Postdoctoral Researcher in Numerical Analysis for Computational Fluid dynamics

Title of the research: High order numerical schemes for moving complex-shaped domains in incompressible fluid dynamics.

Research Project:“Efficient numerical schemes and optimal control methods for time-dependent partial differential equations”

PRIN 2022 - Macrosettore PE “Mathematics, physical sciences, information and communication, engineering, universe and earth sciences” - Settore PE1 “Mathematics”

Academic Recruitment Field: 01/A5 – NUMERICAL ANALYSIS

Scientific Field: MAT/08 - NUMERICAL ANALYSIS

Research activity to be accomplished

The project aims to develop a fourth-order accurate numerical method for solving the Navier-Stokes equations in moving domains, with the potential for extending its accuracy to higher orders. This method adopts a monolithic approach, solving the equations simultaneously and resulting in a large linear system at each time step. The numerical algorithm will be implemented on 3D parallel architectures, making extensive use of MPI and PETSc libraries. This method falls under the category of unfitted boundary methods, where the domain is immersed in a fixed grid and curved boundaries are handled using ghost-point techniques. Spatial multiscale effects, influenced by potential high curvature of the boundaries, will be addressed using a multigrid approach. Ultimately, the code will be integrated with structural mechanics for tackling fluid-structure interaction problems.

Scientific Director: Prof. ARMANDO COCO

Duration of the contract: 12 months with possible renewing