Influence of the Discretization Order on the Accuracy of an Immersed-Boundary Procedure

Giuseppe Bonfigli
2009 19th AIAA Computational Fluid Dynamics   unpublished
A finite-difference numerical procedure with immersed-boundary capabilities is presented for the solution of the incompressible Navier Stokes equations with up to fourthorder accuracy in time and space. Biased difference stencils are constructed numerically to evaluate derivatives at nodes close to the immersed boundary, so that the order of accuracy in space can be easily modified by choosing the stencil dimension. Numerical tests for flows with moderate Reynolds number are presented to
more » ... e the influence of the spatial accuracy on the solution. Both non-physical manufactured solutions and the classical test case of the flow around a circular cylinder are considered.
doi:10.2514/6.2009-3553 fatcat:q4nbirwyy5cxbi3wqkjqbmlgmy