The mathematical model of compressible fluid flow

被引：0
|
作者：
Leonavičiene, T. [1 ]
Pileckas, K. [1 ]
机构：
[1] Institute of Mathematics and Informatics, Akademijos 4, Vilnius 2600, Lithuania
来源：
Mathematical Modelling and Analysis | 2002年 / 7卷 / 01期
关键词：
Problem solving - Flow of fluids - Nonlinear equations;
D O I：
暂无
中图分类号：
O35 [流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
In this note wo consider the mathematical model of the isothermal compressible fluid flow in an exterior domain Ω ⊂ 3. In order to solve this problem we apply a decomposition scheme and reduce the nonlinear problem to an operator equation with a contraction operator. After the decomposition the nonlinear problem splits into three linear problems: Neumann like problem, modified Stokes problem and transport equation. These linear problems are solved in weighted function spaces with detached asymptotics.
引用
收藏
页码：117 / 126
相关论文
共 50 条
  • [1] Mathematical model of turbulent compressible flow based on two-fluid approach
    Alam, Mohammad Mahtab
    Malikov, Zafar M.
    Malikov, Bekhzod Z.
    Mehdi, Akermi
    Gorji, M. R.
    Belhadj, Walid
    JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS, 2023, 144
  • [2] TWO-FLUID MATHEMATICAL MODEL FOR COMPRESSIBLE FLOW IN FRACTURED POROUS MEDIA
    Khlaifat, A. L.
    LATIN AMERICAN APPLIED RESEARCH, 2008, 38 (03) : 213 - 225
  • [3] MATHEMATICAL-MODEL OF SEPARATED FLOW OF COMPRESSIBLE FLUID AROUND THE LIFTING SURFACES
    GRASKIN, SS
    NISHT, MI
    DOKLADY AKADEMII NAUK, 1994, 339 (03) : 335 - 341
  • [4] APPLICATION OF A PIECEWISE CONSTANT MATHEMATICAL-MODEL FOR STUDYING WAVES IN A VISCOUS COMPRESSIBLE FLUID-FLOW
    SELEZOV, IT
    KORNILOV, IE
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1975, (12): : 1115 - 1118
  • [5] Mathematical model of fluid flow in nanochannels
    Indeitsev D.A.
    Abramyan A.K.
    Bessonov N.M.
    Mirantsev L.V.
    International Journal of Nanomechanics Science and Technology, 2010, 1 (02): : 151 - 168
  • [6] On the Mathematical Modelling of a Compressible Viscoelastic Fluid
    Bollada, P. C.
    Phillips, T. N.
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (01) : 1 - 26
  • [7] On the Mathematical Modelling of a Compressible Viscoelastic Fluid
    P. C. Bollada
    T. N. Phillips
    Archive for Rational Mechanics and Analysis, 2012, 205 : 1 - 26
  • [8] Mathematical model for fluid flow in consecutive bifurcations
    Miladi, W.
    Crolet, J. M.
    COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2011, 14 : 163 - 165
  • [9] Numerical Analysis of a Model of Two Phase Compressible Fluid Flow
    Eduard Feireisl
    Mădălina Petcu
    Bangwei She
    Journal of Scientific Computing, 2021, 89
  • [10] Numerical Analysis of a Model of Two Phase Compressible Fluid Flow
    Feireisl, Eduard
    Petcu, Madalina
    She, Bangwei
    JOURNAL OF SCIENTIFIC COMPUTING, 2021, 89 (01)
12345