流体弹塑性介质中波动与断裂计算的二阶GODUNOV方法

1．引言工程实践的发展已使得研究弹塑性波动问题的高精度、高分辨率数值方法成为日益重要的课题．复杂的材料特性等因素给这方面的研究带来了相当的困难．近些年来，人们在以气体力学Godunov方法为基础的方向上取得了进展，参见文献［1，2，3］．本文将在此方向上，建立一种新的弹塑性介质中波动、断裂现象的高精度、高分辨率数值模拟方法．流体弹塑性体是一种兼有固体与流体特征的弹塑性模型风．这种模型自然、连续地描述了固体与流体间的过渡，在爆炸、高速碰撞等问题中经常被采用．此外，我们以vanLeer的＊＊S＊L格式问为框架提出了一…

A SECOND-ORDER GODUNOV METHOD FOR COMPUTING WAVE AND FRACTURE PROBLEMS IN HYDRO-ELASTO-PLASTIC BODIES

A finite difference method is proposed for modeling wave motion and fracture phenomenon in hydro-elasto-plastic bodies. The method is a Godunov type approach,and it has second-order accuracy and captures shocks and fracture zones with high resolution. In the class of given wav systems the Riemann problems involved in the method have unique solutions, and the solutions can be obtained with efficient procedures. Numerical results are satisfactory in computations of Riemann problems and spallation in a steel plate.