Numerical solutions of incompressible Euler and Navier-Stokes equations byefficient discrete singular convolution method

An efficient discrete singular convolution (DSC) method is introduced to th e numerical solutions of incompressible Euler and Navier-Stokes equations w ith periodic boundary conditions. Two numerical tests of two-dimensional Na vier-Stokes equations with periodic boundary conditions and Euler equations for doubly periodic shear layer flows are carried out by using the DSC met hod for spatial derivatives and fourth-order Runge-Kutta method for time ad vancement, respectively. The computational results show that the DSC method is efficient and robust for solving tho problems of incompressible flows, and has the potential of being extended to numerically solve much broader p roblems in fluid dynamics.