An Iterative Scheme for Steady Compressible Viscous Flow, Modified to Treat Large Potential Forces
An Iterative Scheme for Steady Compressible Viscous Flow, Modified to Treat Large Potential Forces
复制标题
稳定可压缩粘性流的迭代方案，经过修改以处理大势力
DOI：
10.1007/978-3-0348-8243-9_2
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
M. Padula
中科院分区：
文献类型：
--
作者：
M. Bause;J. G. Heywood;A. Novotný;M. Padula
Heywood和Padula在最近的一篇文章[5]中给出了一个求解定常可压缩粘性流的比较简单的迭代格式。它的目的是作为基础的存在理论和数值方法。在他们提出该方案时所作的假设中，有一个是力应该很小。另一方面，Novotnovsky和Pileckas [7]最近通过另一种方法将这种流的存在理论扩展到了力是大势力的小扰动的情况。本文的目的是把诺沃提诺夫和皮莱卡斯的思想，为治疗这样的力量，到海伍德和Padula的更简单和更建设性的计划。这是我们更大目标的一个步骤，这是基于可压缩粘性流的存在性理论的建设性方法，可能是新的数值方法的建议。
A relatively simple iterative scheme for steady compressible viscous flow was given in a recent paper of Heywood and Padula [5]. It was intended as a basis for both the existence theory and for numerical methods. Among the assumptions they made in introducing the scheme, one was that the force should be small. On the other hand, by another method, Novotnÿ and Pileckas [7] recently extended the existence theory for such flow to the case of forces that are small perturbations of large potential forces. The purpose of the present paper is to incorporate the ideas of Novotnÿ and Pileckas, for treating such forces, into the simpler and more constructive scheme of Heywood and Padula. This is one step in our larger objective, which is to base the existence theory for compressible viscous flow on constructive methods that may be suggestive of new numerical methods.