Abstract
A volume-penalizing immersed boundary (IB) method is presented that facilitates the computation of fluid flow in complex porous media. The computational domain is composed of a uniform Cartesian grid, and solid bodies are approximated on this grid using a series of grid cells (i.e., a ''staircase'' approximation). Solid bodies are distinguished from fluid regions using a binary phase-indicator function: Taking the value of ''1'' in the solid parts of the domain and ''0'' in the fluid parts. The effect of solid bodies on the flow is modeled using a source term in the momentum equations. The source term is active only within solid parts of the domain, and enforces the no-slip boundary condition. Fluid regions are governed by the incompressible Navier-Stokes equations. An extension of the IB method is proposed to tackle coupled fluid-solid heat transfer. The extended IB method is validated for Poiseuille flow, which allows for a direct comparison of the numerical results against a closed analytical solution. We subsequently apply the extended IB method to flow in a structured porous medium and focus on bulk properties such as the gradient of the average pressure and the Nusselt number. Reliable qualitative results were obtained with 16-32 grid points per singly-connected fluid region.
Original language | English |
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Title of host publication | Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010 |
Editors | J.C.F Pereira, A. Sequeira, J.M.C. Pereira |
Place of Publication | Lisbon |
Publisher | Technical University of Lisbon |
Number of pages | 16 |
ISBN (Print) | 978-989-96778-1-4 |
Publication status | Published - Jun 2010 |
Event | 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal Duration: 14 Jun 2010 → 17 Jun 2010 Conference number: 5 |
Conference
Conference | 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 |
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Abbreviated title | ECCOMAS ECFD 2010 |
Country/Territory | Portugal |
City | Lisbon |
Period | 14/06/10 → 17/06/10 |
Keywords
- Incompressible Navier-Stokes equations
- Immersed boundary method
- Numerical simulation
- Porous media
- Volume penalization
- Conjugate heat transfer