APPROXIMATE RIEMANN SOLVERS, PARAMETER VECTORS, AND DIFFERENCE-SCHEMES
APPROXIMATE RIEMANN SOLVERS, PARAMETER VECTORS, AND DIFFERENCE-SCHEMES
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DOI：
10.1006/jcph.1997.5705
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发表时间：
1981-01-01
影响因子：
4.1
通讯作者：
ROE, PL
中科院分区：
文献类型：
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作者：
ROE, PL
几个数值计划的解决方案的双曲守恒律的基础上，利用所获得的信息，考虑一系列的黎曼问题。有人认为，在现有的计划中，这些信息的大部分是退化的，只有某些功能的精确解是值得努力的。研究表明，这些特征可以通过构造具有某种“性质U”的矩阵来获得。具有这种性质的矩阵表现为稳态和非稳态气体动力学方程。为了构造它们，发现引入“参数向量”是有帮助的，它显著地简化了守恒律的结构。
Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in existing schemes much of this information is degraded and that only certain features of the exact solution are worth striving for. It is shown that these features can be obtained by constructing a matrix with a certain “Property U.” Matrices having this property are exhibited for the equations of steady and unsteady gasdynamics. In order to construct them, it is found helpful to introduce “parameter vectors” which notably simplify the structure of the conservation laws.