Construction and Application of Finite Spectral ENO Scheme
Liu Hongwei(1), Wang Jianping(1,2)
(1,Peking University, Beijing, 100871) (2,Yokkaichi University, Japan, 512-8512)

Abstract: In this paper a new finite spectral essentially non-oscillatory (FSEN O) scheme for treating discontinuities is constructed. Uniform high accuracey in smooth regions of solutions and sharp capturing of shock waves are achieved by using this method for shock tube problems. The interaction between turbulence and shock wave is simulated with high resolution. The FSENO scheme is efficient in our numerical tests.
Keywords: finite spectral method, interpolation functions, Euler equations, ENO scheme.