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A high-efficiency discretized immersed boundary method for moving boundaries in incompressible flows
Dong Xu1,2, Jianing Liu1, Yunfeng Wu1
1State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072, China.
Scientific Reports
|January 30, 2023
Summary
A new Discretized Immersed Boundary Method (DIBM) speeds up fluid-structure interaction simulations by discretizing interpolation functions. This method offers significant computational gains for moving boundary simulations with minimal accuracy loss.
Area of Science:
- Computational fluid dynamics
- Numerical methods for fluid mechanics
Background:
- The Immersed Boundary Method (IBM) is effective for fluid-structure interaction (FSI) simulations due to its handling of complex geometries.
- However, the interpolation function in IBM is computationally intensive, especially for moving or deforming boundaries, requiring frequent updates and significant CPU time.
Purpose of the Study:
- To develop a more efficient computational framework for simulating fluid-structure interaction with moving boundaries.
- To reduce the computational cost associated with the interpolation step in the Immersed Boundary Method.
Main Methods:
- A novel Discretized Immersed Boundary Method (DIBM) is proposed.
- DIBM discretizes interpolation functions onto subgrid points within control volumes.
- A universal interpolation stencil is reused, reducing repetitive calculations.
Main Results:
- DIBM achieves speedup ratios of 30-40 or higher compared to conventional IBM.
- Simulation tests show errors under 1%, which can be further reduced with finer subgrid stencils.
- The method demonstrates efficiency in typical moving boundary simulations, such as particle-laden flows.
Conclusions:
- DIBM offers a significant improvement in computational efficiency for simulating moving boundaries in incompressible viscous flows.
- The method provides an effective balance between computational performance and accuracy.
- DIBM presents a viable and efficient alternative to conventional IBM for complex fluid dynamics problems.
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