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Can I read An Efficient Numerical Method for Studying Interfacial Motion in Two-Dimensional Creeping Flows on EtoBox?
An Efficient Numerical Method for Studying Interfacial Motion in Two-Dimensional Creeping Flows by M.C.A Kropinski is a Engineering article available to read on EtoBox.
What is An Efficient Numerical Method for Studying Interfacial Motion in Two-Dimensional Creeping Flows about?
We present new methods for computing the motion of two-dimensional closed interfaces in a slow viscous flow. The interfacial velocity is found through the solution to an integral equation whose analytic formulation is based on complex-variable theory for the biharmonic equation. The numerical methods for solving the integral equations are spectrally accurate and employ a fast multipole-based iterative solution procedure, which requires only O(N ) operations where N is the number of nodes in the discretization of the interface. The interface is described spectrally, and we use evolution equations that preserve equal spacing in arclength of the marker points. A small-scale decomposition is performed to extract the dominant term in the evolution of the interface, and we show that this dominant term leads to a CFL-type stability constraint. When in an equal arclength frame, this term is linear and we show that implicit time-integration schemes that are explicit in Fourier space can be formulated. We verify this analysis through several numerical examples.
Who reads An Efficient Numerical Method for Studying Interfacial Motion in Two-Dimensional Creeping Flows?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- M.C.A Kropinski
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)
- Published
- 2001
- Language
- EN
- Field
- Engineering (Physical Sciences)