Abstract: Based on the two-dimensional Euler equation with detailed finite-rate chemistry, detonation propagation of hydrogen/air mixture in an annular tube was studied numerically. Fifth-order weighted essentially non-oscillatory (WENO) scheme and third-order TVD Runge-Kutta were used to discretize the spatial derivatives and the time term, respectively. Moreover, parallel technology was also adopted. The numerical results show that outer wall is convergent, which makes cell sizes smaller around outer wall and more uniform due to its compression. However, inner wall is divergent, which makes cell sizes larger around outer wall due to its expansion. With variety of curve of inner and outer wall detonation cells around inner wall disappear and reproduce periodically.