A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

We propose a high order finite difference linear scheme combined with bound preserving maximum-principle-preserving (MPP) flux limiter to solve the incompressible flow system. For such problem highly oscillatory structure but not strong shocks, our approach seems be less dissipative and much costly than WENO type scheme, has resolution due Hermite reconstruction. Spurious numerical oscillations can controlled by MPP limiter. Numerical tests are performed for Vlasov-Poisson system, 2D guiding-center model Euler The comparison between schemes will demonstrate good performance of proposed approach.