In the present paper, we propose a particle-based method for the visual simulation of explosive flames. This method consists of a numerical simulation method based on a fluid model described by discrete Lagrangian using particles and a rendering method for generating a CG animation from the movement data of the particles. This fluid model uses flame particles and air particles. The model calculates the buoyancy caused by the difference in temperature as the external force in the Navier-Stokes equations and approximates the viscous force and pressure via a discrete particle model. In addition, the heat conduction between particles is taken into account. The proposed method realizes the representation of distinctive phenomena such as an ascending airflow with a quantity of explosive flame and a swirling airflow behind the ascending airflow. CG images are rendered using a Z-buffer based volume rendering method.