Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/73174
Title: An immersed interface method for the incompressible Navier-Stokes equations in irregular domains
Authors: Le, D.V.
Khoo, B.C. 
Peraire, J.
Keywords: Cartesian grid method
Fast poisson solvers
Finite difference
Immersed interface method
Irregular domains
Navier-Stokes equations
Issue Date: 2005
Source: Le, D.V.,Khoo, B.C.,Peraire, J. (2005). An immersed interface method for the incompressible Navier-Stokes equations in irregular domains. 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics : 710-716. ScholarBank@NUS Repository.
Abstract: We present an immersed interface method for the incompressible Navier-Stokes equations capable of handling rigid immersed boundaries. The immersed boundary is represented by a set of Lagrangian control points. In order to guarantee that the no-slip condition on the boundary is satisfied, singular forces are applied on the fluid. These forces are related to the jumps in pressure and the jumps in the derivatives of both pressure and velocity, and are interpolated using cubic splines. The strength of the singular forces is determined by solving a small system of equations at each time step. The Navier-Stokes equations are discretized on a staggered Cartesian grid by a second-order accurate projection method for pressure and velocity. © 2005 Elsevier Ltd.
Source Title: 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/73174
ISBN: 0080444814
Appears in Collections:Staff Publications

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