction of a fluid with moving boundaries
- Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
- Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm
- 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
- Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
- Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
- An Immersed Interface Method for Incompressible Navier--Stokes Equations
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- The Immersed Interface Method
- A semi-Lagrangian high-order method for Navier-Stokes equations
- An efficient numerical method for studying interfacial motion in two-dimensional creeping flows
- The immersed interface method for the Navier-Stokes equations with singular forces
