Immersed boundary method for the simulation of 2D viscous flow based on vorticity-velocity formulations
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Publication:1005383
DOI10.1016/j.jcp.2008.10.038zbMath1252.76054OpenAlexW2011324017MaRDI QIDQ1005383
Jianren Fan, Ke-Fa Cen, Zeli Wang
Publication date: 9 March 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.10.038
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20)
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Uses Software
Cites Work
- A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
- Proteus: A direct forcing method in the simulations of particulate flows
- Review of incompressible fluid flow computations using the vorticity- velocity formulation
- An immersed boundary method for complex incompressible flows
- An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains
- Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow
- Compact finite difference schemes with spectral-like resolution
- A simple boundary condition for unbounded hyperbolic flows
- A level set approach for computing solutions to incompressible two-phase flow
- Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method.
- A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow.
- Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
- Modeling a no-slip flow boundary with an external force field
- Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method
- An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
- An immersed boundary method with direct forcing for the simulation of particulate flows
- On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
- An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries
- An immersed interface method for simulating the interaction of a fluid with moving boundaries
- Flow patterns around heart valves: A numerical method
- Experiments on the flow past a circular cylinder at low Reynolds numbers
- IMMERSED BOUNDARY METHODS
- Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
- A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
- Bénard-von Kármán instability: transient and forced regimes
- Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- Developing high-order weighted compact nonlinear schemes
- Physalis: A new \(o(N)\) method for the numerical simulation of disperse systems: Potential flow of spheres
- Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique.
- A front-tracking method for the computations of multiphase flow.
- A high-order fast direct solver for singular Poisson equations
- An immersed-boundary finite volume method for simulations of flow in complex geometries
- A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution.
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