Incompressible Flows as a System of Conservation Laws with a Constraint
Incompressible Flows as a System of Conservation Laws with a Constraint
复制标题
不可压缩流作为有约束的守恒定律系统
DOI：
--
复制
发表时间：
1978
期刊：
影响因子：
--
通讯作者：
J. C. W. Rogers
中科院分区：
文献类型：
--
作者：
J. C. W. Rogers
摘要: 分析了传统无粘流体力学公式在解决自由边界问题时的一些不足。提出了一种随时间增量产生流场的替代算法公式。在这个公式中，最重要的是质量和动量守恒方程，这些方程是在密度约束下求解的。能量衰减是可能的。当流量足够平稳时，检查新配方与标准配方的一致性。讨论了分层不可压缩流和跨音速流处理的扩展。 （作者）
Abstract : Some inadequacies of conventional formulations of inviscid hydrodynamics with regard to the solution of free boundary problems are analyzed. An alternative algorithmic formulation which produces the flow field incrementally in time is proposed. In this formulation paramountcy is given to the equations of mass and momentum conservation, which are solved subject to a constraint on the density. Energy decay is possible. The new formulations is examined with regard to its consistency with standard formulations when flow quantities are sufficiently smooth. Extensions to the treatment of stratified incompressible flows and transonic flows are discussed. (Author)