Wenquan Wang / Kunming University of Science and Technology
This paper presents an implementation of an immersed boundary (IB) method with high-order compact finite difference schemes for fluid-solid interaction involving an immersed body with moving boundaries and complex geometries. The high-order format for space-time discretization is adopted, and an improved MLS (moving least-squares) approximation has been developed to combined the sharp IB method, where the orthogonal function system with a weight function is used as the basis function and overcome these disadvantages of traditional MLS, in which it may cause numerical instabilities because the matrix inversion must be solved and the final equations system is easily ill-conditioned or singular. Moreover, it is easy to improve the interpolation order. Several different flow problems are simulated to validate the accuracy and efficiency of the present sharp IB-LBM method.