A Lagrange scheme for a mathematical model of powder compression

被引：0
|
作者：
Godinaud, G [1 ]
Le Roux, MN [1 ]
Le Roux, AY [1 ]
机构：
[1] Univ Bordeaux 1, UFR Math Info, GRAMM, F-33405 Talence, France
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2001年 / 23卷 / 04期
关键词：
nonconservative hyperbolic systems; conservative hyperbolic systems; splitting techniques; Lagrange method; pressure terms; diffusion terms;
D O I：
10.1137/S1064827597233743
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mathematical model to simulate the compression of pharmaceutical powder under fixed deformation is proposed. This model is an hydrodynamic one, completed with the description of the porosity in the medium. This study leads to the elaboration of a general monodimensional model, made of three nonlinear partial derivative equations and a state law for the pressure. The mathematical resolution of this system is made using a splitting technique and an efficient numerical method.
引用
收藏
页码：1094 / 1112
页数：19
相关论文
共 50 条
  • [1] Mathematical model of sintering of powder solids
    Dmitriev, A. N.
    Bulanov, V. I.
    DIFFUSION IN SOLIDS AND LIQUIDS: MASS DIFFUSION, 2006, 258-260 : 101 - +
  • [2] Mathematical model of electromechanical compression system
    Antonova, Maryna
    Mykola, Antonov
    2020 IEEE 7TH INTERNATIONAL CONFERENCE ON ENERGY SMART SYSTEMS (2020 IEEE ESS), 2020, : 306 - 309
  • [3] ON MATHEMATICAL MODEL OF MOTORED COMPRESSION TEMPERATURE
    TSAO, KC
    WU, SM
    SAE TRANSACTIONS, 1966, 74 : 120 - &
  • [4] Compression of woven reinforcements: A mathematical model
    Lomov, SV
    Verpoest, I
    JOURNAL OF REINFORCED PLASTICS AND COMPOSITES, 2000, 19 (16) : 1329 - 1350
  • [5] A MATHEMATICAL MODEL OF THE COMPRESSION OF A SPINAL DISC
    Ngwa, Matthias
    Agyingi, Ephraim
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2011, 8 (04) : 1061 - 1083
  • [6] Mathematical model of the evolution of the mesostructure in powder composite
    Kovalchenko, MS
    Nikolenko, AN
    POWDER METALLURGY AND METAL CERAMICS, 1996, 35 (3-4) : 181 - 184
  • [7] Mathematical model of evolution of mesostructure in powder composite
    Koval'chenko, M.S.
    Nikolaenko, A.N.
    Poroshkovaya Metallurgiya, 1996, (3-4): : 77 - 80
  • [8] Mathematical model and general laws of wet compression
    王永青
    刘铭
    廉乐明
    何健勇
    严家騄
    Journal of Harbin Institute of Technology, 2002, (01) : 86 - 90
  • [9] Mathematical model of hot metal desulphurization by powder injection
    Zou, ZS
    Zou, YS
    Zhang, LB
    Wang, N
    ISIJ INTERNATIONAL, 2001, 41 : S66 - S69
  • [10] An improved mathematical model for hyper redundant hybrid mechanism based on the Lagrange method
    Rahmani, Arash
    Faroughi, Shirko
    Haddad Khodaparast, Hamed
    Yang, Chenguang
    INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (12) : 3300 - 3321
12345