Simulation of aerodynamics of a moving body prescribed by immersed boundaries on dynamically adaptative unstructured mesh

The paper is devoted to the development of integrated technology for numerical simulation of aerodynamics of moving bodies prescribed by the immersed boundaries method on unstructured meshes. The dynamic mesh adaptation is used to improve the accuracy. The mesh adaptation method in use is built on the base of nodes-redistribution techniques. Its implementation implies the solution of additional differential equation governing the mesh movement. The method allows to keep a topology of the initial mesh and does not increase significantly the computational costs. The technology is developed for 2D formulations and verified on model problems.