Immersed Boundary Method for the Solution of 2D Inviscid Compressible Flow Using Finite Volume Approach on Moving Cartesian Grid

Abstract

In this study, two-dimensional inviscid compressible flow is solved around a moving solid body using Immersed Boundary Method (IBM) on a Cartesian grid. Translational motion is handled with a Cartesian grid generated around the body which moves with body on a background grid. In IBM, boundaries are immersed within the grid points. In this paper solution domain is discretized using finite volume approach. To implement boundary conditions on immersed boundaries, a set of Ghost finite volumes are defined along the wall boundaries. Boundary conditions are used to assign flow variables on these Ghost finite volumes. Governing equations are solved using dual time step method of Jameson. Finally, numerical results obtained from the present study are compared with the other numerical results to evaluate the correct performance of the present algorithm and its accuracy.

Keywords

• Immersed boundary method; Cartesian grid; Moving mesh; Unsteady Euler; Finite volume; Jameson algorithm