An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains
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 fo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/7377 |
| _version_ | 1826216113426399232 |
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| author | Le, Duc-Vinh Khoo, Boo Cheong Peraire, Jaime |
| author_facet | Le, Duc-Vinh Khoo, Boo Cheong Peraire, Jaime |
| author_sort | Le, Duc-Vinh |
| collection | MIT |
| description | 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 at the immersed boundary. The 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 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. |
| first_indexed | 2024-09-23T16:42:31Z |
| format | Article |
| id | mit-1721.1/7377 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:42:31Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/73772019-04-12T07:20:57Z An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains Le, Duc-Vinh Khoo, Boo Cheong Peraire, Jaime Immersed interface method Navier-Stokes equations Cartesian grid method finite difference fast Poisson solvers irregular domains 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 at the immersed boundary. The 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 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. Singapore-MIT Alliance (SMA) 2004-12-10T15:47:10Z 2004-12-10T15:47:10Z 2005-01 Article http://hdl.handle.net/1721.1/7377 en High Performance Computation for Engineered Systems (HPCES); 707906 bytes application/pdf application/pdf |
| spellingShingle | Immersed interface method Navier-Stokes equations Cartesian grid method finite difference fast Poisson solvers irregular domains Le, Duc-Vinh Khoo, Boo Cheong Peraire, Jaime An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title | An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title_full | An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title_fullStr | An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title_full_unstemmed | An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title_short | An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains |
| title_sort | immersed interface method for the incompressible navier stokes equations in irregular domains |
| topic | Immersed interface method Navier-Stokes equations Cartesian grid method finite difference fast Poisson solvers irregular domains |
| url | http://hdl.handle.net/1721.1/7377 |
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