A NONCONSERVATIVE HYPERBOLIC SYSTEM MODELING SPRAY DYNAMICS .1. SOLUTION OF THE RIEMANN PROBLEM

被引：45

作者：

RAVIART, PA ^{[1
]}

SAINSAULIEU, L ^{[1
]}

机构：

[1] ECOLE NATL PONTS & CHAUSSEES,CERMICS,F-93167 NOISY LE GRAND,FRANCE

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1995年 / 5卷 / 03期

关键词：

D O I：

10.1142/S021820259500019X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dow of a spray of liquid droplets in a gas is modeled by a convection-diffusion system whose convection part is hyperbolic and written in nonconservation form. As a first step towards the numerical solution of the second order system, we solve Riemann problem for the convection part: the shock waves solutions of the latter system are defined as the limit of traveling waves solution of the whole system when the diffusion is neglected. The structure of the first order system allows to define discontinuous solutions associated with the linearly degenerate fields. The definition of rarefaction waves solution of the latter system is standard and we solve Riemann problems at least for initial data with small variation.

引用

页码：297 / 333

页数：37