守恒律方程组的显式有限元格式及应用  

Explicit Finite Element Scheme for the Hyperbolic Conservation Laws

作　　者：季晓梅[1] 黄振侃[1] 齐凯[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022

出　　处：《北京工业大学学报》2006年第11期1047-1051,共5页Journal of Beijing University of Technology

基　　金：北京工业大学校青基金资助(JQ0602200369);北京工业大学博士科研启动基金资助(4010005701001);北京市自然科学基金资助(1042006);教育部留学归国人员科研启动基金资助(2004176).

摘　　要：为了模拟爆轰波在轴对称的变截面激波管中的运动,采用柱坐标系下多维双曲型守恒律方程组的显式有限元方法,得到好的数值效果．该格式保证了统一非线性稳定性,适合于对流占优的问题和多维非线性双曲型守恒律间断解计算．在爆轰波的数值模拟中,对变γ和状态方程的处理,具有创造性．In order to simulate the motivation of detonation wave in the axis-symmetry shock tube with converging cross-sections, we use an explicit finite element scheme for nonlinear multi-dimensional hyperbolic conservation laws, and obtain satisfactory computing results. The scheme is uniformly guarantees nonlinear stability, which is suitable for solving convection dominated problems and providing continuous solutions to nonlinear multi-dimensional hyperbolic conservation laws. In the numerical simulation of detonation wave, the idea to deal with the argument γ and the state equation is creative and the scheme can be used in the scientific computing on a large scale.

关 键 词：守恒律 有限元方法 爆轰波 

分 类 号：O175.29[理学—数学]