流体弹塑性介质中波动与断裂计算的二阶GODUNOV方法  

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

作　　者：汤寒松[1] 

机构地区：[1]北京航空航天大学

出　　处：《计算数学》1999年第2期225-236,共12页Mathematica Numerica Sinica

基　　金：国家自然科学基金;航空基金

摘　　要：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.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.

关 键 词：流体弹塑性介质 波动 断裂 黎曼问题 Godunov法 

分 类 号：O345[理学—固体力学] O241.82[理学—力学]