Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

摘要: This paper is concerned with numerical methods for the Navier-Stokes-Nernst-Planck-Poisson equation system. The main goal to construct and analyze some stable time stepping schemes discretization use a spectral method spatial discretization. contribution of includes: 1) an useful stability inequality weak solution derived; 2) first order scheme constructed, non-negativity concentration components discrete proved. important property since exact shares same property. Moreover, established, together condition on step size; 3) modified proposed in decouple calculation velocity pressure fluid field. new equally preserves solution, under similar condition; 4) stabilization technique introduced make above mentioned without restriction 5) finally we second finite difference space. tests carried out show that all possess desirable properties, such as conditionally/unconditionally stability, first/second convergence, concentrations, so on.