An Improved Hybrid Cartesian/Immersed Boundary Method for Flow Simulation with Moving Boundaries
Abstract
To simulate flow problems with moving fluid-solid interfaces, a boundary treatment technique based on a hybrid Cartesian/immersed boundary method is presented. In the vicinity of the immersed boundary, a forcing term is added into the governing flow equations to modify the discretization scheme for the viscous term during its spatial discretization. Addition of such a term enforces desired boundary condition on the immersed boundary. A one-dimensional linear interpolation scheme is used to obtained required information for the modified discretization scheme when dealing with a moving boundary. The present method is essentially second-order accurate and can obtain results that are in good agreement with benchmark references when simulating the flow induced by the in-line oscillation of a circular cylinder.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- July 2021
- DOI:
- 10.1088/1742-6596/1985/1/012077
- Bibcode:
- 2021JPhCS1985a2077S
- Keywords:
-
- immersed boundary method;
- moving boundaries;
- Cartesian grid;
- incompressible flow;
- finite difference method