Abstract: This paper presents two schemes for solving three-dimensional Euler equations. These schemes are:(1)an efficient implicit-explicit scheme. It is used to treat the spanwise derivatives explicitly and the orther spatial derivatives implicitly, (2) an improved LU scheme for 3D flow. The two schemes are presented based on Jameson Turkel's LU decompositions and Harten's TVD concept. Numerical results indicate that these schemes are efficient and can generate good shock resolution for solving steady-state problem.

Key words: high resolution diflerence scheme, LU decomposition, 3D flow