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Immersed Boundary Methods

Cartesian-grid solvers for complex and moving geometries

Overview

We develop sharp-interface immersed boundary methods that allow accurate simulation of flows over complex geometries without body-fitted meshes. By combining ghost-cell reconstruction with high-order Cartesian-grid solvers, the approach maintains near-boundary accuracy while enabling straightforward parallelisation. Current work extends the framework to moving and deforming boundaries.

Governing Equation

F(x)=∫f(s) δ(x−X(s)) ds\mathbf{F}(\mathbf{x}) = \int \mathbf{f}(s)\,\delta\bigl(\mathbf{x} - \mathbf{X}(s)\bigr)\,ds

Immersed boundary force density

Methods

Key Results

🖼️

Velocity / pressure fields around embedded geometry

Add figures and result descriptions here

Related Publications

Sharma, Nair, Vishnu & Sameen — Phil. Trans. R. Soc. A, 2023

DOI

Sharma, Srikanth, Jayachandran & Sameen — Comp. Fluids, 2023

DOI