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高精度欧拉流体弹塑性问题的数值方法研究
High Resolution Eulerian Method for Elasto-Plastic Flows
【摘要】 将描述固体材料的应力应变关系与欧拉流体动力学方程组耦合求解,通过引入界面捕捉方法描述多物质界面,将带弹塑性的多材料相互作用问题从形式上转化为计算单一材料问题,采用Roe方法近似求解Riemann问题,给出以Godunov方法为基础的二阶精度欧拉弹塑性流动的数值计算方法,适用于计算大变形流动等问题,并通过数值实验进行验证。
【Abstract】 The stress-strain relationships for elasto-plastic solid materials and fluid dynamic conservation e-quations, as well as the interface capturing equations, are coupled together to be resolved. By means of the classical Roe method for Riemann problem, a second order Godunov scheme usually suitable for single fluid, is adopted for one dimensional elasto-plastic multi-material flow. Some numerical experiments are presented to verify the method.
【关键词】 欧拉方法;
弹塑性流动;
高精度计算格式;
界面捕捉;
【Key words】 eulerian method; elastic-plastic flow; high resolution scheme; interface capturing.;
【Key words】 eulerian method; elastic-plastic flow; high resolution scheme; interface capturing.;
【基金】 国家自然科学基金(10672151);冲击波物理和爆轰物理国家重点实验室基金(9140C6704010704)
- 【文献出处】 应用力学学报 ,Chinese Journal of Applied Mechanics , 编辑部邮箱 ,2008年04期
- 【分类号】O35
- 【被引频次】3
- 【下载频次】119