What question did this study set out to answer?

To develop a simple, highly efficient, second-order accurate immersed-boundary method for the incompressible Navier–Stokes equations in complex geometries.

July 19, 2025Journal of Computational PhysicsOpen Access

A simple and efficient second-order immersed-boundary method for the incompressible Navier–Stokes equations

View Full Paper

Ask AI

Bookmark

To develop a simple, highly efficient, second-order accurate immersed-boundary method for the incompressible Navier–Stokes equations in complex geometries.
Formulated a discrete-forcing boundary method integrated with second-order finite differences that modifies only the central weight of the Laplacian stencil in the momentum equation.
Applied spatial and temporal boundary corrections implicitly while retaining a fully explicit time-advancement scheme that avoids matrix inversion.
Evaluated performance using laminar two-dimensional flows, turbulent flow across a sinusoidal channel wall, and flow through an anatomically complex human nasal cavity.
Demonstrated second-order spatial accuracy and preservation of temporal accuracy across all geometric test cases with negligible computational overhead.
Eliminated the requirement for boundary corrections on the continuity equation and pressure terms.
Accurately resolved complex three-dimensional turbulent fluid-solid interfaces in both sinusoidal channels and human nasal passages.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

Computational study demonstrates a second-order immersed-boundary formulation in complex geometries, indicating an efficient framework for turbulent flow simulations.

Cite This Study

Luchini et al. (2025) studied this question.

synapsesocial.com/papers/6a110e9aa334b8d43a169eeb https://doi.org/10.1016/j.jcp.2025.114245

View Full Paper

Ask AI

Bookmark

Implication

Computational study demonstrates a second-order immersed-boundary formulation in complex geometries, indicating an efficient framework for turbulent flow simulations.

A simple and efficient second-order immersed-boundary method for the incompressible Navier–Stokes equations

Key Points

Discussion

Implication

Cite This Study

A simple and efficient second-order immersed-boundary method for the incompressible Navier–Stokes equations

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider