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A sharp interface Cartesian grid method for simulating flows with complex moving boundaries (2001)
| Venue: | J. Comput. Phys |
| Citations: | 66 - 4 self |
BibTeX
@ARTICLE{Udaykumar01asharp,
author = {H. S. Udaykumar and R. Mittal and P. Rampunggoon and A. Khanna},
title = {A sharp interface Cartesian grid method for simulating flows with complex moving boundaries},
journal = {J. Comput. Phys},
year = {2001},
volume = {174},
pages = {345--380}
}
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Abstract
A Cartesian grid method for computing flows with complex immersed, moving boundaries is presented. The flow is computed on a fixed Cartesian mesh and the solid boundaries are allowed to move freely through the mesh. A mixed Eulerian– Lagrangian framework is employed, which allows us to treat the immersed moving boundary as a sharp interface. The incompressible Navier–Stokes equations are discretized using a second-order-accurate finite-volume technique, and a second-orderaccurate fractional-step scheme is employed for time advancement. The fractionalstep method and associated boundary conditions are formulated in a manner that properly accounts for the boundary motion. A unique problem with sharp interface methods is the temporal discretization of what are termed “freshly cleared ” cells, i.e., cells that are inside the solid at one time step and emerge into the fluid at the next time step. A simple and consistent remedy for this problem is also presented. The solution of the pressure Poisson equation is usually the most time-consuming step in a fractional step scheme and this is even more so for moving boundary problems where the flow domain changes constantly. A multigrid method is presented and is shown to
Keyphrases
sharp interface cartesian grid method time-consuming step boundary motion next time step incompressible navier stokes equation second-order-accurate finite-volume technique mixed eulerian lagrangian framework fixed cartesian mesh unique problem pressure poisson equation multigrid method fractionalstep method second-orderaccurate fractional-step scheme sharp interface boundary condition time step sharp interface method properly account solid boundary consistent remedy flow domain change fractional step scheme temporal discretization boundary problem cartesian grid method time advancement
