Solution of two-dimensional multi-interface Stefan problem by the method of dynamic adaptation

被引：0
|
作者：
Mazhukin, V.I. [1 ]
Chuiko, M.M. [2 ]
机构：
[1] Institute of Mathematical Modelling, RAS, Miusskaya Sq. 4, Moscow, 125047, Russia
[2] Institute of Mathematics, NAS of Belarus, Surganov St. 11, Minsk, 220072, Belarus
来源：
Mathematical Modelling and Analysis | 2001年 / 6卷 / 01期
关键词：
D O I：
10.3846/13926292.2001.9637152
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
In the present work a method of numerical solution of multi-interface two-dimensional Stefan problem with explicit tracking of the interfaces in the domains of arbitrary form is considered. The method is based on the idea of dynamic adaptation of the calculated grid by means of transition to an arbitrary non-stationary coordinate system. The coordinate system transformation is controlled by the solution. The method is described by using the example of the problem that is typical for treatment of materials with concentrated energy fluxes.
引用
收藏
页码：129 / 137
相关论文
共 50 条
  • [21] Dynamic interface selection in portable multi-interface terminals
    Devi, Sowmia M. K.
    Agrawal, Prathima
    2007 IEEE INTERNATIONAL CONFERENCE ON PORTABLE INFORMATION DEVICES, 2007, : 162 - 166
  • [22] A Dynamic Programming Based Solution to the Two-Dimensional Jump-It Problem
    Saquer, Jamil
    Iqbal, Razib
    PROCEEDINGS OF THE SOUTHEAST CONFERENCE ACM SE'17, 2017, : 219 - 222
  • [23] A solution to the two-dimensional findpath problem
    Vanualailai, J
    Ha, JH
    Nakagiri, S
    DYNAMICS AND STABILITY OF SYSTEMS, 1998, 13 (04): : 373 - 401
  • [24] ON THE SOLUTION OF THE TWO-DIMENSIONAL INVERSE PROBLEM
    TIMOSHKOVA, EI
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1989, (03): : 115 - 119
  • [25] Fractional variational iteration method for solving two-dimensional Stefan problem with fractional order derivative
    Nama, Adnan Yassean
    Fadhel, Fadhel S.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 2167 - 2174
  • [26] Anisotropic mesh adaptation for the solution of the Stefan problem
    Belhamadia, Y
    Fortin, A
    Chamberland, É
    JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (01) : 233 - 255
  • [27] ON THE SOLUTION OF THE TWO-DIMENSIONAL INVERSE DYNAMIC PROBLEM OF SEISMOMETRY BY THE FINITE-DIFFERENCE METHOD .1.
    SIGALOV, YB
    TIMOSHIN, YV
    GEOPHYSICAL JOURNAL, 1983, 5 (04): : 508 - 521
  • [28] AN EXTERIOR INTERFACE PROBLEM IN TWO-DIMENSIONAL ELASTODYNAMICS
    BIELAK, J
    MACCAMY, RC
    QUARTERLY OF APPLIED MATHEMATICS, 1983, 41 (01) : 143 - 159
  • [29] A sharp interface isogeometric solution to the Stefan problem
    Song, T.
    Upreti, K.
    Subbarayan, G.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 284 : 556 - 582
  • [30] Solution of the two-dimensional magnetoelastic Lamb problem
    Baghdasaryan, GY
    Danoyan, ZN
    Mikilyan, MA
    TOPICS IN ANALYSIS AND ITS APPLICATIONS, 2004, 147 : 385 - 396
12345