守恒律方程组的显式有限元格式及应用

基金项目:

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).

详细信息

Explicit Finite Element Scheme for the Hyperbolic Conservation Laws

College of Applied Sciences, Beijing University of Technology, Beijing 100022, China

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.
- 守恒律 /
- 有限元方法 /
- 爆轰波
Abstract: 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.
- conservation laws /
- finite element method /
- detonation wave

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