Stable and accurate yet simple and computationally tractable methods for treating interfaces are of great importance in fluid dynamics problems involving immersed boundaries. Body-fitted discretization approaches, which approximate the fluid dynamics on a computational domain that conforms to the interface geometry, can provide high accuracy for such problems but are limited by the continued difficulties of mesh generation, especially for problems involving substantial motion of the immersed interface.
A widely used alternative approach to these types of interactions is the immersed boundary (IB) method introduced by Peskin. Unlike body-fitted methods, the IB approach avoids dynamic mesh regeneration and allows for the use of fast structured-grid fluid solvers. In the classical IB method, the Navier-Stokes equations are solved on a fixed background Eulerian grid, and the immersed structure is represented as a collection of Lagrangian markers. Ghost hunter vena download free 1.07 verification#.
