A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian grid to solve the system using a streamfunction–vorticity formulation and with discontinuities representing the embedded objects. The no-penen...
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| Vydané v: | Journal of computational physics Ročník 191; číslo 1; s. 177 - 205 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Inc
01.10.2003
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| ISSN: | 0021-9991, 1090-2716 |
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| Abstract | We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian grid to solve the system using a streamfunction–vorticity formulation and with discontinuities representing the embedded objects. The no-penentration condition for the moving geometry is satisfied by superposing a homogenous solution to the Poisson’s equation for the streamfunction. The no-slip condition is satisfied by generating vorticity on the surfaces of the objects. Both the initial Poisson solution and the evaluation of the homogenous solution require embedding irregular discontinuities in a fast Poisson solver. Computation time is dictated by the time required to do a fast Poisson solution plus solve an integral form of Laplace’s equation. There is no significant increase in computational cost if the geometry of the embedded objects is variable and moving relative to the underlying grid. We test the method against the canonical example of flow past a cylinder, and obtained new results on the flow and forces of two cylinders moving relative to each other. |
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| AbstractList | We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian grid to solve the system using a streamfunctionvorticity formulation and with discontinuities representing the embedded objects. The no-penentration condition for the moving geometry is satisfied by superposing a homogenous solution to the Poisson's equation for the streamfunction. The no-slip condition is satisfied by generating vorticity on the surfaces of the objects. Both the initial Poisson solution and the evaluation of the homogenous solution require embedding irregular discontinuities in a fast Poisson solver. Computation time is dictated by the time required to do a fast Poisson solution plus solve an integral form of Laplace's equation. There is no significant increase in computational cost if the geometry of the embedded objects is variable and moving relative to the underlying grid. We test the method against the canonical example of flow past a cylinder, and obtained new results on the flow and forces of two cylinders moving relative to each other. (Author) We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian grid to solve the system using a streamfunction–vorticity formulation and with discontinuities representing the embedded objects. The no-penentration condition for the moving geometry is satisfied by superposing a homogenous solution to the Poisson’s equation for the streamfunction. The no-slip condition is satisfied by generating vorticity on the surfaces of the objects. Both the initial Poisson solution and the evaluation of the homogenous solution require embedding irregular discontinuities in a fast Poisson solver. Computation time is dictated by the time required to do a fast Poisson solution plus solve an integral form of Laplace’s equation. There is no significant increase in computational cost if the geometry of the embedded objects is variable and moving relative to the underlying grid. We test the method against the canonical example of flow past a cylinder, and obtained new results on the flow and forces of two cylinders moving relative to each other. |
| Author | Russell, David Jane Wang, Z. |
| Author_xml | – sequence: 1 givenname: David surname: Russell fullname: Russell, David email: dbr8@cornell.edu – sequence: 2 givenname: Z. surname: Jane Wang fullname: Jane Wang, Z. email: jane.wang@cornell.edu |
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| Keywords | Variable geometry Embedded discontinuity in Poisson solver Computational fluid dynamics Flow past multiple bodies Moving boundary in Cartesian grid Flow past two cylinders |
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| Snippet | We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian... |
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| SubjectTerms | Computational fluid dynamics Embedded discontinuity in Poisson solver Flow past multiple bodies Flow past two cylinders Moving boundary in Cartesian grid Variable geometry |
| Title | A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow |
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